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Large-scale quantum computers will inevitably need quantum error correction (QEC) to protect information against decoherence. Given that the overhead of such error correction is often formidable, autonomous quantum error correction (AQEC)…

Quantum Physics · Physics 2024-01-11 Ziqian Li , Tanay Roy , David Rodríguez Pérez , David I. Schuster , Eliot Kapit

Error rates in current noisy quantum hardware are not static; they vary over time and across qubits. This temporal and spatial variation challenges the effectiveness of fixed-distance quantum error correction (QEC) codes. In this paper, we…

Quantum Physics · Physics 2025-05-12 Subrata Das , Swaroop Ghosh

Quantum error correction (QEC) will be essential to achieve the accuracy needed for quantum computers to realise their full potential. The field has seen promising progress with demonstrations of early QEC and real-time decoded experiments.…

Large-scale quantum computers will inevitably need quantum error correction to protect information against decoherence. Traditional error correction typically requires many qubits, along with high-efficiency error syndrome measurement and…

Quantum Physics · Physics 2023-02-15 Ziqian Li , Tanay Roy , David Rodriguez Perez , Kan-Heng Lee , Eliot Kapit , David I. Schuster

Quantum computers are growing in size, and design decisions are being made now that attempt to squeeze more computation out of these machines. In this spirit, we design a method to boost the computational power of near-term quantum…

Quantum error correcting (QEC) codes protect quantum information against environmental noise. Computational errors caused by the environment change the quantum state within the qubit subspace, whereas quantum erasures correspond to the loss…

Quantum Physics · Physics 2025-11-26 Luis Colmenarez , Seyong Kim , Markus Müller

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

Quantum circuits implementing fault-tolerant quantum error correction (QEC) for the three qubit bit-flip code and five-qubit code are studied. To describe the effect of noise, we apply a model based on a generalized effective Hamiltonian…

Quantum Physics · Physics 2016-09-08 Y. C. Cheng , R. J. Silbey

In the current Noisy Intermediate Scale Quantum (NISQ) era of quantum computing, qubit technologies are prone to imperfections, giving rise to various errors such as gate errors, decoherence/dephasing, measurement errors, leakage, and…

Quantum Physics · Physics 2024-02-22 Avimita Chatterjee , Koustubh Phalak , Swaroop Ghosh

Quantum error correction (QEC) is essential for realizing large-scale, fault-tolerant quantum computation, yet its practical implementation remains a major engineering challenge. In particular, QEC demands precise real-time control of a…

Quantum Physics · Physics 2026-03-18 Junyi Liu , Yi Lee , Yilun Xu , Gang Huang , Xiaodi Wu

Erasure qubits offer a promising avenue toward reducing the overhead of quantum error correction (QEC) protocols. However, they require additional operations, such as erasure checks, that may add extra noise and increase runtime of QEC…

Quantum Physics · Physics 2026-01-15 Shouzhen Gu , Yotam Vaknin , Alex Retzker , Aleksander Kubica

In order to solve problems of practical importance, quantum computers will likely need to incorporate quantum error correction, where a logical qubit is redundantly encoded in many noisy physical qubits. The large physical-qubit overhead…

Quantum Physics · Physics 2025-03-25 Harald Putterman , Kyungjoo Noh , Connor T. Hann , Gregory S. MacCabe , Shahriar Aghaeimeibodi , Rishi N. Patel , Menyoung Lee , William M. Jones , Hesam Moradinejad , Roberto Rodriguez , Neha Mahuli , Jefferson Rose , John Clai Owens , Harry Levine , Emma Rosenfeld , Philip Reinhold , Lorenzo Moncelsi , Joshua Ari Alcid , Nasser Alidoust , Patricio Arrangoiz-Arriola , James Barnett , Przemyslaw Bienias , Hugh A. Carson , Cliff Chen , Li Chen , Harutiun Chinkezian , Eric M. Chisholm , Ming-Han Chou , Aashish Clerk , Andrew Clifford , R. Cosmic , Ana Valdes Curiel , Erik Davis , Laura DeLorenzo , J. Mitchell D'Ewart , Art Diky , Nathan D'Souza , Philipp T. Dumitrescu , Shmuel Eisenmann , Essam Elkhouly , Glen Evenbly , Michael T. Fang , Yawen Fang , Matthew J. Fling , Warren Fon , Gabriel Garcia , Alexey V. Gorshkov , Julia A. Grant , Mason J. Gray , Sebastian Grimberg , Arne L. Grimsmo , Arbel Haim , Justin Hand , Yuan He , Mike Hernandez , David Hover , Jimmy S. C. Hung , Matthew Hunt , Joe Iverson , Ignace Jarrige , Jean-Christophe Jaskula , Liang Jiang , Mahmoud Kalaee , Rassul Karabalin , Peter J. Karalekas , Andrew J. Keller , Amirhossein Khalajhedayati , Aleksander Kubica , Hanho Lee , Catherine Leroux , Simon Lieu , Victor Ly , Keven Villegas Madrigal , Guillaume Marcaud , Gavin McCabe , Cody Miles , Ashley Milsted , Joaquin Minguzzi , Anurag Mishra , Biswaroop Mukherjee , Mahdi Naghiloo , Eric Oblepias , Gerson Ortuno , Jason Pagdilao , Nicola Pancotti , Ashley Panduro , JP Paquette , Minje Park , Gregory A. Peairs , David Perello , Eric C. Peterson , Sophia Ponte , John Preskill , Johnson Qiao , Gil Refael , Rachel Resnick , Alex Retzker , Omar A. Reyna , Marc Runyan , Colm A. Ryan , Abdulrahman Sahmoud , Ernesto Sanchez , Rohan Sanil , Krishanu Sankar , Yuki Sato , Thomas Scaffidi , Salome Siavoshi , Prasahnt Sivarajah , Trenton Skogland , Chun-Ju Su , Loren J. Swenson , Stephanie M. Teo , Astrid Tomada , Giacomo Torlai , E. Alex Wollack , Yufeng Ye , Jessica A. Zerrudo , Kailing Zhang , Fernando G. S. L. Brandão , Matthew H. Matheny , Oskar Painter

Quantum error correction (QEC) protects quantum systems against inevitable noises and control inaccuracies, providing a pathway towards fault-tolerant (FT) quantum computation. Stabilizer codes, including surface code and color code, have…

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

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…

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 error correction (QEC) is essential for scalable quantum computing. However, it requires classical decoders that are fast and accurate enough to keep pace with quantum hardware. While quantum low-density parity-check codes have…

Quantum Physics · Physics 2026-04-10 Andi Gu , J. Pablo Bonilla Ataides , Mikhail D. Lukin , Susanne F. Yelin

Leakage of quantum information out of computational states into higher energy states represents a major challenge in the pursuit of quantum error correction (QEC). In a QEC circuit, leakage builds over time and spreads through multi-qubit…

Quantum Physics · Physics 2024-05-01 Kevin C. Miao , Matt McEwen , Juan Atalaya , Dvir Kafri , Leonid P. Pryadko , Andreas Bengtsson , Alex Opremcak , Kevin J. Satzinger , Zijun Chen , Paul V. Klimov , Chris Quintana , Rajeev Acharya , Kyle Anderson , Markus Ansmann , Frank Arute , Kunal Arya , Abraham Asfaw , Joseph C. Bardin , Alexandre Bourassa , Jenna Bovaird , Leon Brill , Bob B. Buckley , David A. Buell , Tim Burger , Brian Burkett , Nicholas Bushnell , Juan Campero , Ben Chiaro , Roberto Collins , Paul Conner , Alexander L. Crook , Ben Curtin , Dripto M. Debroy , Sean Demura , Andrew Dunsworth , Catherine Erickson , Reza Fatemi , Vinicius S. Ferreira , Leslie Flores Burgos , Ebrahim Forati , Austin G. Fowler , Brooks Foxen , Gonzalo Garcia , William Giang , Craig Gidney , Marissa Giustina , Raja Gosula , Alejandro Grajales Dau , Jonathan A. Gross , Michael C. Hamilton , Sean D. Harrington , Paula Heu , Jeremy Hilton , Markus R. Hoffmann , Sabrina Hong , Trent Huang , Ashley Huff , Justin Iveland , Evan Jeffrey , Zhang Jiang , Cody Jones , Julian Kelly , Seon Kim , Fedor Kostritsa , John Mark Kreikebaum , David Landhuis , Pavel Laptev , Lily Laws , Kenny Lee , Brian J. Lester , Alexander T. Lill , Wayne Liu , Aditya Locharla , Erik Lucero , Steven Martin , Anthony Megrant , Xiao Mi , Shirin Montazeri , Alexis Morvan , Ofer Naaman , Matthew Neeley , Charles Neill , Ani Nersisyan , Michael Newman , Jiun How Ng , Anthony Nguyen , Murray Nguyen , Rebecca Potter , Charles Rocque , Pedram Roushan , Kannan Sankaragomathi , Christopher Schuster , Michael J. Shearn , Aaron Shorter , Noah Shutty , Vladimir Shvarts , Jindra Skruzny , W. Clarke Smith , George Sterling , Marco Szalay , Douglas Thor , Alfredo Torres , Theodore White , Bryan W. K. Woo , Z. Jamie Yao , Ping Yeh , Juhwan Yoo , Grayson Young , Adam Zalcman , Ningfeng Zhu , Nicholas Zobrist , Hartmut Neven , Vadim Smelyanskiy , Andre Petukhov , Alexander N. Korotkov , Daniel Sank , Yu Chen

Quantum error correcting (QEC) stabilizer codes enable protection of quantum information against errors during storage and processing. Simulation of noisy QEC codes is used to identify the noise parameters necessary for advantageous…

Quantum Physics · Physics 2025-03-17 Sascha Heußen , Don Winter , Manuel Rispler , Markus Müller