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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) enables reliable computation on noisy hardware by encoding logical information across many physical qubits and periodically measuring parities to detect errors. A decoder is the classical algorithm that uses…

Programming Languages · Computer Science 2026-03-23 Abtin Molavi , Feras Saad , Aws Albarghouthi

Quantum error correction is capable of digitizing quantum noise and increasing the robustness of qubits. Typically, error correction is designed with the target of eliminating all errors - making an error so unlikely it can be assumed that…

Quantum Physics · Physics 2022-05-20 Salonik Resch , Ulya R. Karpuzcu

A fundamental challenge for quantum information processing is reducing the impact of environmentally-induced errors. Quantum error detection (QED) provides one approach to handling such errors, in which errors are rejected when they are…

Quantum Physics · Physics 2014-01-28 Y. P. Zhong , Z. L. Wang , John M. Martinis , A. N. Cleland , A. N. Korotkov , H. Wang

Quantum error correction (QEC) is essential for achieving fault-tolerant quantum computing. While superconducting qubits are among the most promising candidates for scalable QEC, their limited nearest-neighbor connectivity presents…

In this work, we migrate the quantum error mitigation technique of Zero-Noise Extrapolation (ZNE) to fault-tolerant quantum computing. We employ ZNE on logically encoded qubits rather than physical qubits. This approach will be useful in a…

Quantum Physics · Physics 2024-03-05 Misty A. Wahl , Andrea Mari , Nathan Shammah , William J. Zeng , Gokul Subramanian Ravi

Quantum error correction enables the preservation of logical qubits with a lower logical error rate than the physical error rate, with performance depending on the decoding method. Traditional error decoding approaches, relying on the…

Correcting errors due to noise in quantum circuits run on current and near-term quantum hardware is essential for any convincing demonstration of quantum advantage. Indeed, in many cases it has been shown that noise renders quantum circuits…

Quantum Physics · Physics 2022-06-08 Rawad Mezher , James Mills , Elham Kashefi

Quantum Error Correction (QEC) is essential for fault-tolerant quantum copmutation, and its implementation is a very sophisticated process involving both quantum and classical hardware. Formulating and verifying the decomposition of logical…

Quantum Physics · Physics 2021-11-30 Anbang Wu , Gushu Li , Hezi Zhang , Gian Giacomo Guerreschi , Yuan Xie , Yufei Ding

As quantum computing moves toward fault-tolerant architectures, quantum error correction (QEC) decoder performance is increasingly critical for scalability. Understanding the impact of transitioning from floating-point software to…

Quantum Physics · Physics 2026-04-22 Francisco Garcia-Herrero , Javier Valls , Llanos Vergara-Picazo , Vicente Torres

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 realization of quantum error correction is an essential ingredient for reaching the full potential of fault-tolerant universal quantum computation. Using a range of different schemes, logical qubits can be redundantly encoded in a set…

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

Recent progress in quantum computing has enabled systems with tens of reliable logical qubits, built from thousands of noisy physical qubits. However, many impactful applications demand quantum computations with millions of logical qubits,…

Quantum Physics · Physics 2026-05-26 Daiki Komoto , Kenta Kasai

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 data is susceptible to decoherence induced by the environment and to errors in the hardware processing it. A future fault-tolerant quantum computer will use quantum error correction (QEC) to actively protect against both. In the…

Quantum Physics · Physics 2015-04-30 D. Ristè , S. Poletto , M. -Z. Huang , A. Bruno , V. Vesterinen , O. -P. Saira , L. DiCarlo

Reliable quantum computation requires systematic identification and correction of errors that occur and accumulate in quantum hardware. To diagnose and correct such errors, standard quantum error-correcting protocols utilize…

Quantum Physics · Physics 2025-01-20 Mincheol Park , Nishad Maskara , Marcin Kalinowski , Mikhail D. Lukin

Quantum error mitigation(QEM), an error suppression strategy without the need for additional ancilla qubits for noisy intermediate-scale quantum~(NISQ) devices, presents a promising avenue for realizing quantum speedups of quantum computing…

Quantum Physics · Physics 2025-10-28 Ke Wang , Xiantao Li

Quantum computing becomes viable when a quantum state can be preserved from environmentally-induced error. If quantum bits (qubits) are sufficiently reliable, errors are sparse and quantum error correction (QEC) is capable of identifying…

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…