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Quantum noise fundamentally limits the utility of near-term quantum devices, making error mitigation essential for practical quantum computation. While traditional quantum error correction codes require substantial qubit overhead and…

Quantum Physics · Physics 2025-09-23 Karan Kendre

We introduce a theory of quantum error correction (QEC) for a subclass of states within a larger Hilbert space. In the standard theory of QEC, the set of all encoded states is formed by an arbitrary linear combination of the codewords.…

Quantum Physics · Physics 2022-07-13 Maximilian Reichert , Louis W. Tessler , Marcel Bergmann , Peter van Loock , Tim Byrnes

Large-scale, fault-tolerant quantum computations will be enabled by quantum error-correcting codes (QECC). This work presents the first systematic technique to test the accuracy and effectiveness of different QECC decoding schemes by…

Quantum Physics · Physics 2023-11-22 Arshpreet Singh Maan , Alexandru Paler

Quantum computers hold the promise of solving computational problems which are intractable using conventional methods. For fault-tolerant operation quantum computers must correct errors occurring due to unavoidable decoherence and limited…

Quantum computing (QC) promises significant advantages on certain hard computational tasks over classical computers. However, current quantum hardware, also known as noisy intermediate-scale quantum computers (NISQ), are still unable to…

Quantum Physics · Physics 2022-12-23 Elisha Siddiqui Matekole , Esther Ye , Ramya Iyer , Samuel Yen-Chi Chen

As quantum computing matures and moves toward broader accessibility through cloud-based platforms, ensuring the authenticity and integrity of quantum computations becomes an urgent concern. In this work, we propose a strategy to leverage…

Realizing the potential of quantum computing will require achieving sufficiently low logical error rates. Many applications call for error rates in the $10^{-15}$ regime, but state-of-the-art quantum platforms typically have physical error…

Quantum Physics · Physics 2022-07-19 Zijun Chen , Kevin J. Satzinger , Juan Atalaya , Alexander N. Korotkov , Andrew Dunsworth , Daniel Sank , Chris Quintana , Matt McEwen , Rami Barends , Paul V. Klimov , Sabrina Hong , Cody Jones , Andre Petukhov , Dvir Kafri , Sean Demura , Brian Burkett , Craig Gidney , Austin G. Fowler , Harald Putterman , Igor Aleiner , Frank Arute , Kunal Arya , Ryan Babbush , Joseph C. Bardin , Andreas Bengtsson , Alexandre Bourassa , Michael Broughton , Bob B. Buckley , David A. Buell , Nicholas Bushnell , Benjamin Chiaro , Roberto Collins , William Courtney , Alan R. Derk , Daniel Eppens , Catherine Erickson , Edward Farhi , Brooks Foxen , Marissa Giustina , Jonathan A. Gross , Matthew P. Harrigan , Sean D. Harrington , Jeremy Hilton , Alan Ho , Trent Huang , William J. Huggins , L. B. Ioffe , Sergei V. Isakov , Evan Jeffrey , Zhang Jiang , Kostyantyn Kechedzhi , Seon Kim , Fedor Kostritsa , David Landhuis , Pavel Laptev , Erik Lucero , Orion Martin , Jarrod R. McClean , Trevor McCourt , Xiao Mi , Kevin C. Miao , Masoud Mohseni , Wojciech Mruczkiewicz , Josh Mutus , Ofer Naaman , Matthew Neeley , Charles Neill , Michael Newman , Murphy Yuezhen Niu , Thomas E. O'Brien , Alex Opremcak , Eric Ostby , Bálint Pató , Nicholas Redd , Pedram Roushan , Nicholas C. Rubin , Vladimir Shvarts , Doug Strain , Marco Szalay , Matthew D. Trevithick , Benjamin Villalonga , Theodore White , Z. Jamie Yao , Ping Yeh , Adam Zalcman , Hartmut Neven , Sergio Boixo , Vadim Smelyanskiy , Yu Chen , Anthony Megrant , Julian Kelly

A fault-tolerant quantum computation requires an efficient means to detect and correct errors that accumulate in encoded quantum information. In the context of machine learning, neural networks are a promising new approach to quantum error…

Quantum Physics · Physics 2018-02-01 P. Baireuther , T. E. O'Brien , B. Tarasinski , C. W. J. Beenakker

Quantum error correction (QEC) is a crucial prerequisite for future large-scale quantum computation. Finding and analyzing new QEC codes, along with efficient decoding and fault-tolerance protocols, is central to this effort. Holographic…

Quantum Physics · Physics 2026-01-05 Junyu Fan , Matthew Steinberg , Alexander Jahn , Chunjun Cao , Aritra Sarkar , Sebastian Feld

Efficiently compiling quantum operations remains a major bottleneck in scaling quantum computing. Today's state-of-the-art methods achieve low compilation error by combining search algorithms with gradient-based parameter optimization, but…

Quantum Physics · Physics 2026-05-12 Florian Fürrutter , Zohim Chandani , Ikko Hamamura , Hans J. Briegel , Gorka Muñoz-Gil

Quantum error correction and quantum error detection necessitate syndrome measurements to detect errors. Performing syndrome measurements for each stabilizer generator can be a significant overhead, considering the fact that the readout…

Quantum Physics · Physics 2023-10-31 Kento Tsubouchi , Yasunari Suzuki , Yuuki Tokunaga , Nobuyuki Yoshioka , Suguru Endo

At the intersection of quantum computing and machine learning, quantum machine learning (QML) is poised to revolutionize artificial intelligence. However, the vulnerability of the current generation of quantum computers to noise and…

Quantum Physics · Physics 2026-01-13 Eromanga Adermann , Haiyue Kang , Martin Sevior , Muhammad Usman

Near-term quantum computers have been built as intermediate-scale quantum devices and are fragile against quantum noise effects, namely, NISQ devices. Traditional quantum-error-correcting codes are not implemented on such devices and to…

Quantum Physics · Physics 2024-03-18 Yusuke Hama , Hirofumi Nishi

Quantum error correction (QEC) is a crucial step towards long coherence times required for efficient quantum information processing (QIP). One major challenge in this direction concerns the fast real-time analysis of error syndrome…

Quantum Physics · Physics 2015-06-23 Joachim Cohen , Mazyar Mirrahimi

Protecting quantum information using quantum error correction (QEC) requires repeatedly measuring stabilizers to extract error syndromes that are used to identify and correct errors. Syndrome extraction data provides information about the…

Quantum Physics · Physics 2025-04-22 Robin Blume-Kohout , Kevin Young

Fast, reliable decoders are pivotal components for enabling fault-tolerant quantum computation. Neural network decoders like AlphaQubit have demonstrated significant potential, achieving higher accuracy than traditional human-designed…

Quantum Physics · Physics 2025-09-05 Kai Zhang , Situ Wang , Linghang Kong , Fang Zhang , Zhengfeng Ji , Jianxin Chen

Scalable realisation of quantum computing is reliant on the development of fault tolerant devices. Analysis of quantum error correction protocols typically considers incoherent noise models or noise-free syndrome measurements. While this is…

Quantum Physics · Physics 2026-05-29 Ben Harper , Azar C. Nakhl , Martin Sevior , Muhammad Usman

We propose DeCoDi, a debiasing procedure for text-to-image diffusion-based models that changes the inference procedure, does not significantly change image quality, has negligible compute overhead, and can be applied in any diffusion-based…

Discrete diffusion models are a powerful, emerging paradigm for code generation. They construct programs through iterative refinement of partially corrupted token sequences and enable parallel token refinement. Importantly, this paradigm…

Computation and Language · Computer Science 2026-05-19 Lize Shao , Michael Cardei , Zichen Xie , Ferdinando Fioretto , Wenxi Wang

Current approaches to fault-tolerant quantum computation will not enable useful quantum computation on near-term devices of 50 to 100 qubits. Leading proposals, such as the color code and surface code schemes, must devote a large fraction…

Quantum Physics · Physics 2017-11-08 Peter D. Johnson , Jonathan Romero , Jonathan Olson , Yudong Cao , Alán Aspuru-Guzik