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Color codes are a leading class of topological quantum error-correcting codes with modest error thresholds and structural compatibility with two-dimensional architectures, which make them well-suited for fault-tolerant quantum computing…

Quantum Physics · Physics 2026-04-07 Nitish Kumar Chandra , David Tipper , Reza Nejabati , Eneet Kaur , Kaushik P. Seshadreesan

Quantum error correction (QEC) is a way to protect quantum information against noise. It consists of encoding input information into entangled quantum states known as the code space. Furthermore, to classify if the encoded information is…

Quantum Physics · Physics 2024-02-15 Pejman Jouzdani , H. Arslan Hashim , Eduardo R. Mucciolo

It is often assumed that the ancilla qubits required for encoding a qubit in quantum error correction (QEC) have to be in pure states, $|00...0>$ for example. In this letter, we seek an encoding scheme, in which the ancillae may be in a…

Quantum Physics · Physics 2013-08-21 Yasushi Kondo , Chiara Bagnasco , Mikio Nakahara

Neutral-atom quantum computing (NAQC) offers distinct advantages such as dynamic qubit reconfigurability, long coherence times, and high gate fidelities, making it a promising platform for scalable quantum computing. Despite these…

Quantum Physics · Physics 2025-06-19 Dingchao Gao , Yongming Li , Shenggang Ying , Sanjiang Li

We use density matrix simulations to study the performance of three distance three quantum error correcting codes in the context of the rare-earth-ion-doped crystal (RE) platform for quantum computing. We analyze pseudothresholds for these…

Quantum Physics · Physics 2022-06-22 Arvid Rolander , Adam Kinos , Andreas Walther

Practical applications of quantum computing depend on fault-tolerant devices with error correction. Today, the most promising approach is a class of error-correcting codes called surface codes. We study the problem of compiling quantum…

Quantum Physics · Physics 2025-04-29 Abtin Molavi , Amanda Xu , Swamit Tannu , Aws Albarghouthi

Quantum Error Correction (QEC) is an essential field of research towards the realization of large-scale quantum computers. On the theoretical side, a lot of effort is put into designing error-correcting codes that protect quantum data from…

Quantum Physics · Physics 2023-02-10 Lucas Berent , Lukas Burgholzer , Robert Wille

We develop the theory of entanglement-assisted quantum error correcting (EAQEC) codes, a generalization of the stabilizer formalism to the setting in which the sender and receiver have access to pre-shared entanglement. Conventional…

Quantum Physics · Physics 2022-02-04 Todd Brun , Igor Devetak , Min-Hsiu Hsieh

The typical time-independent view of quantum error correction (QEC) codes hides significant freedom in the decomposition into circuits that are executable on hardware. Using the concept of detecting regions, we design time-dynamic QEC…

Quantum Physics · Physics 2023-11-08 Matt McEwen , Dave Bacon , Craig Gidney

Quantum error correction (QEC) requires the execution of deep quantum circuits with large numbers of physical qubits to protect information against errors. Designing protocols that can reduce gate and space-time overheads of QEC is…

Quantum Physics · Physics 2025-12-15 Laura Pecorari , Sven Jandura , Guido Pupillo

Many current quantum error-correcting codes that achieve full fault tolerance suffer from having low ratios of logical to physical qubits and significant overhead. This makes them difficult to implement on current noisy intermediate-scale…

Quantum Physics · Physics 2026-05-22 Christopher Gerhard , Todd A. Brun

Quantum error correction is a crucial technology for fault tolerant quantum computing. On superconducting platforms, hardware defects in large scale quantum processors can disrupt the regular lattice structure of topological codes and…

Quantum Physics · Physics 2026-04-08 Tian-Hao Wei , Jia-Xuan Zhang , Jia-Ning Li , Wei-Cheng Kong , Yu-Chun Wu , Guo-Ping Guo

Quantum error correction is vital for implementing universal quantum computing. A key component is the encoding circuit that maps a product state of physical qubits into the encoded multipartite entangled logical state. Known methods are…

Quantum Physics · Physics 2021-04-07 Xiaosi Xu , Simon C. Benjamin , Xiao Yuan

We study the performance of quantum error correction codes (QECCs) under the detection-induced coherent error due to the imperfectness of practical implementations of stabilizer measurements, after running a quantum circuit. Considering the…

Quantum Physics · Physics 2022-02-25 Qinghong Yang , 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

Squeezed cat quantum error correction (QEC) codes have garnered attention because of their robustness against photon-loss and excitation errors while maintaining the biased-noise property of cat codes. In this work, we reveal the utility of…

Quantum Physics · Physics 2025-10-02 Tomohiro Shitara , Gabriel Mintzer , Yuuki Tokunaga , Suguru Endo

Studies of quantum error correction (QEC) typically focus on stochastic Pauli errors because the existence of a threshold error rate below which stochastic Pauli errors can be corrected implies that there exists a threshold below which…

Quantum Physics · Physics 2023-06-27 Stefanie J. Beale , Joel J. Wallman

Designing efficient fault tolerance schemes is crucial for building useful quantum computers. Most standard schemes assume no knowledge of the underlying device noise and rely on general-purpose quantum error-correcting (QEC) codes capable…

Quantum Physics · Physics 2025-03-31 Long D. H. My , Akshaya Jayashankar , Prabha Mandayam , Hui Khoon Ng

Near-term quantum workloads demand error management, yet the two lightest-weight techniques, Quantum Error Detection (QED) and Probabilistic Error Cancellation (PEC), have complementary cost profiles whose joint architectural design space…

Quantum bits are more robust to noise when they are encoded non-locally. In such an encoding, errors affecting the underlying physical system can then be detected and corrected before they corrupt the encoded information. In 2001,…