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We present a systematic investigation of deep learning methods applied to quantum error mitigation of noisy output probability distributions from measured quantum circuits. We compare different architectures, from fully connected neural…

Classical simulation of noisy quantum circuits is essential for understanding quantum computing experiments. It enables scalable error characterization, analysis of how noise impacts quantum algorithms, and optimized implementations of…

量子物理 · 物理学 2025-04-22 Ashe Miller , Corey Ostrove , Jordan Hines , Robin Blume-Kohout , Kevin Young , Timothy Proctor

There has been tremendous progress in the physical realization of quantum computing hardware in recent times, bringing us closer than ever before to realizing the promise of quantum computing. However, noise continues to pose a crucial…

A significant problem for current quantum computers is noise. While there are many distinct noise channels, the depolarizing noise model often appropriately describes average noise for large circuits involving many qubits and gates. We…

Understanding the effects of noise on quantum computations is fundamental to the development of quantum hardware and quantum algorithms. Simulation tools are essential for quantitatively modelling these effects, yet unless artificial…

量子物理 · 物理学 2025-10-07 Anthony P. Thompson , Arie Soeteman , Chris Cade , Ido Niesen

Measuring global quantum properties-such as the fidelity to complex multipartite states-is both an essential and experimentally challenging task. Classical shadow estimation offers favorable sample complexity, but typically relies on…

量子物理 · 物理学 2026-02-11 Qingyue Zhang , Dayue Qin , Zhou You , Feng Xu , Jens Eisert , You Zhou

We investigate the amount of noise required to turn a universal quantum gate set into one that can be efficiently modelled classically. This question is useful for providing upper bounds on fault tolerant thresholds, and for understanding…

量子物理 · 物理学 2007-05-23 S. Virmani , Susana F. Huelga , Martin B. Plenio

This paper presents a comparison of several Convolutional Neural Network (CNN) models for extracting target signals in highly noisy measurement conditions. Four CNN architectures were investigated. The first comprises six consecutive…

信号处理 · 电气工程与系统科学 2024-10-11 Andrea Faúndez Quezada , Salvatore La Cavera , Sidahmed A Abayzeed

The truncated singular value decomposition (SVD) of the measurement matrix is the optimal solution to the_representation_ problem of how to best approximate a noisy measurement matrix using a low-rank matrix. Here, we consider the…

统计理论 · 数学 2014-04-21 Raj Rao Nadakuditi

Quantum sensing is an important application of emerging quantum technologies. We explore whether a hybrid system of quantum sensors and quantum circuits can surpass the classical limit of sensing. In particular, we use optimization…

Sample-based quantum diagonalization (SQD) is an algorithm for hybrid quantum-classical molecular simulation that has been of broad interest for application with noisy intermediate scale quantum (NISQ) devices. However, SQD does not always…

量子物理 · 物理学 2025-12-05 L. Andrew Wray , Cheng-Ju Lin , Vincent Su , Hrant Gharibyan

As quantum processors grow in scale and reliability, the need for efficient quantum gate decomposition of circuits to a set of specific available gates, becomes ever more critical. The decomposition of a particular algorithm into a sequence…

量子物理 · 物理学 2025-01-30 Jonathan Nemirovsky , Maya Chuchem , Yotam Shapira

Variational algorithms are a promising paradigm for utilizing near-term quantum devices for modeling electronic states of molecular systems. However, previous bounds on the measurement time required have suggested that the application of…

Noisy, intermediate-scale quantum computers come with intrinsic limitations in terms of the number of qubits (circuit "width") and decoherence time (circuit "depth") they can have. Here, for the first time, we demonstrate a recently…

量子物理 · 物理学 2020-09-02 Thomas Ayral , François-Marie Le Régent , Zain Saleem , Yuri Alexeev , Martin Suchara

The first generation of multi-qubit quantum technologies will consist of noisy, intermediate-scale devices for which active error correction remains out of reach. To exploit such devices, it is thus imperative to use passive error…

Undesired coupling to the surrounding environment destroys long-range correlations on quantum processors and hinders the coherent evolution in the nominally available computational space. This incoherent noise is an outstanding challenge to…

量子物理 · 物理学 2024-11-07 A. Morvan , B. Villalonga , X. Mi , S. Mandrà , A. Bengtsson , P. V. Klimov , Z. Chen , S. Hong , C. Erickson , I. K. Drozdov , J. Chau , G. Laun , R. Movassagh , A. Asfaw , L. T. A. N. Brandão , R. Peralta , D. Abanin , R. Acharya , R. Allen , T. I. Andersen , K. Anderson , M. Ansmann , F. Arute , K. Arya , J. Atalaya , J. C. Bardin , A. Bilmes , G. Bortoli , A. Bourassa , J. Bovaird , L. Brill , M. Broughton , B. B. Buckley , D. A. Buell , T. Burger , B. Burkett , N. Bushnell , J. Campero , H. S. Chang , B. Chiaro , D. Chik , C. Chou , J. Cogan , R. Collins , P. Conner , W. Courtney , A. L. Crook , B. Curtin , D. M. Debroy , A. Del Toro Barba , S. Demura , A. Di Paolo , A. Dunsworth , L. Faoro , E. Farhi , R. Fatemi , V. S. Ferreira , L. Flores Burgos , E. Forati , A. G. Fowler , B. Foxen , G. Garcia , E. Genois , W. Giang , C. Gidney , D. Gilboa , M. Giustina , R. Gosula , A. Grajales Dau , J. A. Gross , S. Habegger , M. C. Hamilton , M. Hansen , M. P. Harrigan , S. D. Harrington , P. Heu , M. R. Hoffmann , T. Huang , A. Huff , W. J. Huggins , L. B. Ioffe , S. V. Isakov , J. Iveland , E. Jeffrey , Z. Jiang , C. Jones , P. Juhas , D. Kafri , T. Khattar , M. Khezri , M. Kieferová , S. Kim , A. Kitaev , A. R. Klots , A. N. Korotkov , F. Kostritsa , J. M. Kreikebaum , D. Landhuis , P. Laptev , K. -M. Lau , L. Laws , J. Lee , K. W. Lee , Y. D. Lensky , B. J. Lester , A. T. Lill , W. Liu , W. P. Livingston , A. Locharla , F. D. Malone , O. Martin , S. Martin , J. R. McClean , M. McEwen , K. C. Miao , A. Mieszala , S. Montazeri , W. Mruczkiewicz , O. Naaman , M. Neeley , C. Neill , A. Nersisyan , M. Newman , J. H. Ng , A. Nguyen , M. Nguyen , M. Yuezhen Niu , T. E. O'Brien , S. Omonije , A. Opremcak , A. Petukhov , R. Potter , L. P. Pryadko , C. Quintana , D. M. Rhodes , E. Rosenberg , C. Rocque , P. Roushan , N. C. Rubin , N. Saei , D. Sank , K. Sankaragomathi , K. J. Satzinger , H. F. Schurkus , C. Schuster , M. J. Shearn , A. Shorter , N. Shutty , V. Shvarts , V. Sivak , J. Skruzny , W. C. Smith , R. D. Somma , G. Sterling , D. Strain , M. Szalay , D. Thor , A. Torres , G. Vidal , C. Vollgraff Heidweiller , T. White , B. W. K. Woo , C. Xing , Z. J. Yao , P. Yeh , J. Yoo , G. Young , A. Zalcman , Y. Zhang , N. Zhu , N. Zobrist , E. G. Rieffel , R. Biswas , R. Babbush , D. Bacon , J. Hilton , E. Lucero , H. Neven , A. Megrant , J. Kelly , I. Aleiner , V. Smelyanskiy , K. Kechedzhi , Y. Chen , S. Boixo

Shallow quantum circuits are believed to be the most promising candidates for achieving early practical quantum advantage - this has motivated the development of a broad range of error mitigation techniques whose performance generally…

量子物理 · 物理学 2024-02-13 Jonathan Foldager , Bálint Koczor

Quantum computation promises to advance a wide range of computational tasks. However, current quantum hardware suffers from noise and is too small for error correction. Thus, accurately utilizing noisy quantum computers strongly relies on…

最优化与控制 · 数学 2024-12-16 Friedrich Wagner , Daniel J. Egger , Frauke Liers

We study quantum-classical separations between classical and quantum supervised learning models based on constant depth (i.e., shallow) circuits, in scenarios with and without noises. We construct a classification problem defined by a…

量子物理 · 物理学 2024-05-03 Zhihan Zhang , Weiyuan Gong , Weikang Li , Dong-Ling Deng

Variational quantum computing offers a powerful framework with applications across diverse fields such as quantum chemistry, machine learning, and optimization. However, its scalability is hindered by the exponential concentration of the…

量子物理 · 物理学 2025-05-05 Giulio Crognaletti , Michele Grossi , Angelo Bassi