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Quantum machine learning (QML) leverages quantum computing for classical inference, furnishes the processing of quantum data with machine-learning methods, and provides quantum algorithms adapted to noisy devices. Typically, QML proposals…

Quantum Physics · Physics 2026-05-11 Luis Mantilla Calderón , Robert Raussendorf , Polina Feldmann , Dmytro Bondarenko

Decoding low-density parity-check codes is critical in many current technologies, such as fifth-generation (5G) wireless networks and satellite communications. The belief propagation algorithm allows for fast decoding due to the low density…

Quantum Physics · Physics 2024-12-12 Sheila M. Perez-Garcia , Ashley Montanaro

Color codes are promising quantum error correction (QEC) codes because they have an advantage over surface codes in that all Clifford gates can be implemented transversally. However, thresholds of color codes under circuit-level noise are…

Quantum Physics · Physics 2024-09-18 Yugo Takada , Keisuke Fujii

Quantum Error Correction (QEC) codes store information reliably in logical qubits by encoding them in a larger number of less reliable qubits. The surface code, known for its high resilience to physical errors, is a leading candidate for…

Quantum Physics · Physics 2025-06-13 Satvik Maurya , Swamit Tannu

Neural-network decoders can achieve a lower logical error rate compared to conventional decoders, like minimum-weight perfect matching, when decoding the surface code. Furthermore, these decoders require no prior information about the…

Quantum Physics · Physics 2025-07-30 Boris M. Varbanov , Marc Serra-Peralta , David Byfield , Barbara M. Terhal

Quantum information needs to be protected by quantum error-correcting codes due to imperfect physical devices and operations. One would like to have an efficient and high-performance decoding procedure for the class of quantum stabilizer…

Quantum Physics · Physics 2023-07-18 Kao-Yueh Kuo , Ching-Yi Lai

Quantum computers face significant challenges from quantum deviations or coherent noise, particularly during gate operations, which pose a complex threat to the efficacy of quantum error correction (QEC) protocols. In this study, we…

Quantum Physics · Physics 2025-03-11 Yuanchen Zhao , Dong E. Liu

Error-correcting codes were invented to correct errors on noisy communication channels. Quantum error correction (QEC), however, may have a wider range of uses, including information transmission, quantum simulation/computation, and…

Quantum Physics · Physics 2022-08-05 Ningping Cao , Junan Lin , David Kribs , Yiu-Tung Poon , Bei Zeng , Raymond Laflamme

With the development of quantum hardware bringing the error-corrected quantum circuits to the near future, the lack of an efficient polynomial-time decoding algorithms for logical circuits presents a critical bottleneck. While quantum…

Quantum Physics · Physics 2025-04-25 Yiqing Zhou , Chao Wan , Yichen Xu , Jin Peng Zhou , Kilian Q. Weinberger , Eun-Ah Kim

Neural networks (NNs) are currently changing the computational paradigm on how to combine data with mathematical laws in physics and engineering in a profound way, tackling challenging inverse and ill-posed problems not solvable with…

Machine Learning · Computer Science 2023-02-08 Apostolos F Psaros , Xuhui Meng , Zongren Zou , Ling Guo , George Em Karniadakis

We propose and analyze a hierarchical quantum error correction (QEC) scheme that concatenates hypergraph product (HGP) codes with rotated surface codes, which is compatible with quantum computers with only nearest-neighbor interactions. The…

Quantum Physics · Physics 2025-06-26 Junichi Haruna , Keisuke Fujii

The promise of quantum computing is closer to reality today than ever before, thanks to rapid progress in the development of quantum hardware. Even as qubit lifetimes and gate fidelities continue to improve, realizing robust, fault-tolerant…

Quantum Physics · Physics 2026-04-02 Vismay Joshi , Anubhab Rudra , Sourav Dutta , Siddharth Dhomkar , Prabha Mandayam

Quantum error correction (QEC) for fault-tolerant quantum computing requires a balanced decoding solution that offers high performance, low complexity, and low latency. However, the de facto standard, belief propagation (BP) combined with…

Quantum Physics · Physics 2026-05-04 Hee-Youl Kwak , Seong-Joon Park , Hyunwoo Jung , Jeongseok Ha , Jae-Won Kim

Quantum error correction is crucial for universal fault-tolerant quantum computing. Highly accurate and low-time-complexity decoding algorithms play an indispensable role in ensuring quantum error correction works effectively. Among…

Quantum Physics · Physics 2025-07-01 Jiahan Chen , Zhengzhong Yi , Zhipeng Liang , Xuan Wang

Quantum error correction (QEC) underpins practical fault-tolerant quantum computing (FTQC) by addressing the fragility of quantum states and mitigating decoherence-induced errors. As quantum devices scale, integrating robust QEC protocols…

Quantum Physics · Physics 2025-07-17 Archisman Ghosh , Avimita Chatterjee , Swaroop Ghosh

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 error correction (QEC) is essential for building fault-tolerant quantum computers, requiring decoders that are simultaneously accurate, fast, and scalable. Most state-of-the-art neural decoders achieve high accuracy but process the…

Quantum Physics · Physics 2026-05-22 Samira Sayedsalehi , Nader Bagherzadeh , Maxim Shcherbakov , Jean-Luc Gaudiot

Superconducting quantum processor units (QPUs) are incapable of producing massive datasets for quantum error correction (QEC) because of hardware limitations. Thus, QEC decoders heavily depend on synthetic data from qubit error models.…

Quantum Physics · Physics 2026-04-27 Songhuan He , Yifei Cui , Bo Liu , Kai Guo , Cheng Wang

Quantum error correction provides a path to reach practical quantum computing by combining multiple physical qubits into a logical qubit, where the logical error rate is suppressed exponentially as more qubits are added. However, this…

Quantum Physics · Physics 2025-04-08 Rajeev Acharya , Laleh Aghababaie-Beni , Igor Aleiner , Trond I. Andersen , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Nikita Astrakhantsev , Juan Atalaya , Ryan Babbush , Dave Bacon , Brian Ballard , Joseph C. Bardin , Johannes Bausch , Andreas Bengtsson , Alexander Bilmes , Sam Blackwell , Sergio Boixo , Gina Bortoli , Alexandre Bourassa , Jenna Bovaird , Leon Brill , Michael Broughton , David A. Browne , Brett Buchea , Bob B. Buckley , David A. Buell , Tim Burger , Brian Burkett , Nicholas Bushnell , Anthony Cabrera , Juan Campero , Hung-Shen Chang , Yu Chen , Zijun Chen , Ben Chiaro , Desmond Chik , Charina Chou , Jahan Claes , Agnetta Y. Cleland , Josh Cogan , Roberto Collins , Paul Conner , William Courtney , Alexander L. Crook , Ben Curtin , Sayan Das , Alex Davies , Laura De Lorenzo , Dripto M. Debroy , Sean Demura , Michel Devoret , Agustin Di Paolo , Paul Donohoe , Ilya Drozdov , Andrew Dunsworth , Clint Earle , Thomas Edlich , Alec Eickbusch , Aviv Moshe Elbag , Mahmoud Elzouka , Catherine Erickson , Lara Faoro , Edward Farhi , Vinicius S. Ferreira , Leslie Flores Burgos , Ebrahim Forati , Austin G. Fowler , Brooks Foxen , Suhas Ganjam , Gonzalo Garcia , Robert Gasca , Élie Genois , William Giang , Craig Gidney , Dar Gilboa , Raja Gosula , Alejandro Grajales Dau , Dietrich Graumann , Alex Greene , Jonathan A. Gross , Steve Habegger , John Hall , Michael C. Hamilton , Monica Hansen , Matthew P. Harrigan , Sean D. Harrington , Francisco J. H. Heras , Stephen Heslin , Paula Heu , Oscar Higgott , Gordon Hill , Jeremy Hilton , George Holland , Sabrina Hong , Hsin-Yuan Huang , Ashley Huff , William J. Huggins , Lev B. Ioffe , Sergei V. Isakov , Justin Iveland , Evan Jeffrey , Zhang Jiang , Cody Jones , Stephen Jordan , Chaitali Joshi , Pavol Juhas , Dvir Kafri , Hui Kang , Amir H. Karamlou , Kostyantyn Kechedzhi , Julian Kelly , Trupti Khaire , Tanuj Khattar , Mostafa Khezri , Seon Kim , Paul V. Klimov , Andrey R. Klots , Bryce Kobrin , Pushmeet Kohli , Alexander N. Korotkov , Fedor Kostritsa , Robin Kothari , Borislav Kozlovskii , John Mark Kreikebaum , Vladislav D. Kurilovich , Nathan Lacroix , David Landhuis , Tiano Lange-Dei , Brandon W. Langley , Pavel Laptev , Kim-Ming Lau , Loïck Le Guevel , Justin Ledford , Kenny Lee , Yuri D. Lensky , Shannon Leon , Brian J. Lester , Wing Yan Li , Yin Li , Alexander T. Lill , Wayne Liu , William P. Livingston , Aditya Locharla , Erik Lucero , Daniel Lundahl , Aaron Lunt , Sid Madhuk , Fionn D. Malone , Ashley Maloney , Salvatore Mandrá , Leigh S. Martin , Steven Martin , Orion Martin , Cameron Maxfield , Jarrod R. McClean , Matt McEwen , Seneca Meeks , Anthony Megrant , Xiao Mi , Kevin C. Miao , Amanda Mieszala , Reza Molavi , Sebastian Molina , Shirin Montazeri , Alexis Morvan , Ramis Movassagh , Wojciech Mruczkiewicz , Ofer Naaman , Matthew Neeley , Charles Neill , Ani Nersisyan , Hartmut Neven , Michael Newman , Jiun How Ng , Anthony Nguyen , Murray Nguyen , Chia-Hung Ni , Thomas E. O'Brien , William D. Oliver , Alex Opremcak , Kristoffer Ottosson , Andre Petukhov , Alex Pizzuto , John Platt , Rebecca Potter , Orion Pritchard , Leonid P. Pryadko , Chris Quintana , Ganesh Ramachandran , Matthew J. Reagor , David M. Rhodes , Gabrielle Roberts , Eliott Rosenberg , Emma Rosenfeld , Pedram Roushan , Nicholas C. Rubin , Negar Saei , Daniel Sank , Kannan Sankaragomathi , Kevin J. Satzinger , Henry F. Schurkus , Christopher Schuster , Andrew W. Senior , Michael J. Shearn , Aaron Shorter , Noah Shutty , Vladimir Shvarts , Shraddha Singh , Volodymyr Sivak , Jindra Skruzny , Spencer Small , Vadim Smelyanskiy , W. Clarke Smith , Rolando D. Somma , Sofia Springer , George Sterling , Doug Strain , Jordan Suchard , Aaron Szasz , Alex Sztein , Douglas Thor , Alfredo Torres , M. Mert Torunbalci , Abeer Vaishnav , Justin Vargas , Sergey Vdovichev , Guifre Vidal , Benjamin Villalonga , Catherine Vollgraff Heidweiller , Steven Waltman , Shannon X. Wang , Brayden Ware , Kate Weber , Theodore White , Kristi Wong , Bryan W. K. Woo , Cheng Xing , Z. Jamie Yao , Ping Yeh , Bicheng Ying , Juhwan Yoo , Noureldin Yosri , Grayson Young , Adam Zalcman , Yaxing Zhang , Ningfeng Zhu , Nicholas Zobrist