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As quantum computing advances towards practical applications, reducing errors remains a crucial frontier for developing near-term devices. Errors in the quantum gates and quantum state readout could result in noisy circuits, which would…

An important measure of the development of quantum computing platforms has been the simulation of increasingly complex physical systems. Prior to fault-tolerant quantum computing, robust error mitigation strategies are necessary to continue…

Quantum Physics · Physics 2023-11-07 T. E. O'Brien , G. Anselmetti , F. Gkritsis , V. E. Elfving , S. Polla , W. J. Huggins , O. Oumarou , K. Kechedzhi , D. Abanin , R. Acharya , I. Aleiner , R. Allen , T. I. Andersen , K. Anderson , M. Ansmann , F. Arute , K. Arya , A. Asfaw , J. Atalaya , D. Bacon , J. C. Bardin , A. Bengtsson , S. Boixo , G. Bortoli , A. Bourassa , J. Bovaird , L. Brill , M. Broughton , B. Buckley , D. A. Buell , T. Burger , B. Burkett , N. Bushnell , J. Campero , Y. Chen , Z. Chen , B. Chiaro , D. Chik , J. Cogan , R. Collins , P. Conner , W. Courtney , A. L. Crook , B. Curtin , D. M. Debroy , S. Demura , I. Drozdov , A. Dunsworth , C. Erickson , L. Faoro , E. Farhi , R. Fatemi , V. S. Ferreira , L. Flores Burgos , E. Forati , A. G. Fowler , B. Foxen , 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 , J. Hilton , M. R. Hoffmann , S. Hong , T. Huang , A. Huff , L. B. Ioffe , S. V. Isakov , J. Iveland , E. Jeffrey , Z. Jiang , C. Jones , P. Juhas , D. Kafri , J. Kelly , T. Khattar , M. Khezri , M. Kieferová , S. Kim , P. V. Klimov , A. R. Klots , R. Kothari , A. N. Korotkov , F. Kostritsa , J. M. Kreikebaum , D. Landhuis , P. Laptev , K. Lau , L. Laws , J. Lee , K. Lee , B. J. Lester , A. T. Lill , W. Liu , W. P. Livingston , A. Locharla , E. Lucero , F. D. Malone , S. Mandra , O. Martin , S. Martin , J. R. McClean , T. McCourt , M. McEwen , A. Megrant , X. Mi , A. Mieszala , K. C. Miao , M. Mohseni , S. Montazeri , A. Morvan , R. Movassagh , W. Mruczkiewicz , O. Naaman , M. Neeley , C. Neill , A. Nersisyan , H. Neven , M. Newman , J. H. Ng , A. Nguyen , M. Nguyen , M. Y. Niu , S. Omonije , A. Opremcak , A. Petukhov , R. Potter , L. P. Pryadko , C. Quintana , C. Rocque , P. Roushan , N. Saei , D. Sank , K. Sankaragomathi , K. J. Satzinger , H. F. Schurkus , C. Schuster , M. J. Shearn , A. Shorter , N. Shutty , V. Shvarts , J. Skruzny , V. Smelyanskiy , W. C. Smith , R. Somma , G. Sterling , D. Strain , M. Szalay , D. Thor , A. Torres , G. Vidal , B. Villalonga , 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 , C. Gogolin , R. Babbush , N. C. Rubin

Quantum error mitigation is a key concept for the development of practical applications based on current noisy intermediate scale quantum (NISQ) devices. One of the most promising methods is Richardson extrapolation to the zero noise limit.…

Quantum Physics · Physics 2023-01-04 Michael Krebsbach , Björn Trauzettel , Alessio Calzona

Quantum error mitigation (QEM) is essential for the noisy intermediate-scale quantum era, and will remain relevant for early fault-tolerant quantum computers, where logical error rates are still significant. However, most QEM methods incur…

Quantum Physics · Physics 2026-03-25 Pablo Díez-Valle , Gaurav Saxena , Jack S. Baker , Jun-Ho Lee , Thi Ha Kyaw

Quantum Error Mitigation (QEM) presents a promising near-term approach to reduce error when estimating expectation values in quantum computing. Here, we introduce QEM techniques tailored for quantum annealing, using Zero-Noise Extrapolation…

Stabilizer states are a central resource in quantum information processing, underpinning a wide range of applications. While they can be efficiently generated via Clifford circuits, the presence of coherent errors, such as small-angle…

Quantum Physics · Physics 2025-10-24 Giovanni Di Bartolomeo , Giulio Crognaletti , Angelo Bassi , Michele Vischi

Classification is a common task in machine learning. Random features (RFs) stand as a central technique for scalable learning algorithms based on kernel methods, and more recently proposed optimized random features, sampled depending on the…

Quantum Physics · Physics 2022-06-15 Hayata Yamasaki , Sho Sonoda

Quantum error correction (QEC) is an essential concept for any quantum information processing device. Typically, QEC is designed with minimal assumptions about the noise process; this generic assumption exacts a high cost in efficiency and…

Quantum Physics · Physics 2007-06-26 Andrew S. Fletcher

The performance of speech and events recognition systems significantly improved recently thanks to deep learning methods. However, some of these tasks remain challenging when algorithms are deployed on robots due to the unseen mechanical…

Audio and Speech Processing · Electrical Eng. & Systems 2023-03-08 Pierre-Olivier Lagacé , François Ferland , François Grondin

The Eastin-Knill theorem states that no quantum error correcting code can have a universal set of transversal gates. For CSS codes that can implement Clifford gates transversally it suffices to provide one additional non-Clifford gate, such…

Quantum Physics · Physics 2021-11-15 Christophe Piveteau , David Sutter , Sergey Bravyi , Jay M. Gambetta , Kristan Temme

Exploring quantum applications of near-term quantum devices is a rapidly growing field of quantum information science with both theoretical and practical interests. A leading paradigm to establish such near-term quantum applications is…

Quantum Physics · Physics 2022-08-16 Hao-Kai Zhang , Chengkai Zhu , Geng Liu , Xin Wang

Quantum error mitigation (QEM) strategies are essential for improving the precision and reliability of quantum chemistry algorithms on noisy intermediate-scale quantum devices. Reference-state error mitigation (REM) is a cost-effective…

Quantum Physics · Physics 2026-01-22 Hang Zou , Erika Magnusson , Hampus Brunander , Werner Dobrautz , Martin Rahm

Quantum computing is a game-changing technology for global academia, research centers and industries including computational science, mathematics, finance, pharmaceutical, materials science, chemistry and cryptography. Although it has seen…

Quantum Physics · Physics 2023-03-07 He-Liang Huang , Xiao-Yue Xu , Chu Guo , Guojing Tian , Shi-Jie Wei , Xiaoming Sun , Wan-Su Bao , Gui-Lu Long

Neural Networks are currently one of the most widely deployed machine learning algorithms. In particular, Convolutional Neural Networks (CNNs), are gaining popularity and are evaluated for deployment in safety critical applications such as…

Signal Processing · Electrical Eng. & Systems 2019-12-17 Giulio Gambardella , Johannes Kappauf , Michaela Blott , Christoph Doehring , Martin Kumm , Peter Zipf , Kees Vissers

We apply quantum error mitigation techniques to a variety of benchmark problems and quantum computers to evaluate the performance of quantum error mitigation in practice. To do so, we define an empirically motivated, resource-normalized…

Quantum Physics · Physics 2023-08-21 Vincent Russo , Andrea Mari , Nathan Shammah , Ryan LaRose , William J. Zeng

Quantum computers promise transformative speedups, but environmental noise destroys their fragile states. Conventional quantum error correction (QEC) encodes information redundantly across physical qubits, yet fails above a threshold of…

Quantum Physics · Physics 2026-05-11 Hikaru Wakaura , Taiki Tanimae

As fully fault-tolerant quantum computers capable of solving useful problems remain a distant goal, we anticipate an era of "early fault tolerance" where limited error correction is available. We propose a framework for designing early…

Given their potential to demonstrate near-term quantum advantage, variational quantum algorithms (VQAs) have been extensively studied. Although numerous techniques have been developed for VQA parameter optimization, it remains a significant…

Quantum Physics · Physics 2024-06-05 Zichang He , Bo Peng , Yuri Alexeev , Zheng Zhang

Mitigating measurement errors in quantum systems without relying on quantum error correction is of critical importance for the practical development of quantum technology. Deep learning-based quantum measurement error mitigation has…

Quantum Physics · Physics 2024-08-12 ChangWon Lee , Daniel K. Park

Quantum annealing (QA) is one of the efficient methods to calculate the ground-state energy of a problem Hamiltonian. In the absence of noise, QA can accurately estimate the ground-state energy if the adiabatic condition is satisfied.…

Quantum Physics · Physics 2022-10-18 Yuta Shingu , Tetsuro Nikuni , Shiro Kawabata , Yuichiro Matsuzaki
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