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Quantum error correction methods use processing power to combat noise. The noise level which can be tolerated in a fault-tolerant method is therefore a function of the computational resources available, especially the size of computer and…

量子物理 · 物理学 2015-06-26 Andrew Steane

Topological quantum error correction is a milestone in the scaling roadmap of quantum computers, which targets circuits with trillions of gates that would allow running quantum algorithms for real-world problems. The square-lattice surface…

量子物理 · 物理学 2025-02-12 César Benito , Esperanza López , Borja Peropadre , Alejandro Bermudez

In this paper we outline a method for a compiler to translate any non fault tolerant quantum circuit to the geometric representation of the lattice surgery error-correcting code using inherent merge and split operations. Since the…

量子物理 · 物理学 2017-01-27 Daniel Herr , Franco Nori , Simon J. Devitt

A key challenge in fault-tolerant quantum computing is synthesising and optimising circuits in a noisy environment, as traditional techniques often fail to account for the effect of noise on circuits. In this work, we propose and…

量子物理 · 物理学 2026-04-02 Benjamin Rodatz , Boldizsár Poór , Aleks Kissinger

Fault tolerant quantum computing methods which work with efficient quantum error correcting codes are discussed. Several new techniques are introduced to restrict accumulation of errors before or during the recovery. Classes of eligible…

量子物理 · 物理学 2009-10-31 Andrew M. Steane

In recent years, surface codes have become a leading method for quantum error correction in theoretical large scale computational and communications architecture designs. Their comparatively high fault-tolerant thresholds and their natural…

量子物理 · 物理学 2023-04-21 Dominic Horsman , Austin G. Fowler , Simon Devitt , Rodney Van Meter

Conventional approaches to fault-tolerant quantum computing realize logical circuits gate-by-gate, synthesizing each gate independently on one or more code blocks. This incurs excess overhead and doesn't leverage common structures in…

量子物理 · 物理学 2026-02-02 Zhuangzhuang Chen , Jack Owen Weinberg , Narayanan Rengaswamy

Quantum error correction protects fragile quantum information by encoding it into a larger quantum system. These extra degrees of freedom enable the detection and correction of errors, but also increase the operational complexity of the…

Scalable realisation of quantum computing is reliant on the development of fault tolerant devices. Analysis of quantum error correction protocols typically considers incoherent noise models or noise-free syndrome measurements. While this is…

量子物理 · 物理学 2026-05-29 Ben Harper , Azar C. Nakhl , Martin Sevior , Muhammad Usman

Low-depth random circuit codes possess many desirable properties for quantum error correction but have so far only been analyzed in the code capacity setting where it is assumed that encoding gates and syndrome measurements are noiseless.…

量子物理 · 物理学 2023-12-01 Jon Nelson , Gregory Bentsen , Steven T. Flammia , Michael J. Gullans

Future quantum computers will require quantum error correction for faithful operation. The correction capabilities come with an overhead for performing fault-tolerant logical operations on the encoded qubits. One of the most resource…

A major challenge in practical quantum computation is the ineludible errors caused by the interaction of quantum systems with their environment. Fault-tolerant schemes, in which logical qubits are encoded by several physical qubits, enable…

量子物理 · 物理学 2020-12-17 Kai Sun , Jin-Shi Xu , Xiao-Ye Xu , Yong-Jian Han , Chuan-Feng Li , Guang-Can Guo

Fault-tolerant quantum computation using two-dimensional topological quantum error correcting codes can benefit from multi-qubit long-range operations. By using simple commutation rules, a quantum circuit can be transpiled into a sequence…

Distributed architectures are a route to scalable quantum computing, but the performance of fault-tolerant operations across noisy inter-module links remains poorly characterized. We present circuit-level simulations of two key distributed…

量子物理 · 物理学 2026-05-04 John Stack , Ming Wang , Frank Mueller

Distributed quantum computation (DQC) is a promising approach for scalable quantum computing, where high-fidelity non-local operations among remote devices are required for universal quantum computation. These operations are typically…

量子物理 · 物理学 2024-12-09 Kaoru Yamamoto , Yuichiro Matsuzaki , Yasunari Suzuki , Yuuki Tokunaga , Suguru Endo

Achieving reliable performance on early fault-tolerant quantum hardware will depend on protocols that manage noise without incurring prohibitive overhead. We propose a novel framework that integrates quantum computation with the…

量子物理 · 物理学 2026-03-10 IlKwon Sohn , Changyeol Lee , Wooyeong Song , Kwangil Bae , Wonhyuk Lee

Quantum error correction (QEC) is considered a deciding component in enabling practical quantum computing. Stabilizer codes, and in particular topological surface codes, are promising candidates for implementing QEC by redundantly encoding…

量子物理 · 物理学 2025-12-12 Josias Old , Stephan Tasler , Michael J. Hartmann , Markus Müller

A quantum computer -- i.e., a computer capable of manipulating data in quantum superposition -- would find applications including factoring, quantum simulation and tests of basic quantum theory. Since quantum superpositions are fragile, the…

量子物理 · 物理学 2007-05-23 Ben W. Reichardt

Distributed architecture is a promising route to scaling fault-tolerant quantum computing (FTQC) beyond the inherent limitations of single processors. For practical implementation of distributed FTQC, logical Bell pair preparation must be…

量子物理 · 物理学 2026-05-05 Shinichi Sunami , Yutaka Hirano , Toshihide Hinokuma , Hayata Yamasaki

Quantum computation promises to advance a wide range of computational tasks. However, current quantum hardware suffers from noise and is too small for error correction. Thus, accurately utilizing noisy quantum computers strongly relies on…

最优化与控制 · 数学 2024-12-16 Friedrich Wagner , Daniel J. Egger , Frauke Liers