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Quantum Error Correction (QEC) is one of the fundamental problems in quantum computer systems, which aims to detect and correct errors in the data qubits within quantum computers. Due to the presence of unreliable data qubits in existing…

Quantum Physics · Physics 2024-04-08 Yue Zhao

Quantum networks serve as the means to transmit information, encoded in quantum bits or qubits, between quantum processors that are physically separated. Given the instability of qubits, the design of such networks is challenging,…

Quantum Physics · Physics 2023-10-23 Tianjie Hu , Jindi Wu , Qun Li

Quantum error correction (QEC) is an essential element of physical quantum information processing systems. Most QEC efforts focus on extending classical error correction schemes to the quantum regime. The input to a noisy system is embedded…

Quantum Physics · Physics 2009-11-13 Andrew S. Fletcher , Peter W. Shor , Moe Z. Win

The development of practical, high-performance decoding algorithms reduces the resource cost of fault-tolerant quantum computing. Here we propose a decoder for the surface code that finds low-weight correction operators for errors produced…

Quantum Physics · Physics 2025-02-19 Asmae Benhemou , Kaavya Sahay , Lingling Lao , Benjamin J. Brown

The surface code is one of the leading quantum error correction codes for realizing large-scale fault-tolerant quantum computing (FTQC). One major challenge in realizing surface-code-based FTQC is the extremely large number of qubits…

Quantum Physics · Physics 2026-05-19 Kohei Fujiu , Shota Nagayama , Shin Nishio , Hideaki Kawaguchi , Takahiko Satoh

Noise is one of the central obstacles to building useful quantum computers, and quantum error correction (QEC) provides the framework for protecting quantum information against it. Unlike classical error correction, QEC must preserve…

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

Quantum error correction is essential for realizing scalable quantum computation. Among various approaches, low-density parity-check codes over higher-order Galois fields have shown promising performance due to their structured sparsity and…

Quantum Physics · Physics 2025-06-19 Kenta Kasai

The quest for universal superconducting quantum computing is hindered by noise and errors. It has been proven that Quantum Error Correction (QEC) codes will lay at the foundation of fault tolerant quantum computing. However, cosmic-ray…

Quantum Physics · Physics 2025-06-23 Marzio Vallero , Gioele Casagranda , Flavio Vella , Paolo Rech

Quantum error correction (QEC) is essential for scalable quantum computing, yet decoding errors via conventional algorithms result in limited accuracy (i.e., suppression of logical errors) and high overheads, both of which can be alleviated…

Quantum Physics · Physics 2025-10-09 Xiangjun Mi , Frank Mueller

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

Quantum computation and communication rely on the ability to manipulate quantum states robustly and with high fidelity. Thus, some form of error correction is needed to protect fragile quantum superposition states from corruption by…

The quantum computing devices of today have tens to hundreds of qubits that are highly susceptible to noise due to unwanted interactions with their environment. The theory of quantum error correction provides a scheme by which the effects…

Quantum Physics · Physics 2022-08-02 Akshaya Jayashankar , Prabha Mandayam

The design and performance analysis of quantum error correction (QEC) codes are often based on incoherent and independent noise models since it is easy to simulate. However, these models fail to capture realistic hardware noise sources,…

Quantum Physics · Physics 2025-04-16 Zeyuan Zhou , Andrew Ji , Yongshan Ding

Efficient decoding to estimate error locations from outcomes of syndrome measurement is the prerequisite for quantum error correction. Decoding in presence of circuit-level noise including measurement errors should be considered in case of…

Quantum Error Correction (QEC) is the process of detecting and correcting errors in quantum systems, which are prone to decoherence and quantum noise. QEC is crucial for developing stable and highly accurate quantum computing systems,…

Quantum Physics · Physics 2024-12-31 Zihao Wang , Hao Tang

Surface codes are among the best candidates to ensure the fault-tolerance of a quantum computer. In order to avoid the accumulation of errors during a computation, it is crucial to have at our disposal a fast decoding algorithm to quickly…

Quantum Physics · Physics 2020-07-15 Nicolas Delfosse , Gilles Zémor

Imperfect measurements are a prevalent source of error across quantum computing platforms, significantly degrading the logical error rates achievable on current hardware. To mitigate this issue, rich measurement data referred to as soft…

Quantum Physics · Physics 2026-03-18 Joonas Majaniemi , Elisha S. Matekole

One of the main challenge for an efficient implementation of quantum information technologies is how to counteract quantum noise. Quantum error correcting codes are therefore of primary interest for the evolution towards quantum computing…

Quantum Physics · Physics 2023-02-28 Lorenzo Valentini , Diego Forlivesi , Marco Chiani

All utility-scale quantum computers will require some form of Quantum Error Correction in which logical qubits are encoded in a larger number of physical qubits. One promising encoding is known as the colour code which has broad…

Quantum Physics · Physics 2026-03-05 Mark Walters , Mark L. Turner
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