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Precision quantum simulation of magnon spectra and interactions
Authors:
Trond I. Andersen,
Nikita Astrakhantsev,
Jeronimo Martinez,
Will Morong,
Johannes Motruk,
Dario Rossi,
Brayden Ware,
Bryce Kobrin,
Weijie Wu,
Elizabeth Bennewitz,
Manuel Rudolph,
Tom Westerhout,
Amira Abbas,
Rajeev Acharya,
Laleh Aghababaie Beni,
Ross Alcaraz,
Sayra Alcaraz,
Markus Ansmann,
Frank Arute,
Kunal Arya,
Walt Askew,
Juan Atalaya,
Christopher Ayala,
Ryan Babbush,
Brian Ballard
, et al. (307 additional authors not shown)
Abstract:
Quantum simulation promises to advance materials discovery by accurately simulating complex states of matter, their microscopic excitations, and macroscopic response functions. The central challenge in resolving the underlying interacting dynamics is to combine high-fidelity evolution with the sophisticated control necessary to manipulate individual quasi-particles in quantum many-body states. Her…
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Quantum simulation promises to advance materials discovery by accurately simulating complex states of matter, their microscopic excitations, and macroscopic response functions. The central challenge in resolving the underlying interacting dynamics is to combine high-fidelity evolution with the sophisticated control necessary to manipulate individual quasi-particles in quantum many-body states. Here, we report on high-precision simulation of both linear and non-linear response functions in a 2D XY spin-1/2 magnet using an analog-digital superconducting processor of up to 97 qubits. By interleaving digital gates with analog evolution precisely characterized via Hamiltonian learning, we selectively excite magnons at tunable energy densities. Measuring first the linear magnon response -- a central probe in neutron-scattering experiments -- we extract temperature-dependent spectra and lifetimes. Our results reveal stark variations in magnon decay rates across the Brillouin zone, with enhancement near van Hove singularities and suppression for edge-localized modes. Next, we perform a suite of nonlinear measurements, including the study of self-scattering mechanisms, as well as pump-probe spectroscopy to directly characterize the magnon interactions. While matrix-product state simulations capture the dynamics well in either small systems or at low temperatures, their predictions become inaccurate away from these limits. This work demonstrates precise simulation of the interacting dynamics in quantum magnets, and provides key insights into quasi-particles and their microscopic scattering mechanisms.
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Submitted 14 July, 2026;
originally announced July 2026.
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Hilbert space signatures of non-ergodic glassy dynamics
Authors:
Aleksey Lunkin,
Nicole S. Ticea,
Shashwat Kumar,
Connie Miao,
Jaehong Choi,
Mohammed Alghadeer,
Ilya Drozdov,
Dmitry Abanin,
Amira Abbas,
Rajeev Acharya,
Laleh Beni,
Georg Aigeldinger,
Ross Alcaraz,
Sayra Alcaraz,
Markus Ansmann,
Frank Arute,
Kunal Arya,
Walt Askew,
Nikita Astrakhantsev,
Juan Atalaya,
Ryan Babbush,
Brian Ballard,
Joseph C. Bardin,
Hector Bates,
Andreas Bengtsson
, et al. (270 additional authors not shown)
Abstract:
Disorder in quantum many-body systems can drive transitions between ergodic and non-ergodic phases, yet the nature--and even the existence--of these transitions remains intensely debated. Using a two-dimensional array of superconducting qubits, we study an interacting spin model at finite temperature in a disordered landscape, tracking dynamics both in real space and in Hilbert space. Over a broad…
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Disorder in quantum many-body systems can drive transitions between ergodic and non-ergodic phases, yet the nature--and even the existence--of these transitions remains intensely debated. Using a two-dimensional array of superconducting qubits, we study an interacting spin model at finite temperature in a disordered landscape, tracking dynamics both in real space and in Hilbert space. Over a broad disorder range, we observe an intermediate non-ergodic regime with glass-like characteristics: physical observables become broadly distributed and some, but not all, degrees of freedom are effectively frozen. The Hilbert-space return probability shows slow power-law decay, consistent with finite-temperature quantum glassiness. In the same regime, we detect the onset of a finite Edwards-Anderson order parameter and the disappearance of spin diffusion. By contrast, at lower disorder, spin transport persists with a nonzero diffusion coefficient. Our results show that there is a transition out of the ergodic phase in two-dimensional systems.
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Submitted 15 April, 2026; v1 submitted 3 January, 2026;
originally announced January 2026.
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Observation of disorder-induced superfluidity
Authors:
Nicole Ticea,
Elias Portoles,
Eliott Rosenberg,
Alexander Schuckert,
Aaron Szasz,
Bryce Kobrin,
Nicolas Pomata,
Pranjal Praneel,
Connie Miao,
Shashwat Kumar,
Ella Crane,
Ilya Drozdov,
Yuri Lensky,
Sofia Gonzalez-Garcia,
Thomas Kiely,
Dmitry Abanin,
Amira Abbas,
Rajeev Acharya,
Laleh Aghababaie Beni,
Georg Aigeldinger,
Ross Alcaraz,
Sayra Alcaraz,
Markus Ansmann,
Frank Arute,
Kunal Arya
, et al. (277 additional authors not shown)
Abstract:
The emergence of states with long-range correlations in a disordered landscape is rare, as disorder typically suppresses the particle mobility required for long-range coherence. But when more than two energy levels are available per site, disorder can induce resonances that locally enhance mobility. Here we explore phases arising from the interplay between disorder, kinetic energy, and interaction…
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The emergence of states with long-range correlations in a disordered landscape is rare, as disorder typically suppresses the particle mobility required for long-range coherence. But when more than two energy levels are available per site, disorder can induce resonances that locally enhance mobility. Here we explore phases arising from the interplay between disorder, kinetic energy, and interactions on a superconducting processor with qutrit readout and control. Compressibility measurements distinguish an incompressible Mott insulator from surrounding compressible phases and reveal signatures of glassiness, reflected in non-ergodic behavior. Spatially-resolved two-point correlator measurements identify regions of the phase diagram with a non-vanishing condensate fraction. We also visualize the spectrum by measuring the dynamical structure factor. A linearly-dispersing phonon mode materializes in the superfluid, appearing even when disorder is introduced to the clean Mott insulator. Our results provide strong experimental evidence for disorder-induced superfluidity.
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Submitted 3 February, 2026; v1 submitted 24 December, 2025;
originally announced December 2025.
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Systematic Construction of Time-Dependent Hamiltonians for Microwave-Driven Josephson Circuits
Authors:
Yao Lu,
Tianpu Zhao,
André Vallières,
Kevin C. Smith,
Daniel Weiss,
Xinyuan You,
Yaxing Zhang,
Suhas Ganjam,
Aniket Maiti,
John W. O. Garmon,
Shantanu Mundhada,
Ziwen Huang,
Ian Mondragon-Shem,
Steven M. Girvin,
Jens Koch,
Robert J. Schoelkopf
Abstract:
Time-dependent electromagnetic drives are fundamental for controlling complex quantum systems, including superconducting Josephson circuits. In these devices, accurate time-dependent Hamiltonian models are imperative for predicting their dynamics and designing high-fidelity quantum operations. Existing numerical methods, such as black-box quantization (BBQ) and energy-participation ratio (EPR), ex…
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Time-dependent electromagnetic drives are fundamental for controlling complex quantum systems, including superconducting Josephson circuits. In these devices, accurate time-dependent Hamiltonian models are imperative for predicting their dynamics and designing high-fidelity quantum operations. Existing numerical methods, such as black-box quantization (BBQ) and energy-participation ratio (EPR), excel at modeling the static Hamiltonians of Josephson circuits. However, these techniques do not fully capture the behavior of driven circuits stimulated by external microwave drives, nor do they include a generalized approach to account for the inevitable noise and dissipation that enter through microwave ports. Here, we introduce numerical techniques that leverage classical microwave simulations, efficiently executable in finite-element solvers, to obtain the time-dependent Hamiltonian of microwave-driven superconducting circuits with arbitrary geometries under charge, flux, or mixed electromagnetic modulation. Importantly, our techniques do not rely on a lumped-element description of the superconducting circuit, in contrast to previous approaches to tackling this problem. We demonstrate the versatility of our approach by characterizing the driven properties of realistic circuit devices in complex electromagnetic environments, including coherent dynamics due to charge and flux modulation, as well as drive-induced relaxation and dephasing. Our techniques offer a powerful toolbox for optimizing circuit designs and advancing practical applications in superconducting quantum computing.
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Submitted 14 June, 2026; v1 submitted 23 December, 2025;
originally announced December 2025.
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Magic state cultivation on a superconducting quantum processor
Authors:
Emma Rosenfeld,
Craig Gidney,
Gabrielle Roberts,
Alexis Morvan,
Nathan Lacroix,
Dvir Kafri,
Jeffrey Marshall,
Ming Li,
Volodymyr Sivak,
Dmitry Abanin,
Amira Abbas,
Rajeev Acharya,
Laleh Aghababaie Beni,
Georg Aigeldinger,
Ross Alcaraz,
Sayra Alcaraz,
Trond I. Andersen,
Markus Ansmann,
Frank Arute,
Kunal Arya,
Walt Askew,
Nikita Astrakhantsev,
Juan Atalaya,
Ryan Babbush,
Brian Ballard
, et al. (270 additional authors not shown)
Abstract:
Fault-tolerant quantum computing requires a universal gate set, but the necessary non-Clifford gates represent a significant resource cost for most quantum error correction architectures. Magic state cultivation offers an efficient alternative to resource-intensive distillation protocols; however, testing the proposal's assumptions represents a challenging departure from quantum memory experiments…
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Fault-tolerant quantum computing requires a universal gate set, but the necessary non-Clifford gates represent a significant resource cost for most quantum error correction architectures. Magic state cultivation offers an efficient alternative to resource-intensive distillation protocols; however, testing the proposal's assumptions represents a challenging departure from quantum memory experiments. We present an experimental study of magic state cultivation on a superconducting quantum processor. We implement cultivation, including code-switching into a surface code, and develop a fault-tolerant measurement protocol to bound the magic state fidelity. Cultivation reduces the error by a factor of 40, with a state fidelity of 0.9999(1) (retaining 8% of attempts). Our results experimentally establish magic state cultivation as a viable solution to one of quantum computing's most significant challenges.
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Submitted 15 December, 2025;
originally announced December 2025.
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Quantum-Classical Separation in Bounded-Resource Tasks Arising from Measurement Contextuality
Authors:
Shashwat Kumar,
Eliott Rosenberg,
Alejandro Grajales Dau,
Rodrigo Cortinas,
Dmitri Maslov,
Richard Oliver,
Adam Zalcman,
Matthew Neeley,
Alice Pagano,
Aaron Szasz,
Ilya Drozdov,
Zlatko Minev,
Craig Gidney,
Noureldin Yosri,
Stijn J. de Graaf,
Aniket Maiti,
Dmitry Abanin,
Rajeev Acharya,
Laleh Aghababaie Beni,
Georg Aigeldinger,
Ross Alcaraz,
Sayra Alcaraz,
Trond I. Andersen,
Markus Ansmann,
Frank Arute
, et al. (258 additional authors not shown)
Abstract:
The prevailing view is that quantum phenomena can be harnessed to tackle certain problems beyond the reach of classical approaches. Quantifying this capability as a quantum-classical separation and demonstrating it on current quantum processors has remained elusive. Using a superconducting qubit processor, we show that quantum contextuality enables certain tasks to be performed with success probab…
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The prevailing view is that quantum phenomena can be harnessed to tackle certain problems beyond the reach of classical approaches. Quantifying this capability as a quantum-classical separation and demonstrating it on current quantum processors has remained elusive. Using a superconducting qubit processor, we show that quantum contextuality enables certain tasks to be performed with success probabilities beyond classical limits. With a few qubits, we illustrate quantum contextuality with the magic square game, as well as quantify it through a Kochen--Specker--Bell inequality violation. To examine many-body contextuality, we implement the N-player GHZ game and separately solve a 2D hidden linear function problem, exceeding classical success rate in both. Our work proposes novel ways to benchmark quantum processors using contextuality-based algorithms.
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Submitted 1 December, 2025;
originally announced December 2025.
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Reinforcement Learning Control of Quantum Error Correction
Authors:
Volodymyr Sivak,
Alexis Morvan,
Michael Broughton,
Rodrigo G. Cortiñas,
Johannes Bausch,
Andrew W. Senior,
Matthew Neeley,
Alec Eickbusch,
Noah Shutty,
Laleh Aghababaie Beni,
James S. Spencer,
Francisco J. H Heras,
Thomas Edlich,
Dmitry Abanin,
Amira Abbas,
Rajeev Acharya,
Georg Aigeldinger,
Ross Alcaraz,
Sayra Alcaraz,
Trond I. Andersen,
Markus Ansmann,
Frank Arute,
Kunal Arya,
Walt Askew,
Nikita Astrakhantsev
, et al. (274 additional authors not shown)
Abstract:
Quantum error correction (QEC) is the primary strategy for protecting a quantum computer from the environment. Its prerequisite is that errors must remain sufficiently rare, which requires perpetually adapting the computer's control parameters to the drifting environment conditions. The current solution to this problem is to terminate the entire quantum computation for recalibration, but it is inc…
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Quantum error correction (QEC) is the primary strategy for protecting a quantum computer from the environment. Its prerequisite is that errors must remain sufficiently rare, which requires perpetually adapting the computer's control parameters to the drifting environment conditions. The current solution to this problem is to terminate the entire quantum computation for recalibration, but it is incompatible with the long runtimes of future quantum algorithms. We address this challenge by unifying calibration with computation. We grant the QEC process a dual role: its error detection events are not only used to correct the logical quantum state, but are also repurposed as a learning signal, teaching a reinforcement learning (RL) agent to continuously steer the control parameters and stabilize the quantum system during computation. We experimentally demonstrate this framework on a Willow superconducting processor, improving the logical stability of the surface code 3.5-fold against injected drift. By synthesizing our full suite of technological advances, we achieve record performance of the surface and color codes, with average logical error per cycle of $7.72(9)\times10^{-4}$ and $8.19(14)\times10^{-3}$ respectively. Numerical simulations of large codes with tens of thousands of control parameters confirm the scalability of our RL framework, revealing an optimization speed that is independent of system size. This work thus enables a new paradigm: a quantum computer that learns from its errors and never stops computing.
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Submitted 19 June, 2026; v1 submitted 11 November, 2025;
originally announced November 2025.
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Quantum computation of molecular geometry via many-body nuclear spin echoes
Authors:
C. Zhang,
R. G. Cortiñas,
A. H. Karamlou,
N. Noll,
J. Provazza,
J. Bausch,
S. Shirobokov,
A. White,
M. Claassen,
S. H. Kang,
A. W. Senior,
N. Tomašev,
J. Gross,
K. Lee,
T. Schuster,
W. J. Huggins,
H. Celik,
A. Greene,
B. Kozlovskii,
F. J. H. Heras,
A. Bengtsson,
A. Grajales Dau,
I. Drozdov,
B. Ying,
W. Livingstone
, et al. (298 additional authors not shown)
Abstract:
Quantum-information-inspired experiments in nuclear magnetic resonance spectroscopy may yield a pathway towards determining molecular structure and properties that are otherwise challenging to learn. We measure out-of-time-ordered correlators (OTOCs) [1-4] on two organic molecules suspended in a nematic liquid crystal, and investigate the utility of this data in performing structural learning task…
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Quantum-information-inspired experiments in nuclear magnetic resonance spectroscopy may yield a pathway towards determining molecular structure and properties that are otherwise challenging to learn. We measure out-of-time-ordered correlators (OTOCs) [1-4] on two organic molecules suspended in a nematic liquid crystal, and investigate the utility of this data in performing structural learning tasks. We use OTOC measurements to augment molecular dynamics models, and to correct for known approximations in the underlying force fields. We demonstrate the utility of OTOCs in these models by estimating the mean ortho-meta H-H distance of toluene and the mean dihedral angle of 3',5'-dimethylbiphenyl, achieving similar accuracy and precision to independent spectroscopic measurements of both quantities. To ameliorate the apparent exponential classical cost of interpreting the above OTOC data, we simulate the molecular OTOCs on a Willow superconducting quantum processor, using AlphaEvolve-optimized [5] quantum circuits and arbitrary-angle fermionic simulation gates. We implement novel zero-noise extrapolation techniques based on the Pauli pathing model of operator dynamics [6], to repeat the learning experiments with root-mean-square error $0.05$ over all circuits used. Our work highlights a computational protocol to interpret many-body echoes from nuclear magnetic systems using low resource quantum computation.
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Submitted 22 October, 2025;
originally announced October 2025.
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A Linear Quantum Coupler for Clean Bosonic Control
Authors:
Aniket Maiti,
John W. O. Garmon,
Yao Lu,
Alessandro Miano,
Luigi Frunzio,
Robert J. Schoelkopf
Abstract:
Quantum computing with superconducting circuits relies on high-fidelity driven nonlinear processes. An ideal quantum nonlinearity would selectively activate desired coherent processes at high strength, without activating parasitic mixing products or introducing additional decoherence. The wide bandwidth of the Josephson nonlinearity makes this difficult, with undesired drive-induced transitions an…
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Quantum computing with superconducting circuits relies on high-fidelity driven nonlinear processes. An ideal quantum nonlinearity would selectively activate desired coherent processes at high strength, without activating parasitic mixing products or introducing additional decoherence. The wide bandwidth of the Josephson nonlinearity makes this difficult, with undesired drive-induced transitions and decoherence limiting qubit readout, gates, couplers, and amplifiers. Significant strides have been recently made into building better `quantum mixers', with promise being shown by Kerr-free three-wave mixers that suppress driven frequency shifts, and balanced quantum mixers that explicitly forbid a significant fraction of parasitic processes. We propose a novel mixer that combines both these strengths, with engineered selection rules that make it essentially linear (not just Kerr-free) when idle, and activate clean parametric processes even when driven at high strength. Further, its ideal Hamiltonian is simple to analyze analytically, and we show that this ideal behavior is first-order insensitive to dominant experimental imperfections. We expect this mixer to allow significant advances in high-Q control, readout, and amplification.
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Submitted 13 November, 2025; v1 submitted 29 January, 2025;
originally announced January 2025.
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Strategies and trade-offs for controllability and memory time of ultra-high-quality microwave cavities in circuit QED
Authors:
Iivari Pietikäinen,
Ondřej Černotík,
Alec Eickbusch,
Aniket Maiti,
John W. O. Garmon,
Radim Filip,
Steven M. Girvin
Abstract:
Three-dimensional microwave cavity resonators have been shown to reach lifetimes of the order of a second by maximizing the cavity volume relative to its surface, using better materials, and improving surface treatments. Such cavities represent an ideal platform for quantum computing with bosonic qubits, but their efficient control remains an outstanding problem since the large mode volume results…
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Three-dimensional microwave cavity resonators have been shown to reach lifetimes of the order of a second by maximizing the cavity volume relative to its surface, using better materials, and improving surface treatments. Such cavities represent an ideal platform for quantum computing with bosonic qubits, but their efficient control remains an outstanding problem since the large mode volume results in inefficient coupling to nonlinear elements used for their control. Moreover, this coupling induces additional cavity decay via the inverse Purcell effect which can easily destroy the advantage of a long intrinsic lifetime. Here, we discuss conditions on, and protocols for, efficient utilization of these ultra-high-quality microwave cavities as memories for conventional superconducting qubits. We show that, surprisingly, efficient write and read operations with ultra-high-quality cavities does not require similar quality factors for the qubits and other nonlinear elements used to control them. Through a combination of analytical and numerical calculations, we demonstrate that efficient coupling to cavities with second-scale lifetime is possible with state-of-the-art transmon and SNAIL devices and outline a route towards controlling cavities with even higher quality factors. Our work explores a potentially viable roadmap towards using ultra-high-quality microwave cavity resonators for storing and processing information encoded in bosonic qubits.
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Submitted 23 March, 2024; v1 submitted 4 March, 2024;
originally announced March 2024.
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Demonstrating a superconducting dual-rail cavity qubit with erasure-detected logical measurements
Authors:
Kevin S. Chou,
Tali Shemma,
Heather McCarrick,
Tzu-Chiao Chien,
James D. Teoh,
Patrick Winkel,
Amos Anderson,
Jonathan Chen,
Jacob Curtis,
Stijn J. de Graaf,
John W. O. Garmon,
Benjamin Gudlewski,
William D. Kalfus,
Trevor Keen,
Nishaad Khedkar,
Chan U Lei,
Gangqiang Liu,
Pinlei Lu,
Yao Lu,
Aniket Maiti,
Luke Mastalli-Kelly,
Nitish Mehta,
Shantanu O. Mundhada,
Anirudh Narla,
Taewan Noh
, et al. (9 additional authors not shown)
Abstract:
A critical challenge in developing scalable error-corrected quantum systems is the accumulation of errors while performing operations and measurements. One promising approach is to design a system where errors can be detected and converted into erasures. Such a system utilizing erasure qubits are known to have relaxed requirements for quantum error correction. A recent proposal aims to do this usi…
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A critical challenge in developing scalable error-corrected quantum systems is the accumulation of errors while performing operations and measurements. One promising approach is to design a system where errors can be detected and converted into erasures. Such a system utilizing erasure qubits are known to have relaxed requirements for quantum error correction. A recent proposal aims to do this using a dual-rail encoding with superconducting cavities. However, experimental characterization and demonstration of a dual-rail cavity qubit has not yet been realized. In this work, we implement such a dual-rail cavity qubit; we demonstrate a projective logical measurement with integrated erasure detection and use it to measure dual-rail qubit idling errors. We measure logical state preparation and measurement errors at the $0.01\%$-level and detect over $99\%$ of cavity decay events as erasures. We use the precision of this new measurement protocol to distinguish different types of errors in this system, finding that while decay errors occur with probability $\sim 0.2\%$ per microsecond, phase errors occur 6 times less frequently and bit flips occur at least 140 times less frequently. These findings represent the first confirmation of the expected error hierarchy necessary to concatenate dual-rail erasure qubits into a highly efficient erasure code.
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Submitted 13 October, 2023; v1 submitted 6 July, 2023;
originally announced July 2023.
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High-fidelity parametric beamsplitting with a parity-protected converter
Authors:
Yao Lu,
Aniket Maiti,
John W. O. Garmon,
Suhas Ganjam,
Yaxing Zhang,
Jahan Claes,
Luigi Frunzio,
S. M. Girvin,
Robert J. Schoelkopf
Abstract:
Fast, high-fidelity operations between microwave resonators are an important tool for bosonic quantum computation and simulation with superconducting circuits. An attractive approach for implementing these operations is to couple these resonators via a nonlinear converter and actuate parametric processes with RF drives. It can be challenging to make these processes simultaneously fast and high fid…
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Fast, high-fidelity operations between microwave resonators are an important tool for bosonic quantum computation and simulation with superconducting circuits. An attractive approach for implementing these operations is to couple these resonators via a nonlinear converter and actuate parametric processes with RF drives. It can be challenging to make these processes simultaneously fast and high fidelity, since this requires introducing strong drives without activating parasitic processes or introducing additional decoherence channels. We show that in addition to a careful management of drive frequencies and the spectrum of environmental noise, leveraging the inbuilt symmetries of the converter Hamiltonian can suppress unwanted nonlinear interactions, preventing converter-induced decoherence. We demonstrate these principles using a differentially-driven DC-SQUID as our converter, coupled to two high-Q microwave cavities. Using this architecture, we engineer a highly-coherent beamsplitter and fast ($\sim$ 100 ns) swaps between the cavities, limited primarily by their intrinsic single-photon loss. We characterize this beamsplitter in the cavities' joint single-photon subspace, and show that we can detect and post-select photon loss events to achieve a beamsplitter gate fidelity exceeding 99.98$\%$, which to our knowledge far surpasses the current state of the art.
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Submitted 28 September, 2023; v1 submitted 1 March, 2023;
originally announced March 2023.
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Dual-rail encoding with superconducting cavities
Authors:
James D. Teoh,
Patrick Winkel,
Harshvardhan K. Babla,
Benjamin J. Chapman,
Jahan Claes,
Stijn J. de Graaf,
John W. O. Garmon,
William D. Kalfus,
Yao Lu,
Aniket Maiti,
Kaavya Sahay,
Neel Thakur,
Takahiro Tsunoda,
Sophia H. Xue,
Luigi Frunzio,
Steven M. Girvin,
Shruti Puri,
Robert J. Schoelkopf
Abstract:
The design of quantum hardware that reduces and mitigates errors is essential for practical quantum error correction (QEC) and useful quantum computation. To this end, we introduce the circuit-Quantum Electrodynamics (QED) dual-rail qubit in which our physical qubit is encoded in the single-photon subspace of two superconducting microwave cavities. The dominant photon loss errors can be detected a…
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The design of quantum hardware that reduces and mitigates errors is essential for practical quantum error correction (QEC) and useful quantum computation. To this end, we introduce the circuit-Quantum Electrodynamics (QED) dual-rail qubit in which our physical qubit is encoded in the single-photon subspace of two superconducting microwave cavities. The dominant photon loss errors can be detected and converted into erasure errors, which are in general much easier to correct. In contrast to linear optics, a circuit-QED implementation of the dual-rail code offers unique capabilities. Using just one additional transmon ancilla per dual-rail qubit, we describe how to perform a gate-based set of universal operations that includes state preparation, logical readout, and parametrizable single and two-qubit gates. Moreover, first-order hardware errors in the cavities and the transmon can be detected and converted to erasure errors in all operations, leaving background Pauli errors that are orders of magnitude smaller. Hence, the dual-rail cavity qubit exhibits a favorable hierarchy of error rates and is expected to perform well below the relevant QEC thresholds with today's coherence times.
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Submitted 16 October, 2023; v1 submitted 22 December, 2022;
originally announced December 2022.