Showing 1–50 of 129 results for author: Yan, Y

Metrologically advantageous states: long-range entanglement and asymmetric error correction

Authors: Junjie Chen, Rui Luo, Yuxuan Yan, You Zhou, Xiongfeng Ma

Abstract: Quantum metrology aims to exploit many-body quantum states to achieve parameter-estimation precision beyond the standard quantum limit. For unitary parameter encoding generated by local Hamiltonians, such enhancement is characterized by superlinear scaling of the quantum Fisher information (QFI) with system size. Despite extensive progress, a systematic understanding of which many-body quantum sta… ▽ More Quantum metrology aims to exploit many-body quantum states to achieve parameter-estimation precision beyond the standard quantum limit. For unitary parameter encoding generated by local Hamiltonians, such enhancement is characterized by superlinear scaling of the quantum Fisher information (QFI) with system size. Despite extensive progress, a systematic understanding of which many-body quantum states can exhibit this scaling has remained elusive. Here, we develop a general framework that connects metrological performance to long-range entanglement, state-preparation complexity, and quantum error-correction properties. We prove that super-linear QFI scaling necessarily requires long-range entanglement by deriving rigorous complexity-dependent upper bounds on the QFI. We further show that, for two broad classes of quantum error-correcting codes, nondegenerate codes and Calderbank--Shor--Steane quantum low-density parity-check codes, a nonconstant code distance precludes super-linear QFI scaling for a wide class of local Hamiltonians, revealing a fundamental incompatibility between metrological sensitivity and protection against local noise. Finally, we identify constructive routes that evade this obstruction by exploiting asymmetric code structures. In particular, we show that states associated with classical low-density parity-check codes, as well as asymmetric toric code states, both having asymmetric logical distances, can achieve Heisenberg-limited scaling. Together, our results establish long-range entanglement and asymmetric error correction as the essential resource underlying quantum metrology and clarify the interplay among state complexity, error correction, and metrological power. △ Less

Submitted 23 December, 2025; originally announced December 2025.

Comments: 19 pages, 4 figures

Extended dissipaton theory for higher-order bath couplings and application to non-Condon spectroscopy with anharmonicity

Authors: Zi-Fan Zhu, Yu Su, Yao Wang, Rui-Xue Xu, YiJing Yan

Abstract: In this work, we develop an extended dissipaton theory that generalizes the environmental couplings beyond the conventional linear and quadratic forms, enabling the treatment of arbitrary order of bath couplings. Applying this theoretical framework to the condensed-phase non-Condon spectroscopy, we demonstrate the interplay of anharmonicity, non-Condon and solvent effects on optical spectra. Preci… ▽ More In this work, we develop an extended dissipaton theory that generalizes the environmental couplings beyond the conventional linear and quadratic forms, enabling the treatment of arbitrary order of bath couplings. Applying this theoretical framework to the condensed-phase non-Condon spectroscopy, we demonstrate the interplay of anharmonicity, non-Condon and solvent effects on optical spectra. Precise simulations are carried out with high efficiency on linear absorption spectra involving the above mentioned correlated effects. We exhibit how an anharmonic potential modulates the vibronic feature, offering insights into the role of nonlinear environmental couplings in spectroscopic signatures and exemplifying the success of the extended dissipaton formalism as an exact and efficient method for higher-order bath couplings. △ Less

Submitted 14 December, 2025; originally announced December 2025.

Comments: Part of Special Issue dedicated to Professor Qing-shi Zhu on the occasion of his 80th birthday

Canonical Quantum Mpemba Effect in a Dissipative Qubit

Authors: Xingli Li, Yan Li, Yangqian Yan

Abstract: The Mpemba effect, where a hotter system cools faster than a colder one under otherwise identical conditions, has been extensively studied in classical systems. In this work, we present the quantum analogue of the Mpemba effect using a dissipative qubit, which is referred to as the canonical quantum Mpemba effect. We demonstrate that, under the identical conditions, the relaxation dynamics of a qu… ▽ More The Mpemba effect, where a hotter system cools faster than a colder one under otherwise identical conditions, has been extensively studied in classical systems. In this work, we present the quantum analogue of the Mpemba effect using a dissipative qubit, which is referred to as the canonical quantum Mpemba effect. We demonstrate that, under the identical conditions, the relaxation dynamics of a qubit initialized in a thermal state with a higher temperature can be exponentially faster than those of a colder thermal state. Strikingly, this acceleration is determined solely by the initial temperature of the system, independent of other parameters. The relaxation is confirmed to be a genuine cooling process via the effective steady state temperature, mirroring its classical counterpart. Last, we propose a practical classical quantum hybrid algorithmic quantum circuit to realize this effect using superconducting qubits experimentally. △ Less

Submitted 21 November, 2025; originally announced November 2025.

Comments: 7 pages, 6 figures, Supplementary Material

Scaling behavior of dissipative systems with imaginary gap closing

Authors: Jinghui Pi, Xingli Li, Yangqian Yan

Abstract: Point-gap topology, characterized by spectral winding numbers, is crucial to non-Hermitian topological phases and dramatically alters real-time dynamics. In this paper, we study the evolution of quantum particles in dissipative systems with imaginary gap closing, using the saddle-point approximation method. For trivial point-gap systems, imaginary gap-closing points can also be saddle points. This… ▽ More Point-gap topology, characterized by spectral winding numbers, is crucial to non-Hermitian topological phases and dramatically alters real-time dynamics. In this paper, we study the evolution of quantum particles in dissipative systems with imaginary gap closing, using the saddle-point approximation method. For trivial point-gap systems, imaginary gap-closing points can also be saddle points. This leads to a single power-law decay of the local Green's function, with the asymptotic scaling behavior determined by the order of these saddle points. In contrast, for nontrivial point-gap systems, imaginary gap-closing points do not coincide with saddle points in general. This results in a dynamical behavior characterized by two different scaling laws for distinct time regimes. In the short-time regime, the local Green's function is governed by the dominant saddle points and exhibits an asymptotic exponential decay. In the long-time regime, however, the dynamics is controlled by imaginary gap-closing points, leading to a power-law decay envelope. Our findings advance the understanding of quantum dynamics in dissipative systems and provide predictions testable in future experiments. △ Less

Submitted 7 November, 2025; originally announced November 2025.

Comments: 11 pages, 4 figures

Auxiliary-state facilitated phase synchronization phenomena in isolated spin systems

Authors: Xylo Molenda, S. Zhong, B. Viswanathan, Xingli Li, Y. Yan, A. M. Marino, D. Blume

Abstract: Extending classical synchronization to the quantum domain is of great interest both from the fundamental physics point of view and with a view toward quantum technology applications. This work characterizes phase synchronization of an effective spin-1 system, which is realized by coupling three quantum states with infinite lifetime to auxiliary excited states that have a finite lifetime. Integrati… ▽ More Extending classical synchronization to the quantum domain is of great interest both from the fundamental physics point of view and with a view toward quantum technology applications. This work characterizes phase synchronization of an effective spin-1 system, which is realized by coupling three quantum states with infinite lifetime to auxiliary excited states that have a finite lifetime. Integrating out the excited states, the effective spin-1 model features coherent and incoherent effective couplings. Our key findings are: (i) Phase synchronization can be controlled by adjusting the phases of the couplings to the excited states. (ii) Unlike in the paradigmatic spin-1 system studied in the literature, where the dissipative couplings describe decay into the limit cycle state, the effective spin-1 model investigated in this work is governed by a competition between dissipative decay into and out of the limit cycle state, with the dissipative decay out of the limit cycle state playing a critical role. (iii) We identify a parameter regime where phase synchronization of the effective spin-1 system is -- in the absence of coherent effective couplings -- governed entirely by the effective dissipators. The effective spin-1 model is benchmarked through comparisons with master equation calculations for the full Hilbert space. Physical insights are gained through analytical perturbation theory calculations. Our findings, which are expected to hold for a broad class of energy level and coupling schemes, are demonstrated using hyperfine states of $^{87}$Rb. △ Less

Submitted 31 October, 2025; originally announced October 2025.

Comments: 19 pages, 7 figures

The Phase-Coupled Caldeira-Leggett Model: Non-Markovian Open Quantum Dynamics beyond Linear Dissipation

Authors: Ao-Xiang Chang, Yu Su, Zi-Fan Zhu, Yao Wang, Rui-Xue Xu, YiJing Yan

Abstract: We introduce the \textit{Phase-Coupled Caldeira-Leggett} (PCL) model of quantum dissipation and develop an exact framework for its dynamics. Unlike the conventional Caldeira-Leggett model with linear system-bath coupling $H_{\mathrm{SB}}\propto\hat F$, the PCL model features an exponential interaction $H_{\mathrm{SB}}\propto e^{iλ\hat F}$, where $\hat F$ denotes the collective bath coordinate. Thi… ▽ More We introduce the \textit{Phase-Coupled Caldeira-Leggett} (PCL) model of quantum dissipation and develop an exact framework for its dynamics. Unlike the conventional Caldeira-Leggett model with linear system-bath coupling $H_{\mathrm{SB}}\propto\hat F$, the PCL model features an exponential interaction $H_{\mathrm{SB}}\propto e^{iλ\hat F}$, where $\hat F$ denotes the collective bath coordinate. This model unifies concepts from quantum Brownian motion and polaron physics, providing a general platform to study phase-mediated dissipation and decoherence beyond the linear-response regime. Despite its nonlinear system-bath coupling, the Gaussian nature of the environment allows a nonperturbative and non-Markovian treatment of PCL model within the algebra of dissipative quasiparticles. We obtain an exact closed-form equation of motion for the reduced density operator, and numerical simulations reveal distinctive dynamical behaviors that deviate markedly from those predicted by the conventional Caldeira-Leggett model. △ Less

Submitted 28 October, 2025; originally announced October 2025.

Comments: 3 pages, 4 figures

An exact Error Threshold of Surface Code under Correlated Nearest-Neighbor Errors: A Statistical Mechanical Analysis

Authors: SiYing Wang, ZhiXin Xia, Yue Yan, Xiang-Bin Wang

Abstract: The surface code represents a promising candidate for fault-tolerant quantum computation due to its high error threshold and experimental accessibility with nearest-neighbor interactions. However, current exact surface code threshold analyses are based on the assumption of independent and identically distributed (i.i.d.) errors. Though there are numerical studieds for threshold with correlated err… ▽ More The surface code represents a promising candidate for fault-tolerant quantum computation due to its high error threshold and experimental accessibility with nearest-neighbor interactions. However, current exact surface code threshold analyses are based on the assumption of independent and identically distributed (i.i.d.) errors. Though there are numerical studieds for threshold with correlated error, they are only the lower bond ranther than exact value, this offers potential for higher error thresholds.Here, we establish an error-edge map, which allows for the mapping of quantum error correction to a square-octagonal random bond Ising model. We then present the exact threshold under a realistic noise model that combines independent single-qubit errors with correlated errors between nearest-neighbor data qubits. Our method is applicable for any ratio of nearest-neighbor correlated errors to i.i.d. errors. We investigate the error correction threshold of surface codes and we present analytical constraints giving exact value of error threshold. This means that our error threshold is both upper bound and achievable and hence on the one hand the existing numerical threshold values can all be improved to our threshold value, on the other hand, our threshold value is highest achievable value in principle. △ Less

Submitted 28 October, 2025; originally announced October 2025.

Robust Non-Adiabatic Holonomic Gating in Qutrits via Inverse-Engineered Pulse Shaping and Error Compensation

Authors: Jie Lu, Jie-Dong Huang, Yang Qian, Ying Yan, Zhi-Guo Huang, Ji-Ze Han

Abstract: Systematic control errors, specifically Rabi frequency fluctuations and frequency detuning, constitute a primary bottleneck for high-fidelity quantum gates across leading platforms. In this work, we present a robust pulse engineering framework for non-adiabatic holonomic quantum computing (NHQC) in qutrit systems, combining inverse engineering with time-dependent perturbation theory. We derive ana… ▽ More Systematic control errors, specifically Rabi frequency fluctuations and frequency detuning, constitute a primary bottleneck for high-fidelity quantum gates across leading platforms. In this work, we present a robust pulse engineering framework for non-adiabatic holonomic quantum computing (NHQC) in qutrit systems, combining inverse engineering with time-dependent perturbation theory. We derive analytical conditions for pulse shaping that intrinsically eliminate second-order Rabi errors. Furthermore, our analysis reveals that second-order detuning errors are fundamentally linked to the accumulated population in the auxiliary excited state, making them impossible to eliminate in a single loop. To overcome this, we introduce a compensation pulse strategy that rigorously cancels these residual errors. Although this composite scheme doubles the gate duration, we demonstrate that the suppression of systematic errors yields a significant net gain in fidelity, achieving values exceeding 99.9% under realistic experimental imperfections ($ε=0.2$, $δ=2~\text{MHz}$). This framework provides a rigorous and experimentally feasible pathway for high-fidelity quantum control in superconducting circuits, trapped ions, and neutral atom systems. △ Less

Submitted 23 December, 2025; v1 submitted 7 October, 2025; originally announced October 2025.

Comments: 14 pages, 8 figures

Few is different: deciphering many-body dynamics in mesoscopic quantum gases

Authors: Juergen Berges, Sandra Brandstetter, Jasmine Brewer, Georg Bruun, Tilman Enss, Stefan Floerchinger, Keisuke Fujii, Maciej Galka, Giuliano Giacalone, Qingze Guan, Carl Heintze, Lars H. Heyen, Ilya Selyuzhenkov, Selim Jochim, Jesper Levinsen, Philipp Lunt, Silvia Masciocchi, Aleksas Mazeliauskas, Nir Navon, Alice Ohlson, Meera Parish, Stephanie M. Reimann, Francesco Scazza, Thomas Schaefer, Derek Teaney , et al. (5 additional authors not shown)

Abstract: Emergent macroscopic descriptions of matter, such as hydrodynamics, are central to our description of complex physical systems across a wide spectrum of energy scales. The conventional understanding of these many-body phenomena has recently been shaken by a number of experimental findings. Collective behavior of matter has been observed in \emph{mesoscopic} systems, such as high-energy hadron-hadr… ▽ More Emergent macroscopic descriptions of matter, such as hydrodynamics, are central to our description of complex physical systems across a wide spectrum of energy scales. The conventional understanding of these many-body phenomena has recently been shaken by a number of experimental findings. Collective behavior of matter has been observed in \emph{mesoscopic} systems, such as high-energy hadron-hadron collisions, or ultra-cold gases with only few strongly interacting fermions. In such systems, the separation of scales between macroscopic and microscopic dynamics (at the heart of any effective theory) is inapplicable. To address the conceptual challenges that arise from these observations and explore the universality of emergent descriptions of matter, the EMMI Rapid Reaction Task Force was assembled. This document summarizes the RRTF discussions on recent theoretical and experimental advances in this rapidly developing field. Leveraging technological breakthroughs in the control of quantum systems, we can now quantitatively explore what it means for a system to exhibit behavior beyond the sum of its individual parts. In particular, the report highlights how the (in)applicability of hydrodynamics and other effective theories can be probed across three principal frontiers: the size frontier, the equilibrium frontier, and the interaction frontier. △ Less

Submitted 5 September, 2025; originally announced September 2025.

Comments: 65 pages, 12 figures, summary report of EMMI Rapid Reaction Task Force Workshop, March 18-21,2024, see https://indico.gsi.de/event/19234/

Machine-Learning-Assisted Pulse Design for State Preparation in a Noisy Environment

Authors: Zhao-Wei Wang, Hong-Yang Ma, Yun-An Yan, Lian-Ao Wu, Zhao-Ming Wang

Abstract: High-precision quantum control is essential for quantum computing and quantum information processing. However, its practical implementation is challenged by environmental noise, which affects the stability and accuracy of quantum systems. In this paper, using machine learning techniques we propose a quantum control approach that incorporates environmental factors into the design of control schemes… ▽ More High-precision quantum control is essential for quantum computing and quantum information processing. However, its practical implementation is challenged by environmental noise, which affects the stability and accuracy of quantum systems. In this paper, using machine learning techniques we propose a quantum control approach that incorporates environmental factors into the design of control schemes, improving the control fidelity in noisy environments. Specifically, we investigate arbitrary quantum state preparation in a two-level system coupled to a bosonic bath. We use both Deep Reinforcement Learning (DRL) and Supervised Learning (SL) algorithms to design specific control pulses that mitigate the noise. These two neural network (NN) based algorithm both have the advantage that the well trained NN can output the optimal pulse sequence for any environmental parameters. Comparing the performance of these two algorithms, our results show that DRL is more effective in low-noise environments due to its strong optimization capabilities, while SL provides greater stability and performs better in high-noise conditions. These findings highlight the potential of machine learning techniques to enhance the quantum control fidelity in practical applications. △ Less

Submitted 27 August, 2025; originally announced August 2025.

Chip-Scale Rydberg Atomic Electrometer

Authors: Ren-Hao Xing, Ming-Yong Jing, Yue-Xiao Yan, Mu Xiang, Qing-Yi Meng, Shan Zhong, Hong-Hua Fang, Hong-Bo Sun

Abstract: An ideal electrometer should measure electric fields accurately while causing minimal disturbance to the field itself. Rydberg atomic electrometers are promising candidates for ideal electrometry due to their SI traceability and non-invasive nature. However, in practice, the atomic vapor cell shell can distort the electric field, limiting the device's performance. In this work, we overcome this ch… ▽ More An ideal electrometer should measure electric fields accurately while causing minimal disturbance to the field itself. Rydberg atomic electrometers are promising candidates for ideal electrometry due to their SI traceability and non-invasive nature. However, in practice, the atomic vapor cell shell can distort the electric field, limiting the device's performance. In this work, we overcome this challenge by fabricating a chip-scale vapor cell using a novel combination of femtosecond laser writing and optical contact. This method enables the development of a non-invasive atomic electrometer with a radar cross-section (RCS) 20 dB lower than that of commercial atomic cell-based electrometers. Furthermore, we observe a new sub-Doppler spectral narrowing phenomenon in these chip-scale cells. The effect originates from an incoherent, collision-driven mechanism--hereafter referred to as incoherent Dicke narrowing (ICDN). This advancement supports future revisions to the international system of units and broadens applications in metrology and quantum measurement. △ Less

Submitted 25 August, 2025; originally announced August 2025.

Resonant dynamics of spin cluster in a periodically driven one-dimensional Rydberg lattice

Authors: Jin-Qiu Xiong, Yu-Hong Yan, Xun-Da Jiang, Yong-Yao Li, Kun-Liang Zhang

Abstract: Rydberg lattice under facilitation conditions can feature kinetic constraints, leading to ballistic and nonergodic behavior at different detuning intensities. Here, we demonstrate that a resonant driving field can achieve effects similar to those under facilitation conditions. We focus on the relaxation dynamics of spin clusters in a periodically driven Rydberg spin lattice. Through an effective H… ▽ More Rydberg lattice under facilitation conditions can feature kinetic constraints, leading to ballistic and nonergodic behavior at different detuning intensities. Here, we demonstrate that a resonant driving field can achieve effects similar to those under facilitation conditions. We focus on the relaxation dynamics of spin clusters in a periodically driven Rydberg spin lattice. Through an effective Hamiltonian for the domain walls of the spin cluster, it is shown that when the driving frequency is resonant with the Rydberg interaction, the spin cluster exhibits ballistic expansion with half the spreading rate compared to the case of facilitation conditions. However, near the resonant point, the spin cluster displays confinement behavior of the Bloch-like oscillations. These results demonstrate the rich dynamic behaviors in the driven Rydberg spin lattices and may find applications in quantum state manipulation. △ Less

Submitted 2 December, 2025; v1 submitted 17 August, 2025; originally announced August 2025.

Comments: 11 pages, 6 figures

Journal ref: Phys. Rev. B 112, 224303 (2025)

Observation and Modulation of the Quantum Mpemba Effect on a Superconducting Quantum Processor

Authors: Yueshan Xu, Cai-Ping Fang, Bing-Jie Chen, Ming-Chuan Wang, Zi-Yong Ge, Yun-Hao Shi, Yu Liu, Cheng-Lin Deng, Kui Zhao, Zheng-He Liu, Tian-Ming Li, Hao Li, Ziting Wang, Gui-Han Liang, Da'er Feng, Xueyi Guo, Xu-Yang Gu, Yang He, Hao-Tian Liu, Zheng-Yang Mei, Yongxi Xiao, Yu Yan, Yi-Han Yu, Wei-Ping Yuan, Jia-Chi Zhang , et al. (11 additional authors not shown)

Abstract: In non-equilibrium quantum many-body systems, the quantum Mpemba effect (QME) emerges as a counterintuitive phenomenon: systems exhibiting greater initial symmetry breaking restore symmetry faster than those with less. While theoretical exploration of QME has surged, experimental studies on its multidimensional modulation remain limited. Here, we report the observation and control of QME using a s… ▽ More In non-equilibrium quantum many-body systems, the quantum Mpemba effect (QME) emerges as a counterintuitive phenomenon: systems exhibiting greater initial symmetry breaking restore symmetry faster than those with less. While theoretical exploration of QME has surged, experimental studies on its multidimensional modulation remain limited. Here, we report the observation and control of QME using a superconducting processor featuring a unique fully connected, tunable-coupling architecture that enables precise modulation from short- to long-range interactions. This platform allows independent manipulation of coupling regimes, on-site potentials, and initial states, elucidating their roles in QME. To quantify symmetry restoration, we employ entanglement asymmetry (EA) -- the relative entropy between a subsystem reduced density matrix and its symmetric projection -- as a sensitive probe of symmetry breaking. In strong short-range coupling regimes, EA crossovers during quenches from tilted Néel states confirm the presence of QME. In contrast, in intermediate coupling regimes, synchronized EA and entanglement entropy dynamics reveal the suppression of QME. Remarkably, QME reemerges with the introduction of on-site linear potentials or quenches from tilted ferromagnetic states, the latter proving robust against on-site disorder. Our study provides the first demonstration of flexible QME modulation on a superconducting platform with multiple controllable parameters, shedding light on quantum many-body non-equilibrium dynamics and opening avenues for quantum information applications. △ Less

Submitted 11 August, 2025; originally announced August 2025.

Flexible Readout and Unconditional Reset for Superconducting Multi-Qubit Processors with Tunable Purcell Filters

Authors: Yong-Xi Xiao, Da'er Feng, Xu-Yang Gu, Gui-Han Liang, Ming-Chuan Wang, Zheng-Yu Peng, Bing-Jie Chen, Yu Yan, Zheng-Yang Mei, Si-Lu Zhao, Yi-Zhou Bu, Cheng-Lin Deng, Kai Yang, Ye Tian, Xiaohui Song, Dongning Zheng, Yu-Xiang Zhang, Yun-Hao Shi, Zhongcheng Xiang, Kai Xu, Heng Fan

Abstract: Achieving high-fidelity qubit readout and reset while preserving qubit coherence is essential for quantum error correction and other advanced quantum algorithms. Here, we design and experimentally demonstrate a scalable architecture employing frequency-tunable nonlinear Purcell filters, enabling flexible readout and fast unconditional reset of multiple superconducting qubits. Our readout protocol… ▽ More Achieving high-fidelity qubit readout and reset while preserving qubit coherence is essential for quantum error correction and other advanced quantum algorithms. Here, we design and experimentally demonstrate a scalable architecture employing frequency-tunable nonlinear Purcell filters, enabling flexible readout and fast unconditional reset of multiple superconducting qubits. Our readout protocol dynamically adjusts the effective linewidth of the readout resonator through a tunable Purcell filter, optimizing the signal-to-noise ratio during measurement while suppressing photon noise during idle periods. We achieve a readout fidelity of $99.3\%$ without any quantum-limited amplifier, even with a small dispersive shift. Moreover, by leveraging a reset channel formed via the adjacent coupling between the filter and the coupler, we realize unconditional qubit reset of both leakage-induced $|2\rangle$ and $|1\rangle$ states within 200 ns and reset of the $|1\rangle$ state alone within 75 ns, with error rates $\leq 1\%$. The filter also mitigates both photon-induced dephasing and the Purcell effect, thereby preserving qubit coherence. This scalable Purcell filter architecture shows exceptional performance in qubit readout, reset, and protection, marking it as a promising hardware component for advancing fault-tolerant quantum computing systems. △ Less

Submitted 17 July, 2025; v1 submitted 9 July, 2025; originally announced July 2025.

Engineering a Multi-Mode Purcell Filter for Superconducting-Qubit Reset and Readout with Intrinsic Purcell Protection

Authors: Xu-Yang Gu, Da'er Feng, Zhen-Yu Peng, Gui-Han Liang, Yang He, Yongxi Xiao, Ming-Chuan Wang, Yu Yan, Bing-Jie Chen, Zheng-Yang Mei, Yi-Zhou Bu, Jia-Chi Zhang, Jia-Cheng Song, Cheng-Lin Deng, Xiaohui Song, Dongning Zheng, Kai Xu, Zhongcheng Xiang, Heng Fan

Abstract: Efficient qubit reset and leakage reduction are essential for scalable superconducting quantum computing, particularly in the context of quantum error correction. However, such operations often require additional on-chip components. Here, we propose and experimentally demonstrate a mode-efficient approach to qubit reset and readout using a multi-mode Purcell filter in a superconducting quantum cir… ▽ More Efficient qubit reset and leakage reduction are essential for scalable superconducting quantum computing, particularly in the context of quantum error correction. However, such operations often require additional on-chip components. Here, we propose and experimentally demonstrate a mode-efficient approach to qubit reset and readout using a multi-mode Purcell filter in a superconducting quantum circuit. We exploit the inherent multi-mode structure of a coplanar waveguide resonator, using its fundamental and second-order modes for qubit reset and readout, respectively, thereby avoiding additional circuit elements. Implemented in a flip-chip architecture, our device achieves unconditional reset with residual excitation below 1% in 220 ns, and a leakage reduction unit that selectively resets the second excited state within 62 ns. Simulations predict Purcell-limited relaxation times exceeding 1 ms over an 800 MHz bandwidth. To our knowledge, this is the first experimental trial that exploits different-order modes of a microwave resonator for distinct qubit operations, representing a new direction toward scalable, mode-efficient quantum processor design. △ Less

Submitted 7 July, 2025; originally announced July 2025.

Node Replacement based Approximate Quantum Simulation with Decision Diagrams

Authors: Yexin Yan, Stefan Hillmich, Robert Wille, Christian Mayr

Abstract: Simulating a quantum circuit with a classical computer requires exponentially growing resources. Decision diagrams exploit the redundancies in quantum circuit representation to efficiently represent and simulate quantum circuits. But for complicated quantum circuits like the quantum supremacy benchmark, there is almost no redundancy to exploit. Therefore, it often makes sense to do a trade-off bet… ▽ More Simulating a quantum circuit with a classical computer requires exponentially growing resources. Decision diagrams exploit the redundancies in quantum circuit representation to efficiently represent and simulate quantum circuits. But for complicated quantum circuits like the quantum supremacy benchmark, there is almost no redundancy to exploit. Therefore, it often makes sense to do a trade-off between simulation accuracy and memory requirement. Previous work on approximate simulation with decision diagrams exploits this trade-off by removing less important nodes. In this work, instead of removing these nodes, we try to find similar nodes to replace them, effectively slowing down the fidelity loss when reducing the memory. In addition, we adopt Locality Sensitive Hashing (LSH) to drastically reduce the computational complexity for searching for replacement nodes. Our new approach achieves a better memory-accuracy trade-off for representing a quantum circuit with decision diagrams with minimal run time overhead. Notably, our approach shows good scaling properties when increasing the circuit size and depth. For the first time, a strong better-than-linear trade-off between memory and fidelity is demonstrated for a decision diagram based quantum simulation when representing the quantum supremacy benchmark circuits at high circuit depths, showing the potential of drastically reducing the resource requirement for approximate simulation of the quantum supremacy benchmarks on a classical computer. △ Less

Submitted 6 July, 2025; originally announced July 2025.

Symmetry in Multi-Qubit Correlated Noise Errors Enhances Surface Code Thresholds

Authors: SiYing Wang, Yue Yan, ZhiXin Xia, Xiang-Bin Wang

Abstract: Surface codes are promising for practical quantum error correction due to their high threshold and experimental feasibility. However, their performance under realistic noise conditions, particularly those involving correlated errors, requires further investigation. In this study, we investigate the impact of correlated errors on the error threshold. In particular, we focus on several distinct type… ▽ More Surface codes are promising for practical quantum error correction due to their high threshold and experimental feasibility. However, their performance under realistic noise conditions, particularly those involving correlated errors, requires further investigation. In this study, we investigate the impact of correlated errors on the error threshold. In particular, we focus on several distinct types of correlated errors that could potentially arise from next-nearest-neighbor (NNN) coupling in quantum systems. We present the analytical threshold of the surface code under these types of correlated noise, and find that errors correlated along straight lines possess a type of crucial symmetry, resulting in higher thresholds compared to other types of correlated errors. This deepens our insight into the threshold of surface code and hence facilitates a more robust design of quantum circuits with a higher noise threshold. △ Less

Submitted 18 June, 2025; originally announced June 2025.

Two-body Dissipator Engineering: Environment-Induced Quantum Synchronization Transitions

Authors: Xingli Li, Yan Li, Yangqian Yan

Abstract: Metronome synchronization and the transition between the in-phase and anti-phase synchronization have been observed in classical systems. We demonstrate the quantum analog of this phenomenon in a two-qubit system coupled to a common environment. Tracing out the environment in the quantum collision model, we obtain an effective master equation with a two-body dissipator for two qubits. Quenching th… ▽ More Metronome synchronization and the transition between the in-phase and anti-phase synchronization have been observed in classical systems. We demonstrate the quantum analog of this phenomenon in a two-qubit system coupled to a common environment. Tracing out the environment in the quantum collision model, we obtain an effective master equation with a two-body dissipator for two qubits. Quenching the two-body dissipator, we demonstrate controlled transitions from in-phase to anti-phase synchronization. This synchronization transition is robust against noise. Signatures of the transition are observed through Pearson correlation coefficient measurements obtained via quantum simulations on superconducting circuits. Future experiments employing qutrit systems are expected to yield a more pronounced effect. △ Less

Submitted 9 June, 2025; originally announced June 2025.

Comments: 7 pages, 5 figures, Supplemental material

Dynamical multipartite entanglement in a generalized Tavis-Cummings model with XY spin interaction

Authors: Yuguo Su, Zhijie Sun, Yiying Yan, Hengyan Wang, Junyan Luo, Tiantian Ying, Hongbin Liang, Yi-Xiao Huang

Abstract: Multipartite entanglement is a long-term pursuit in the resource theory, offering a potential resource for quantum metrology. Here, we present the dynamical multipartite entanglement, which is in terms of the quantum Fisher information, of a generalized Tavis-Cummings (TC) model introducing the XY spin interaction. Since our model cannot be solved exactly, we theoretically derive and numerically e… ▽ More Multipartite entanglement is a long-term pursuit in the resource theory, offering a potential resource for quantum metrology. Here, we present the dynamical multipartite entanglement, which is in terms of the quantum Fisher information, of a generalized Tavis-Cummings (TC) model introducing the XY spin interaction. Since our model cannot be solved exactly, we theoretically derive and numerically examine the effective description of our model. By the Holstein-Primakoff transformation, we show the bridge from the generalized TC model to the central spin model. Furthermore, the reduced density matrix of the central spins is presented, which is the prerequisite for calculating multipartite entanglement. We also discuss the effect of the temperature, the coupling constant, and the magnetic field on the dynamical multipartite entanglement in the central spin model, where the central spin is initially unentangled. Strong coupling and low temperature are necessary conditions for a genuine multipartite entanglement in the XY model, and together with the magnetic field, they govern the modulation of both the entanglement period and amplitude. Our results unveil the deep link between the TC model and the central spin model, allowing for a better comprehension of their dynamical multipartite entanglement. △ Less

Submitted 9 May, 2025; originally announced May 2025.

Comments: arXiv admin note: text overlap with arXiv:2307.16166

Journal ref: Phys. Rev. A 111, 052415 (2025)

Prethermalization by Random Multipolar Driving on a 78-Qubit Superconducting Processor

Authors: Zheng-He Liu, Yu Liu, Gui-Han Liang, Cheng-Lin Deng, Keyang Chen, Yun-Hao Shi, Tian-Ming Li, Lv Zhang, Bing-Jie Chen, Cai-Ping Fang, Da'er Feng, Xu-Yang Gu, Yang He, Kaixuan Huang, Hao Li, Hao-Tian Liu, Li Li, Zheng-Yang Mei, Zhen-Yu Peng, Jia-Cheng Song, Ming-Chuan Wang, Shuai-Li Wang, Ziting Wang, Yongxi Xiao, Minke Xu , et al. (21 additional authors not shown)

Abstract: Time-dependent drives hold the promise of realizing non-equilibrium many-body phenomena that are absent in undriven systems. Yet, drive-induced heating normally destabilizes the systems, which can be parametrically suppressed in the high-frequency regime by using periodic (Floquet) drives. It remains largely unknown to what extent highly controllable quantum simulators can suppress heating in non-… ▽ More Time-dependent drives hold the promise of realizing non-equilibrium many-body phenomena that are absent in undriven systems. Yet, drive-induced heating normally destabilizes the systems, which can be parametrically suppressed in the high-frequency regime by using periodic (Floquet) drives. It remains largely unknown to what extent highly controllable quantum simulators can suppress heating in non-periodically driven systems. Using the 78-qubit superconducting quantum processor, Chuang-tzu 2.0, we report the experimental observation of long-lived prethermal phases in many-body systems with tunable heating rates, driven by structured random protocols, characterized by $n$-multipolar temporal correlations. By measuring both the particle imbalance and subsystem entanglement entropy, we monitor the entire heating process over 1,000 driving cycles and observe the existence of the prethermal plateau. The prethermal lifetime is `doubly tunable': one way by driving frequency, the other by multipolar order; it grows algebraically with the frequency with the universal scaling exponent $2n{+}1$. Using quantum state tomography on different subsystems, we demonstrate a non-uniform spatial entanglement distribution and observe a crossover from area-law to volume-law entanglement scaling. With 78 qubits and 137 couplers in a 2D configuration, the entire far-from-equilibrium heating dynamics are beyond the reach of simulation using tensor-network numerical techniques. Our work highlights superconducting quantum processors as a powerful platform for exploring universal scaling laws and non-equilibrium phases of matter in driven systems in regimes where classical simulation faces formidable challenges. △ Less

Submitted 1 April, 2025; v1 submitted 27 March, 2025; originally announced March 2025.

Probing the hollowing transition of a shell-shaped BEC with collective excitation

Authors: Zerong Huang, Kai Yuen Lee, Chun Kit Wong, Liyuan Qiu, Bo Yang, Yangqian Yan, Dajun Wang

Abstract: We investigate the hollowing transition of a shell-shaped Bose-Einstein condensate using collective excitations. The shell is created using an immiscible dual-species BEC mixture, with its hollowness controlled by tuning the repulsive interspecies interaction via a Feshbach resonance. Our results reveal two distinct monopole modes in which the two condensates oscillate either in-phase or out-of-ph… ▽ More We investigate the hollowing transition of a shell-shaped Bose-Einstein condensate using collective excitations. The shell is created using an immiscible dual-species BEC mixture, with its hollowness controlled by tuning the repulsive interspecies interaction via a Feshbach resonance. Our results reveal two distinct monopole modes in which the two condensates oscillate either in-phase or out-of-phase. The spectrum of the out-of-phase mode exhibits a non-monotonic dependence on the interspecies interaction, providing a clear signature of the topology change from a filled to a hollow condensate. Furthermore, we find that the critical point of the hollowing transition depends strongly on the number ratio of the two species. Our findings provide a detailed understanding of the topology change in shell-shaped quantum gases and pave the way for future study of quantum many-body phenomena in curved spaces. △ Less

Submitted 15 March, 2025; originally announced March 2025.

Anomalous current-electric field characteristics in transport through a nanoelectromechanical systems

Authors: Chengjie Wu, Yi Ding, Yiying Yan, Yuguo Su, Elijah Omollo Ayieta, Slobodan Radošević, Georg Engelhardt, Gernot Schaller, JunYan Luo

Abstract: A deep understanding of the correlation between electronic and mechanical degrees of freedom is crucial to the development of quantum devices in a nanoelectromechanical system (NEMS). In this work, we first establish a fully quantum mechanical approach for transport through a NEMS device, which is valid for arbitrary bias voltages, temperatures, and electro-mechanical couplings. We find an anomalo… ▽ More A deep understanding of the correlation between electronic and mechanical degrees of freedom is crucial to the development of quantum devices in a nanoelectromechanical system (NEMS). In this work, we first establish a fully quantum mechanical approach for transport through a NEMS device, which is valid for arbitrary bias voltages, temperatures, and electro-mechanical couplings. We find an anomalous current-electric field characteristics at a low bias, where the current decreases with a rising electric field, associated with the backward tunneling of electrons for a weak mechanical damping. We reveal that this intriguing behavior arises from a combined effect of mechanical motion and Coulomb blockade, where the rapid increase of backward tunneling events at a large oscillation amplitude suppresses the forward current due to prohibition of double occupation. In the opposite limit of strong damping, the oscillator dissipates its energy to the environment and relaxes to the ground state rapidly. Electrons then transport via the lowest vibrational state such that the net current and its corresponding noise have a vanishing dependence on the electric field. △ Less

Submitted 13 May, 2025; v1 submitted 15 March, 2025; originally announced March 2025.

Correlated vibration-solvent and Duschinsky effects on electron transfer dynamics and optical spectroscopy

Authors: Zi-Fan Zhu, Yu Su, Yao Wang, Rui-Xue Xu, YiJing Yan

Abstract: Understanding the effects of vibrations in electron transfer (ET) dynamics and optical spectroscopies is essential to precisely interpret the role of decoherence, especially for systems embedded in solvents. In this work, we study the correlated Duschinsky and solvent effects on ET and spectroscopy. Exploited is a novel extended dissipaton-equation-of motion (ext-DEOM) approach, which is an exact… ▽ More Understanding the effects of vibrations in electron transfer (ET) dynamics and optical spectroscopies is essential to precisely interpret the role of decoherence, especially for systems embedded in solvents. In this work, we study the correlated Duschinsky and solvent effects on ET and spectroscopy. Exploited is a novel extended dissipaton-equation-of motion (ext-DEOM) approach, which is an exact and non-Markovian, non-perturbative method for quadratic system-bath couplings. The unified bath description, in terms of multiple Brownian oscillators (BOs), comprises the solvent modes and also intramolecular vibrations. Both ET dynamics and spectroscopy show the complex interplay among linear displacements, frequency shifts, Duschinsky rotations and solvent-induced BO-mode correlations. The reduced ET system density operator evolution is further analyzed in the context of Bloch sphere representation that is basis-set independent due to its geometric nature. △ Less

Submitted 7 May, 2025; v1 submitted 9 March, 2025; originally announced March 2025.

Comments: 10 pages, 8 figures

Journal ref: J. Chem. Phys. 162, 234103 (2025)

Geometric origin of self-intersection points in non-Hermitian energy spectra

Authors: Jinghui Pi, Chenyang Wang, Yong-Chun Liu, Yangqian Yan

Abstract: Unlike Hermitian systems, non-Hermitian energy spectra under periodic boundary conditions can form closed loops in the complex energy plane, a phenomenon known as point gap topology. In this paper, we investigate the self-intersection points of such non-Hermitian energy spectra and reveal their geometric origins. We rigorously demonstrate that these self-intersection points result from the interse… ▽ More Unlike Hermitian systems, non-Hermitian energy spectra under periodic boundary conditions can form closed loops in the complex energy plane, a phenomenon known as point gap topology. In this paper, we investigate the self-intersection points of such non-Hermitian energy spectra and reveal their geometric origins. We rigorously demonstrate that these self-intersection points result from the intersection of the auxiliary generalized Brillouin zone and the Brillouin zone in one-band systems, as confirmed by an extended Hatano-Nelson model. This finding is further generalized to multi-band systems, illustrated through a non-Hermitian Su-Schrieffer-Heeger model. Moreover, we address multiple self-intersection points and derive the geometric conditions for general n-fold self-intersection points. Our results enhance the fundamental understanding of generic non-Hermitian quantum systems and provide theoretical support for further experimental investigations of energy self-intersection points. △ Less

Submitted 9 April, 2025; v1 submitted 7 February, 2025; originally announced February 2025.

Comments: 11 pages, 5 figures

Journal ref: Phys. Rev. B 111, 165407 (2025)

Hamiltonian non-Hermicity: accurate dynamics with the multiple Davydov D$_2$ Ansätze

Authors: L. Zhang, K. Shen, Y. Yan, K. Sun, M. F. Gelin, Y. Zhao

Abstract: We examine the applicability of the numerically accurate method of time dependent variation with multiple Davydov Ansatze (mDA) to non-Hermitian systems. Three systems of interest includes: a non-Hermitian system of dissipative Landau-Zener transitions, a non-Hermitian, multimode Jaynes-Cummings model, and a dissipative Holstein-Tavis-Cummings model, where complex many-body dynamics are accurately… ▽ More We examine the applicability of the numerically accurate method of time dependent variation with multiple Davydov Ansatze (mDA) to non-Hermitian systems. Three systems of interest includes: a non-Hermitian system of dissipative Landau-Zener transitions, a non-Hermitian, multimode Jaynes-Cummings model, and a dissipative Holstein-Tavis-Cummings model, where complex many-body dynamics are accurately captured by the mDA method. Our findings highlight the versatility of the mDA as a powerful numerical tool for investigating complex many-body non-Hermitian systems, which can be extended to explore diverse phenomena such as skin effects, excited-state dynamics, and spectral topology in the non-Hermitian field. △ Less

Submitted 1 November, 2024; v1 submitted 16 October, 2024; originally announced October 2024.

Comments: 8 pages, 5 figures

Variational LOCC-assisted quantum circuits for long-range entangled states

Authors: Yuxuan Yan, Muzhou Ma, You Zhou, Xiongfeng Ma

Abstract: Long-range entanglement is an important quantum resource, particularly for topological orders and quantum error correction. In reality, preparing long-range entangled states requires a deep unitary circuit, which poses significant experimental challenges. A promising avenue is offered by replacing some quantum resources with local operations and classical communication (LOCC). With these classical… ▽ More Long-range entanglement is an important quantum resource, particularly for topological orders and quantum error correction. In reality, preparing long-range entangled states requires a deep unitary circuit, which poses significant experimental challenges. A promising avenue is offered by replacing some quantum resources with local operations and classical communication (LOCC). With these classical components, one can communicate outcomes of midcircuit measurements in distant subsystems, substantially reducing circuit depth in many important cases. However, to prepare general long-range entangled states, finding LOCC-assisted circuits of a short depth remains an open question. Here, to address this challenge, we propose a quantum-classical hybrid algorithm to find optimal LOCC protocols for preparing ground states of given Hamiltonians. In our algorithm, we introduce an efficient way to estimate parameter gradients and use such gradients for variational optimization. Theoretically, we establish the conditions for the absence of barren plateaus, ensuring trainability at a large system size. Numerically, the algorithm accurately solves the ground state of long-range entangled models, such as the perturbed Greenberger-Horne-Zeilinger state and surface code. Our results demonstrate the advantage of our method over conventional unitary variational circuits: the practical advantage in the accuracy of estimated ground-state energy and the theoretical advantage in creating long-range entanglement. △ Less

Submitted 15 May, 2025; v1 submitted 11 September, 2024; originally announced September 2024.

Comments: 23 pages, 16 figures, and 5 tables

Journal ref: Phys. Rev. Lett. 134, 170601 (2025)

Tailoring the light-matter interaction for high-fidelity holonomic gate operations in multiple systems

Authors: Zhihuang Kang, Shutong Wu, Kunji Han, Jiamin Qiu, Joel Moser, Jie Lu, Ying Yan

Abstract: Realization of quantum computing requires the development of high-fidelity quantum gates that are resilient to decoherence, control errors, and environmental noise. While non-adiabatic holonomic quantum computation (NHQC) offers a promising approach, it often necessitates system-specific adjustments. This work presents a versatile scheme for implementing NHQC gates across multiple qubit systems by… ▽ More Realization of quantum computing requires the development of high-fidelity quantum gates that are resilient to decoherence, control errors, and environmental noise. While non-adiabatic holonomic quantum computation (NHQC) offers a promising approach, it often necessitates system-specific adjustments. This work presents a versatile scheme for implementing NHQC gates across multiple qubit systems by optimizing multiple degrees of freedom using a genetic algorithm. The scheme is applied to three qubit systems: ensemble rare-earth ion (REI) qubits, single REI qubits, and superconducting transmon qubits. Numerical simulations demonstrate that the optimized gate operations are robust against frequency detuning and induce low off-resonant excitations, making the scheme effective for advancing fault-tolerant quantum computation across various platforms. △ Less

Submitted 3 December, 2024; v1 submitted 10 September, 2024; originally announced September 2024.

Comments: 23 pages, 12 figures, Journal of the Optical Society of America B

Super-bunching light with giant high-order correlations and extreme multi-photon events

Authors: Chengbing Qin, Yuanyuan Li, Yu Yan, Jiamin Li, Xiangdong Li, Yunrui Song, Xuedong Zhang, Shuangping Han, Zihua Liu, Yanqiang Guo, Guofeng Zhang, Ruiyun Chen, Jianyong Hu, Zhichun Yang, Xinhui Liu, Liantuan Xiao, Suotang Jia

Abstract: Non-classical light sources emitting bundles of N-photons with strong correlation represent versatile resources of interdisciplinary importance with applications ranging from fundamental tests of quantum mechanics to quantum information processing. Yet, high-order correlations, gN(0),quantifying photon correlation, are still limited to hundreds. Here, we report the generation of a super-bunching l… ▽ More Non-classical light sources emitting bundles of N-photons with strong correlation represent versatile resources of interdisciplinary importance with applications ranging from fundamental tests of quantum mechanics to quantum information processing. Yet, high-order correlations, gN(0),quantifying photon correlation, are still limited to hundreds. Here, we report the generation of a super-bunching light source in photonic crystal fiber with g2(0) reaching 5.86*104 and g5(0) up to 2.72*108, through measuring its photon number probability distributions. under giant g2(0) values, the super-bunching light source presents upturned-tail photon distributions and ubiquitous extreme multi-photon events, where 31 photons from a single light pulse at a mean of 1.99*10-4 photons per pulse have been determined. The probability of this extreme event has been enhanced by 10139 folds compared to a coherent laser with Poissonian distribution. By varying the power of the pumping laser, both photon number distributions and corresponding high-order correlations of this light source can be substantially tailored from Poissonian to super-bunching distributions. These phenomena are attributed to the synchronized nonlinear interactions in photonic crystal fibers pumping by bright squeezed light, and the theoretical simulations agree well with the experimental results. Our research showcases the ability to achieve non-classical light sources with giant high-order correlations and extreme multi-photon events, paving the way for high-order correlation imaging, extreme nonlinear optical effects, quantum information processing, and exploring light-matter interactions with multi-photon physics. △ Less

Submitted 12 May, 2025; v1 submitted 9 September, 2024; originally announced September 2024.

Thermodynamics of Spin-Imbalanced Fermi Gases with SU(N) Symmetric Interaction

Authors: Chengdong He, Xin-Yuan Gao, Ka Kwan Pak, Yu-Jun Liu, Peng Ren, Mengbo Guo, Entong Zhao, Yangqian Yan, Gyu-Boong Jo

Abstract: Thermodynamics of degenerate Fermi gases has been extensively studied through various aspects such as Pauli blocking effects, collective modes, BCS superfluidity, and more. Despite this, multi-component fermions with imbalanced spin configurations remain largely unexplored, particularly beyond the two-component scenario. In this work, we generalize the thermodynamic study of SU($N$) fermions to sp… ▽ More Thermodynamics of degenerate Fermi gases has been extensively studied through various aspects such as Pauli blocking effects, collective modes, BCS superfluidity, and more. Despite this, multi-component fermions with imbalanced spin configurations remain largely unexplored, particularly beyond the two-component scenario. In this work, we generalize the thermodynamic study of SU($N$) fermions to spin-imbalanced configurations based on density fluctuations. Theoretically, we provide closed-form expressions of density fluctuation across all temperature ranges for general spin population setups. Experimentally, after calibrating the measurements with deeply degenerate $^{173}$Yb Fermi gases under spin-balanced configurations ($N\leq$~6), we examine the density fluctuations in spin-imbalanced systems. Specifically, we investigate two-species and four-species configurations to validate our theoretical predictions. Our analysis indicates that interaction enhancement effects can be significant even in highly spin-imbalanced systems. Finally, as an application, we use this approach to examine the decoherence process. Our study provides a deeper understanding of the thermodynamic features of spin-imbalanced multi-component Fermi gases and opens new avenues for exploring complex quantum many-body systems. △ Less

Submitted 7 September, 2024; originally announced September 2024.

Comments: 6 pages, 4 figures, supplementary

Expectation value estimation with parametrized quantum circuits

Authors: Bujiao Wu, Lingyu Kong, Yuxuan Yan, Fuchuan Wei, Zhenhuan Liu

Abstract: Estimating properties of quantum states, such as fidelities, molecular energies, and correlation functions, is a fundamental task in quantum information science. Due to the limitation of practical quantum devices, including limited circuit depth and connectivity, estimating even linear properties encounters high sample complexity. To address this inefficiency, we propose a framework that optimizes… ▽ More Estimating properties of quantum states, such as fidelities, molecular energies, and correlation functions, is a fundamental task in quantum information science. Due to the limitation of practical quantum devices, including limited circuit depth and connectivity, estimating even linear properties encounters high sample complexity. To address this inefficiency, we propose a framework that optimizes sample complexity for estimating the expectation value of any observable using a shallow parameterized quantum circuit. Within this framework, we introduce two decomposition algorithms, a tensor network approach and a greedy projection approach that decompose the target observable into a linear combination of multiple observables, each of which can be diagonalized with the shallow circuit. Using this decomposition, we then apply an importance sampling algorithm to estimate the expectation value of the target observable. We numerically demonstrate the performance of our algorithm by estimating the expectation values of some specific Hamiltonians and inner product of a Slater determinant with a pure state, highlighting advantages compared to some conventional methods. Additionally, we derive the fundamental lower bound for the sample complexity required to estimate a target observable using a given shallow quantum circuit, thereby enhancing our understanding of the capabilities of shallow circuits in quantum learning tasks. △ Less

Submitted 16 October, 2025; v1 submitted 28 July, 2024; originally announced July 2024.

Comments: Major update to methods and numerics; a new co-author has been added

Stability of Quantum Systems beyond Canonical Typicality

Authors: Yu Su, Zi-Fan Zhu, Yao Wang, Rui-Xue Xu, YiJing Yan

Abstract: Involvement of the environment is indispensable for establishing the statistical distribution of system. We analyze the statistical distribution of a quantum system coupled strongly with a heat bath. This distribution is determined by tracing over the bath's degrees of freedom for the equilibrium system-plus-bath composite. The stability of system distribution is largely affected by the system--ba… ▽ More Involvement of the environment is indispensable for establishing the statistical distribution of system. We analyze the statistical distribution of a quantum system coupled strongly with a heat bath. This distribution is determined by tracing over the bath's degrees of freedom for the equilibrium system-plus-bath composite. The stability of system distribution is largely affected by the system--bath interaction strength. We propose that the quantum system exhibits a stable distribution only when its system response function in the frequency domain satisfies $\tildeχ(ω= 0+)>0$. We show our results by investigating the non-interacting bosonic impurity system from both the thermodynamic and dynamic perspectives. Our study refines the theoretical framework of canonical statistics, offering insights into thermodynamic phenomena in small-scale systems. △ Less

Submitted 21 July, 2024; originally announced July 2024.

Comments: 5 pages, 4 figures

Variational approach to light-matter interaction: Bridging quantum and semiclassical limits

Authors: Yiying Yan, Zhiguo Lü, JunYan Luo

Abstract: We present a time-dependent variational approach with the multiple Davydov $D_2$ trial state to simulate the dynamics of light-matter systems when the field is in a coherent state with an arbitrary finite mean photon number. The variational approach captures not only the system dynamics but also the field dynamics and is applicable to a variety of quantum models of light-matter interaction such as… ▽ More We present a time-dependent variational approach with the multiple Davydov $D_2$ trial state to simulate the dynamics of light-matter systems when the field is in a coherent state with an arbitrary finite mean photon number. The variational approach captures not only the system dynamics but also the field dynamics and is applicable to a variety of quantum models of light-matter interaction such as the Jaynes-Cummings model, Rabi model, and Dicke model, and is feasible to tackle the multimode quantized fields. By comparison of the variational and semiclassical dynamics of both the system and field, we illustrate that the variational dynamics from the quantum models agrees with those from the corresponding semiclassical models as long as the mean number of photons is sufficiently large. Moreover, we illustrate that in the crossover between the quantum and semiclassical limits, the quantum corrections lead to the collapse of the oscillations in dynamics, which is absent in the semiclassical models. The variational approach provides a unified treatment of light-matter interaction from the quantum to the semiclassical limit. △ Less

Submitted 16 July, 2024; originally announced July 2024.

Comments: 14 pages, 8 figures

Noiseless linear amplification-based quantum Ziv-Zakai bound for phase estimation and its Heisenberg error limits in noisy scenarios

Authors: Wei Ye, Peng Xiao, Xiaofan Xu, Xiang Zhu, Yunbin Yan, Lu Wang, Jie Ren, Yuxuan Zhu, Ying Xia, Xuan Rao, Shoukang Chang

Abstract: In this work, we address the central problem about how to effectively find the available precision limit of unknown parameters. In the framework of the quantum Ziv-Zakai bound (QZZB), we employ noiseless linear amplification (NLA)techniques to an initial coherent state (CS) as the probe state, and focus on whether the phase estimation performance is improved significantly in noisy scenarios, invol… ▽ More In this work, we address the central problem about how to effectively find the available precision limit of unknown parameters. In the framework of the quantum Ziv-Zakai bound (QZZB), we employ noiseless linear amplification (NLA)techniques to an initial coherent state (CS) as the probe state, and focus on whether the phase estimation performance is improved significantly in noisy scenarios, involving the photon-loss and phase-diffusion cases. More importantly, we also obtain two kinds of Heisenberg error limits of the QZZB with the NLA-based CS in these noisy scenarios, making comparisons with both the Margolus-Levitin (ML) type bound and the Mandelstam-Tamm (MT) type bound. Our analytical results show that in cases of photon loss and phase diffusion, the phase estimation performance of the QZZB can be improved remarkably by increasing the NLA gain factor. Particularly, the improvement is more pronounced with severe photon losses. Furthermore in minimal photon losses, our Heisenberg error limit shows better compactness than the cases of the ML-type and MT-type bounds. Our findings will provide an useful guidance for accomplishing more complex quantum information processing tasks. △ Less

Submitted 22 April, 2024; originally announced April 2024.

Comments: 10 pages, 9 figures

Simulating Non-Markovian Open Quantum Dynamics with Neural Quantum States

Authors: Long Cao, Liwei Ge, Daochi Zhang, Xiang Li, Yao Wang, Rui-Xue Xu, YiJing Yan, Xiao Zheng

Abstract: Reducing computational scaling for simulating non-Markovian dissipative dynamics using artificial neural networks is both a major focus and formidable challenge in open quantum systems. To enable neural quantum states (NQSs), we encode environmental memory in dissipatons (quasiparticles with characteristic lifetimes), yielding the dissipaton-embedded quantum master equation (DQME). The resulting N… ▽ More Reducing computational scaling for simulating non-Markovian dissipative dynamics using artificial neural networks is both a major focus and formidable challenge in open quantum systems. To enable neural quantum states (NQSs), we encode environmental memory in dissipatons (quasiparticles with characteristic lifetimes), yielding the dissipaton-embedded quantum master equation (DQME). The resulting NQS-DQME framework achieves compact representation of many-body correlations and non-Markovian memory. Benchmarking against numerically exact hierarchical equations of motion confirms NQS-DQME maintains comparable accuracy while enhancing scalability and interpretability. This methodology opens new paths to explore non-Markovian open quantum dynamics in previously intractable systems. △ Less

Submitted 12 November, 2025; v1 submitted 17 April, 2024; originally announced April 2024.

Comments: 7 pages, 5 figures

Quantum Mechanics of Open Systems in Non-Inertial Motion

Authors: Zi-Fan Zhu, Yu Su, Yao Wang, Rui-Xue Xu, YiJing Yan

Abstract: The study of quantum mechanics in non-inertial reference frames, particularly in the context of open systems, introduces several intriguing phenomena and challenges. This paper presents a comprehensive framework for analyzing the quantum mechanics of open systems undergoing noninertial motion. Our methodology leverages the concept of dissipatons, statistical quasi-particles that capture collective… ▽ More The study of quantum mechanics in non-inertial reference frames, particularly in the context of open systems, introduces several intriguing phenomena and challenges. This paper presents a comprehensive framework for analyzing the quantum mechanics of open systems undergoing noninertial motion. Our methodology leverages the concept of dissipatons, statistical quasi-particles that capture collective dissipative effects from the environment. We demonstrate that our approach offers a natural understanding of the intricate dynamics among non-inertial effects, decoherence, dissipation, and system-bath entanglement. Specifically, we conduct demonstrations focusing on the Lamb shift phenomenon within a rotating ring cavity. Through theoretical exposition and practical applications, our framework elucidates the profound interplay between open quantum dynamics and non-inertial motion, paving the way for advancements in quantum information processing and sensing technologies. △ Less

Submitted 10 April, 2024; originally announced April 2024.

Comments: 7 pages, 1 figure

Towards Quantum Simulation of Non-Markovian Open Quantum Dynamics: A Universal and Compact Theory

Authors: Xiang Li, Su-Xiang Lyu, Yao Wang, Rui-Xue Xu, Xiao Zheng, YiJing Yan

Abstract: Non-Markovianity, the intricate dependence of an open quantum system on its temporal evolution history, holds tremendous implications across various scientific disciplines. However, accurately characterizing the complex non-Markovian effects has posed a formidable challenge for numerical simulations. While quantum computing technologies show promise, a universal theory enabling practical quantum a… ▽ More Non-Markovianity, the intricate dependence of an open quantum system on its temporal evolution history, holds tremendous implications across various scientific disciplines. However, accurately characterizing the complex non-Markovian effects has posed a formidable challenge for numerical simulations. While quantum computing technologies show promise, a universal theory enabling practical quantum algorithm implementation has been elusive. We address this gap by introducing the dissipaton-embedded quantum master equation in second quantization (DQME-SQ). This exact and compact theory offers two key advantages: representability by quantum circuits and universal applicability to any Gaussian environment. We demonstrate these capabilities through digital quantum simulations of non-Markovian dissipative dynamics in both bosonic and fermionic environments. The DQME-SQ framework opens a new horizon for the efficient exploration of complex open quantum systems by leveraging the rapidly advancing quantum computing technologies. △ Less

Submitted 22 January, 2025; v1 submitted 30 January, 2024; originally announced January 2024.

Comments: Typo correction, addition of detailed analysis of complexity and error

Journal ref: Phys. Rev. A 110, 032620 (2024)

Extended system-bath entanglement theorem for multiple bosonic or fermionic environments

Authors: Yu Su, Hao-Yang Qi, Zi-Hao Chen, Yao Wang, Rui-Xue Xu, YiJing Yan

Abstract: The system-bath entanglement theorem (SBET) was established in terms of linear response functions [J. Chem. Phys. 152, 034102 (2020)] and generalized to correlation functions [arXiv: 2312.13618 (2023)] in our previous works. This theorem connects the entangled system-bath properties to the local system and bare bath ones. In this work, firstly we extend the SBET to field-dressed conditions with mu… ▽ More The system-bath entanglement theorem (SBET) was established in terms of linear response functions [J. Chem. Phys. 152, 034102 (2020)] and generalized to correlation functions [arXiv: 2312.13618 (2023)] in our previous works. This theorem connects the entangled system-bath properties to the local system and bare bath ones. In this work, firstly we extend the SBET to field-dressed conditions with multiple bosonic Gaussian environments at different temperatures. Not only the system but also environments are considered to be of optical polarizability, as in reality. With the aid of the extended SBET developed here, for the evaluation of the nonlinear spectroscopy such as the pump-probe, the entangled system-bath contributions can be obtained upon reduced system evolutions via certain quantum dissipative methods. The extended SBET in the field-free condition and its counterpart in the classical limit is also presented. The SBET for fermionic environments is elaborated within the transport scenarios for completeness. △ Less

Submitted 18 January, 2024; v1 submitted 17 January, 2024; originally announced January 2024.

Comments: 10 pages

HEOM-QUICK2: a general-purpose simulator for fermionic many-body open quantum systems -- An Update

Authors: Daochi Zhang, Lyuzhou Ye, Jiaan Cao, Yao Wang, Rui-Xue Xu, Xiao Zheng, YiJing Yan

Abstract: Many-body open quantum systems (OQS) have a profound impact on various subdisciplines of physics, chemistry, and biology. Thus, the development of a computer program capable of accurately, efficiently, and versatilely simulating many-body OQS is highly desirable. In recent years, we have focused on the advancement of numerical algorithms based on the fermionic hierarchical equations of motion (HEO… ▽ More Many-body open quantum systems (OQS) have a profound impact on various subdisciplines of physics, chemistry, and biology. Thus, the development of a computer program capable of accurately, efficiently, and versatilely simulating many-body OQS is highly desirable. In recent years, we have focused on the advancement of numerical algorithms based on the fermionic hierarchical equations of motion (HEOM) theory. Being in-principle exact, this approach allows for the precise characterization of many-body correlations, non-Markovian memory, and non-equilibrium thermodynamic conditions. These efforts now lead to the establishment of a new computer program, HEOM for QUantum Impurity with a Correlated Kernel, version 2 (HEOM-QUICK2), which, to the best of our knowledge, is currently the only general-purpose simulator for fermionic many-body OQS. Compared with version 1, the HEOM-QUICK2 program features more efficient solvers for stationary states, more accurate treatment of non-Markovian memory, and improved numerical stability for long-time dissipative dynamics. Integrated with quantum chemistry software, HEOM-QUICK2 has become a valuable theoretical tool for the precise simulation of realistic many-body OQS, particularly the single atomic or molecular junctions. Furthermore, the unprecedented precision achieved by HEOM-QUICK2 enables accurate simulation of low-energy spin excitations and coherent spin relaxation. The unique usefulness of HEOM-QUICK2 is demonstrated through several examples of strongly correlated quantum impurity systems under non-equilibrium conditions. Thus, the new HEOM-QUICK2 program offers a powerful and comprehensive tool for studying many-body OQS with exotic quantum phenomena and exploring applications in various disciplines. △ Less

Submitted 15 November, 2024; v1 submitted 3 January, 2024; originally announced January 2024.

Comments: 67 pages; 13 figures

Generalized system-bath entanglement theorem for Gaussian environments

Authors: Yu Su, Yao Wang, Rui-Xue Xu, YiJing Yan

Abstract: A system-bath entanglement theorem (SBET) with Gaussian environments was established previously in J. Chem. Phys. 152, 034102 (2020) in terms of linear response functions. This theorem connects the system-bath entanglement responses to the local system and bare bath ones. In this work, we generalize it to correlation functions. Key steps in derivation are the generalized Langevin dynamics for the… ▽ More A system-bath entanglement theorem (SBET) with Gaussian environments was established previously in J. Chem. Phys. 152, 034102 (2020) in terms of linear response functions. This theorem connects the system-bath entanglement responses to the local system and bare bath ones. In this work, we generalize it to correlation functions. Key steps in derivation are the generalized Langevin dynamics for the hybridizing bath modes as in the previous work, together with the Bogoliubov transformation mapping the original finite-temperature canonical reservoir to an effective zero-temperature vacuum via an auxiliary bath. With the theorem, the system-bath entangled correlations and the bath modes correlations in the full composite space can be evaluated as long as the bare-bath statistical properties are known and the reduced system correlations are obtained. Numerical demonstrations are carried out for the evaluation of the solvation free energy of an electron transfer system with a certain intramolecular vibrational modes. △ Less

Submitted 21 December, 2023; originally announced December 2023.

Comments: 9 pages, 3 figures

Realizing the controllable excitation transfer based on the atom coupling the finite-size Su-Schrieffer-Heeger model

Authors: Da-Wei Wang, Chengsong Zhao, Junya Yang, Ye-Ting Yan, Ling Zhou

Abstract: In this paper, we study the interaction between atom and the finite-size Su-Schrieffer-Heeger (SSH) model. We find that when the finite SSH model in the trivial phase, it can be viewed as the atom coupling with the waveguide with the finite bandwidths and non-linear dispersion relation. However, for the SSH model in the topological phase, when we consider the frequency of the atom is resonant with… ▽ More In this paper, we study the interaction between atom and the finite-size Su-Schrieffer-Heeger (SSH) model. We find that when the finite SSH model in the trivial phase, it can be viewed as the atom coupling with the waveguide with the finite bandwidths and non-linear dispersion relation. However, for the SSH model in the topological phase, when we consider the frequency of the atom is resonant with the edge mode of the SSH model, we find that the atom state couples to the two edge states. In this case, we find that there exists a special channel that can be utilized to transfer the atomic excitation to the ends of the SSH model using adiabatic processes. When the atom couples to the different sub-lattice, the excitation of the atom can be transferred to the leftmost or rightmost end of the chain, which provides the potential application toward quantum information processing. Furthermore, The excitation transfer of excited states of atoms to the ends of the chain can also be realized without the adiabatic process. Our work provides a pathway for realizing controllable quantum information transfer based on the atom couples topological matter. △ Less

Submitted 5 November, 2023; originally announced November 2023.

Ray computational ghost imaging based on rotational modulation method

Authors: Zhi Zhou, Sangang Li, Shan Liao, Sirun Gong, Rongrong Su, Chuxiang Zhao, Li Yang, Qi Liu, Yucheng Yan, Mingzhe Liu, Yi Cheng

Abstract: The CGI (CGI) has the potential of low cost, low dose, and high resolution, which is very attractive for the development of radiation imaging field. However, many sub-coding plates must be used in the modulation process, which greatly affects the development of CGI technology. In order to reduce the coding plates, we refer to the rotation method of computed tomography (CT), then propose a novel CG… ▽ More The CGI (CGI) has the potential of low cost, low dose, and high resolution, which is very attractive for the development of radiation imaging field. However, many sub-coding plates must be used in the modulation process, which greatly affects the development of CGI technology. In order to reduce the coding plates, we refer to the rotation method of computed tomography (CT), then propose a novel CGI method based on rotational modulation method of a single-column striped coding plate. This method utilizes the spatial variation of a single sub-coding plate (rotation) to realize multiple modulation of the ray field and improves the utilization rate of a single sub-coding plate. However, for this rotation scheme of CGI, the traditional binary modulation matrix is no longer applicable. To obtain the system matrix of the rotated striped coding plate, an area model based on beam boundaries is established. Subsequently, numerical and Monte Carlo simulations were conducted. The results reveal that our scheme enables high-quality imaging of N*N resolution objects using only N sub-coding plates, under both full-sampling and under-sampling scenarios. Moreover, our scheme demonstrates superiority over the Hadamard scheme in both imaging quality and the number of required sub-coding plates, whether in scenarios of full-sampling or under-sampling. Finally, an α ray imaging platform was established to further demonstrate the feasibility of the rotational modulation method. By employing our scheme, a mere 8 sub-coding plates were employed to achieve CGI of the radiation source intensity distribution, achieving a resolution of 8*8. Therefore, the novel ray CGI based on rotational modulation method can achieve high-quality imaging effect with fewer sub-coding plates, which has important practical value and research significance for promoting single-pixel radiation imaging technology. △ Less

Submitted 1 November, 2023; originally announced November 2023.

High-Sensitive Microwave Electrometry with Enhanced Instantaneous Bandwidth

Authors: Bowen Yang, Yuhan Yan, Xuejie Li, Ling Xiao, Xiaolin Li, L. Q. Chen, Jianliao Deng, Huadong Cheng

Abstract: Rydberg microwave (MW) sensors are superior to conventional antenna-based techniques because of their wide operating frequency range and outstanding potential sensitivity. Here, we demonstrate a Rydberg microwave receiver with a high sensitivity of $62\,\mathrm{nV} \mathrm{cm}^{-1} \mathrm{Hz}^{-1/2}$ and broad instantaneous bandwidth of up to $10.2\,\mathrm{MHz}$. Such excellent performance was a… ▽ More Rydberg microwave (MW) sensors are superior to conventional antenna-based techniques because of their wide operating frequency range and outstanding potential sensitivity. Here, we demonstrate a Rydberg microwave receiver with a high sensitivity of $62\,\mathrm{nV} \mathrm{cm}^{-1} \mathrm{Hz}^{-1/2}$ and broad instantaneous bandwidth of up to $10.2\,\mathrm{MHz}$. Such excellent performance was achieved by the amplification of one generated sideband wave induced by the strong coupling field in the six-wave mixing process of the Rydberg superheterodyne receiver, which was well predicted by our theory. Our system, which possesses a uniquely enhanced instantaneous bandwidth and high-sensitivity features that can be improved further, will promote the application of Rydberg microwave electrometry in radar and communication. △ Less

Submitted 8 October, 2023; originally announced October 2023.

Journal ref: Phys. Rev. Applied 21, L031003 (2024)

Interaction between giant atoms in a one-dimensional topological waveguide

Authors: Da-Wei Wang, Chengsong Zhao, Junya Yang, Ye-Ting Yan, Zhihai-Wang Ling Zhou

Abstract: In this paper, we consider giant atoms coupled to a one-dimensional topological waveguide reservoir. We studied the following two cases. In the bandgap regime, where the giant-atom frequency lies outside the band, we study the generation and distribution of giant atom-photon bound states and the difference between the topological waveguide in topological and trivial phases. When the strengths of… ▽ More In this paper, we consider giant atoms coupled to a one-dimensional topological waveguide reservoir. We studied the following two cases. In the bandgap regime, where the giant-atom frequency lies outside the band, we study the generation and distribution of giant atom-photon bound states and the difference between the topological waveguide in topological and trivial phases. When the strengths of the giant atoms coupled to the two sub-lattice points are equal, the photons distribution is symmetrical and the chiral photon distribution is exhibited when the coupling is different. The coherent interactions between giant atoms are induced by virtual photons, or can be understood as an overlap of photon bound-state wave functions, and decay exponentially with increasing distance between the giant atoms. We also find that the coherent interactions induced by the topological phase are larger than those induced by the trivial phase for the same bandgap width. In the band regime, the giant-atom frequency lies in the band, under the Born-Markov approximation, we obtained effective coherence and correlated dissipative interactions between the giant atoms mediated by topological waveguide reservoirs, which depend on the giant-atom coupling nodes. We analyze the effect of the form of the giant-atom coupling point on the decay, and on the associated dissipation. The results show that we can design the coupling form as well as the frequency of the giant atoms to achieve zero decay and correlation dissipation and non-zero coherent interactions. Finally we used this scheme to realize the excitation transfer of giant atoms. Our work will promote the study of topological matter coupled to giant atoms. △ Less

Submitted 5 November, 2023; v1 submitted 7 September, 2023; originally announced September 2023.

Magic of quantum hypergraph states

Authors: Junjie Chen, Yuxuan Yan, You Zhou

Abstract: Magic, or nonstabilizerness, characterizes the deviation of a quantum state from the set of stabilizer states and plays a fundamental role from quantum state complexity to universal fault-tolerant quantum computing. However, analytical or even numerical characterizations of magic are very challenging, especially in the multi-qubit system, even with a moderate qubit number. Here we systemically and… ▽ More Magic, or nonstabilizerness, characterizes the deviation of a quantum state from the set of stabilizer states and plays a fundamental role from quantum state complexity to universal fault-tolerant quantum computing. However, analytical or even numerical characterizations of magic are very challenging, especially in the multi-qubit system, even with a moderate qubit number. Here we systemically and analytically investigate the magic resource of archetypal multipartite quantum states -- quantum hypergraph states, which can be generated by multi-qubit Controlled-phase gates encoded by hypergraphs. We first give the magic formula in terms of the stabilizer R$\mathrm{\acute{e}}$nyi-$α$ entropies for general quantum hypergraph states and prove the magic can not reach the maximal value, if the average degree of the corresponding hypergraph is constant. Then we investigate the statistical behaviors of random hypergraph states and prove the concentration result that typically random hypergraph states can reach the maximal magic. This also suggests an efficient way to generate maximal magic states with random diagonal circuits. Finally, we study some highly symmetric hypergraph states with permutation-symmetry, such as the one whose associated hypergraph is $3$-complete, i.e., any three vertices are connected by a hyperedge. Counterintuitively, such states can only possess constant or even exponentially small magic for $α\geq 2$. Our study advances the understanding of multipartite quantum magic and could lead to applications in quantum computing and quantum many-body physics. △ Less

Submitted 14 May, 2024; v1 submitted 3 August, 2023; originally announced August 2023.

Comments: published version: 20+17 pages, 4 figures, comments are welcome

Journal ref: Quantum 8, 1351 (2024)

Effective Hamiltonian approach to the quantum phase transitions in the extended Jaynes-Cummings model

Authors: H. T. Cui, Y. A. Yan, M. Qin, X. X. Yi

Abstract: The study of phase transitions in dissipative quantum systems based on the Liouvillian is often hindered by the difficulty of constructing a time-local master equation when the system-environment coupling is strong. To address this issue, the complex discretization approximation for the environment is proposed to study the quantum phase transition in the extended Jaynes-Cumming model with an infin… ▽ More The study of phase transitions in dissipative quantum systems based on the Liouvillian is often hindered by the difficulty of constructing a time-local master equation when the system-environment coupling is strong. To address this issue, the complex discretization approximation for the environment is proposed to study the quantum phase transition in the extended Jaynes-Cumming model with an infinite number of boson modes. This approach yields a non-Hermitian effective Hamiltonian that can be used to simulate the dynamics of the spin. It is found that the ground state of this effective Hamiltonian determines the spin dynamics in the single-excitation subspace. Depending on the opening of the energy gap and the maximum population of excitations on the spin degree of freedom, three distinct phases can be identified: fast decaying, localized, and stretched dynamics of the spin. This approach can be extended to multiple excitations, and similar dynamics were found in the double-excitation subspace, indicating the robustness of the single-excitation phase. △ Less

Submitted 6 April, 2024; v1 submitted 25 July, 2023; originally announced July 2023.

Comments: 12pages, published version

Journal ref: Phys. Rev. A 109.042202(2024)

Tunable Coupling Architectures with Capacitively Connecting Pads for Large-Scale Superconducting Multi-Qubit Processors

Authors: Gui-Han Liang, Xiao-Hui Song, Cheng-Lin Deng, Xu-Yang Gu, Yu Yan, Zheng-Yang Mei, Si-Lu Zhao, Yi-Zhou Bu, Yong-Xi Xiao, Yi-Han Yu, Ming-Chuan Wang, Tong Liu, Yun-Hao Shi, He Zhang, Xiang Li, Li Li, Jing-Zhe Wang, Ye Tian, Shi-Ping Zhao, Kai Xu, Heng Fan, Zhong-Cheng Xiang, Dong-Ning Zheng

Abstract: We have proposed and experimentally verified a tunable inter-qubit coupling scheme for large-scale integration of superconducting qubits. The key feature of the scheme is the insertion of connecting pads between qubit and tunable coupling element. In such a way, the distance between two qubits can be increased considerably to a few millimeters, leaving enough space for arranging control lines, rea… ▽ More We have proposed and experimentally verified a tunable inter-qubit coupling scheme for large-scale integration of superconducting qubits. The key feature of the scheme is the insertion of connecting pads between qubit and tunable coupling element. In such a way, the distance between two qubits can be increased considerably to a few millimeters, leaving enough space for arranging control lines, readout resonators and other necessary structures. The increased inter-qubit distance provides more wiring space for flip-chip process and reduces crosstalk between qubits and from control lines to qubits. We use the term Tunable Coupler with Capacitively Connecting Pad (TCCP) to name the tunable coupling part that consists of a transmon coupler and capacitively connecting pads. With the different placement of connecting pads, different TCCP architectures can be realized. We have designed and fabricated a few multi-qubit devices in which TCCP is used for coupling. The measured results show that the performance of the qubits coupled by the TCCP, such as $T_1$ and $T_2$, was similar to that of the traditional transmon qubits without TCCP. Meanwhile, our TCCP also exhibited a wide tunable range of the effective coupling strength and a low residual ZZ interaction between the qubits by properly tuning the parameters on the design. Finally, we successfully implemented an adiabatic CZ gate with TCCP. Furthermore, by introducing TCCP, we also discuss the realization of the flip-chip process and tunable coupling qubits between different chips. △ Less

Submitted 8 June, 2023; originally announced June 2023.

Comments: Main text: 7 pages, 6 figures

Journal ref: Phys. Rev. Applied 20, 044028 (2023)

Limitations of Noisy Quantum Devices in Computational and Entangling Power

Authors: Yuxuan Yan, Zhenyu Du, Junjie Chen, Xiongfeng Ma

Abstract: Quantum computing devices have been rapidly developed in the past decade. Tremendous efforts have been devoted to finding quantum advantages for useful but classically intractable problems via current noisy quantum devices without error correction. It is important to know the fundamental limitations of noisy quantum devices with the help of classical computers. For computation with general classic… ▽ More Quantum computing devices have been rapidly developed in the past decade. Tremendous efforts have been devoted to finding quantum advantages for useful but classically intractable problems via current noisy quantum devices without error correction. It is important to know the fundamental limitations of noisy quantum devices with the help of classical computers. For computation with general classical processing, we show that noisy quantum devices with a circuit depth of more than $O(\log n)$ provide no advantages in any quantum algorithms. This rigorously rules out the possibility of implementing well-known quantum algorithms, including Shor's, Grover's, Harrow-Hassidim-Lloyd, and linear-depth variational algorithms. Then, we study the maximal entanglement that noisy quantum devices can produce under one- and two-dimensional qubit connections. In particular, for a one-dimensional qubit chain, we show an upper bound of $O(\log n)$. This finding highlights the restraints for quantum simulation and scalability regarding entanglement growth. Additionally, our result sheds light on the classical simulatability in practical cases. △ Less

Submitted 5 June, 2023; originally announced June 2023.

Comments: 18 pages, 6 figures

Kondo regime of the impurity spectral function and the current noise spectrum in the double impurity Anderson model

Authors: Zi-Hao Chen, YiJing Yan

Abstract: The dissipaton equations of motion (DEOM) method is one of the most popular methods for simulating quantum impurity systems. In this article, we use DOEM theory to deal with the Kondo problem of the double quantum dots (DQDs) impurity system. We focus on the impurity spectral function and the total noise spectral function, this two function will be used to describe the Kondo effect of this system.… ▽ More The dissipaton equations of motion (DEOM) method is one of the most popular methods for simulating quantum impurity systems. In this article, we use DOEM theory to deal with the Kondo problem of the double quantum dots (DQDs) impurity system. We focus on the impurity spectral function and the total noise spectral function, this two function will be used to describe the Kondo effect of this system. The influence of the interaction, the hooping and the difference of the chemical potential between the two dots on the Kondo effect of the system is studied. We find that the interaction between the two dots can influence the Kondo effect of the system a lot. △ Less

Submitted 28 May, 2023; originally announced May 2023.

Distance-dependent emission spectrum from two qubits in a strong-coupling regime

Authors: Rongzhen Hu, JunYan Luo, Yiying Yan

Abstract: We study the emission spectrum of two distant qubits strongly coupled to a waveguide by using the numerical and analytical approaches, which are beyond the Markovian approximation and the rotating-wave approximation (RWA). The numerical approach combines the Dirac-Frenkel time-dependent variational principle with the multiple Davydov $D_{1}$ ansatz. A transformed RWA (TRWA) treatment and a standar… ▽ More We study the emission spectrum of two distant qubits strongly coupled to a waveguide by using the numerical and analytical approaches, which are beyond the Markovian approximation and the rotating-wave approximation (RWA). The numerical approach combines the Dirac-Frenkel time-dependent variational principle with the multiple Davydov $D_{1}$ ansatz. A transformed RWA (TRWA) treatment and a standard perturbation (SP) are used to analytically calculate the emission spectrum. It is found that the variational approach and the TRWA treatment yield accurate emission spectra of the two distant qubits in certain strong coupling regimes while the SP breaks down. The emission spectrum is found to be asymmetric irrespective of the two-qubit distance and exhibits a single peak, doublet, and multipeaks depending on the two-qubit distance as well as the initial states. In sharply contrast with the single-qubit case, the excited-state populations of the two qubits can ultraslowly decay due to the subradiance even in the presence of a strong qubit-waveguide coupling, which in turn yields ultranarrow emission line. Our results provide insights into the emission spectral features of the two distant qubits in the strong light-matter coupling regime. △ Less

Submitted 21 April, 2023; originally announced April 2023.

Comments: 15 pages, 4 figures

Multiphoton resonance band and Bloch-Siegert shift in a bichromatically driven qubit

Authors: Yiying Yan, Zhiguo Lü, Lipeng Chen, Hang Zheng

Abstract: We study the resonance and dynamics of a qubit exposed to a strong aperiodic bichromatic field by using a periodic counter-rotating hybridized rotating wave (CHRW) Hamiltonian, which is derived from the original Hamiltonian with the unitary transformations under a reasonable approximation and enables the application of the Floquet theory. It is found that the consistency between the CHRW results a… ▽ More We study the resonance and dynamics of a qubit exposed to a strong aperiodic bichromatic field by using a periodic counter-rotating hybridized rotating wave (CHRW) Hamiltonian, which is derived from the original Hamiltonian with the unitary transformations under a reasonable approximation and enables the application of the Floquet theory. It is found that the consistency between the CHRW results and numerically exact generalized-Floquet-theory (GFT) results in the valid regime of the former while the widely used rotating-wave approximation (RWA) breaks down. We illustrate that the resonance exhibits band structure and the Bloch-Siegert shifts induced by the counter-rotating couplings of the bichromatic field become notable at the multiphoton resonance band. In addition, the CHRW method is found to have a great advantage of efficiency over the GFT approach particularly in the low beat-frequency case where the latter converges very slowly. The present CHRW method provides a highly efficient way to calculate the resonance frequency incorporating the Bloch-Siegert shift and provides insights into the effects of the counter-rotating couplings of the bichromatic field in the strong-driving regimes. △ Less

Submitted 5 April, 2023; originally announced April 2023.

Comments: 10 pages, 6 figures