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Quantum error correction (QEC) plays a crucial role in correcting noise and paving the way for fault-tolerant quantum computing. This field has seen significant advancements, with new quantum error correction codes emerging regularly to…

量子物理 · 物理学 2025-03-18 Avimita Chatterjee , Subrata Das , Swaroop Ghosh

Due to the high error rate of a qubit, detecting and correcting errors on it is essential for fault-tolerant quantum computing (FTQC). Among several FTQC techniques, lattice surgery (LS) using surface code (SC) is currently promising. To…

Surface quantum error-correcting codes are the leading proposal for fault-tolerance within quantum computers. We present OpenSurgery, a scalable tool for the preparation of circuits protected by the surface code operated through lattice…

量子物理 · 物理学 2020-08-27 Alexandru Paler , Austin G. Fowler

Quantum error correction (QEC) and fault-tolerant (FT) mechanisms are essential for reliable quantum computing. However, QEC considerably increases the computation size up to four orders of magnitude. Moreover, FT implementation has…

量子物理 · 物理学 2018-09-20 L. Lao , B. van Wee , I. Ashraf , J. van Someren , N. Khammassi , K. Bertels , C. G. Almudever

Large-scale fault-tolerant quantum computation requires compiling logical circuits into physical operations tailored to a given architecture. Prior work addressing this challenge has mostly focused on the surface code and lattice surgery…

量子物理 · 物理学 2025-12-12 Laura S. Herzog , Lucas Berent , Aleksander Kubica , Robert Wille

Practical applications of quantum computing depend on fault-tolerant devices that employ error correction. A promising quantum error-correcting code for large-scale quantum computing is the surface code. For this code, Fault-Tolerant…

量子物理 · 物理学 2025-08-21 Theodoros Trochatos , Christopher Kang , Andrew Wang , Frederic T. Chong , Jakub Szefer

Quantum error correction is needed for quantum computers to be capable of fault-tolerantly executing algorithms using hundreds of logical qubits. Recent experiments have demonstrated subthreshold error rates for state preservation of a…

Toward the large-scale, practical realization of quantum computing, quantum error correction is essential. Among various quantum error-correcting codes, the surface code stands out as a leading candidate, and lattice surgery based on…

量子物理 · 物理学 2026-04-17 Chenghong Zhu , Xian Wu , Jiahan Chen , Keming He , Junjie Wu , Xin Wang , Lingling Lao

We demonstrate how to use lattice surgery to enact a universal set of fault-tolerant quantum operations with color codes. Along the way, we also improve existing surface-code lattice-surgery methods. Lattice-surgery methods use fewer qubits…

量子物理 · 物理学 2014-07-22 Andrew J. Landahl , Ciaran Ryan-Anderson

Facilitating the ability to achieve logical qubit error rates below physical qubit error rates, error correction is anticipated to play an important role in scaling quantum computers. While many algorithms require millions of physical…

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

Quantum Error Correction (QEC) codes are essential for achieving fault-tolerant quantum computing (FTQC). However, their implementation faces significant challenges due to disparity between required dense qubit connectivity and sparse…

量子物理 · 物理学 2024-11-12 Keyi Yin , Hezi Zhang , Xiang Fang , Yunong Shi , Travis Humble , Ang Li , Yufei Ding

Given a quantum gate circuit, how does one execute it in a fault-tolerant architecture with as little overhead as possible? In this paper, we discuss strategies for surface-code quantum computing on small, intermediate and large scales.…

量子物理 · 物理学 2019-03-07 Daniel Litinski

The yield of physical qubits fabricated in the laboratory is much lower than that of classical transistors in production semiconductor fabrication. Actual implementations of quantum computers will be susceptible to loss in the form of…

量子物理 · 物理学 2018-01-24 Shota Nagayama , Austin G. Fowler , Dominic Horsman , Simon J. Devitt , Rodney Van Meter

Topological error correction codes are promising candidates to protect quantum computations from the deteriorating effects of noise. While some codes provide high noise thresholds suitable for robust quantum memories, others allow…

量子物理 · 物理学 2017-11-07 Hendrik Poulsen Nautrup , Nicolai Friis , Hans J. Briegel

Quantum error correction allows inherently noisy quantum devices to emulate an ideal quantum computer with reasonable resource overhead. As a crucial component, decoding architectures have received significant attention recently. In this…

量子物理 · 物理学 2025-09-05 Kai Zhang , Jubo Xu , Fang Zhang , Linghang Kong , Zhengfeng Ji , Jianxin Chen

In this paper, we explore the relationship between the width of a qubit lattice constrained in one dimension and physical thresholds for scalable, fault-tolerant quantum computation. To circumvent the traditionally low thresholds of small…

量子物理 · 物理学 2022-12-15 Alexis T. E. Shaw , Michael J. Bremner , Alexandru Paler , Daniel Herr , Simon J. Devitt

Running quantum algorithms protected by quantum error correction requires a real time, classical decoder. To prevent the accumulation of a backlog, this decoder must process syndromes from the quantum device at a faster rate than they are…

量子物理 · 物理学 2025-04-01 Sophia Fuhui Lin , Eric C. Peterson , Krishanu Sankar , Prasahnt Sivarajah

Lattice surgery is a method to perform quantum computation fault-tolerantly by using operations on boundary qubits between different patches of the planar code. This technique allows for universal planar-code computation without eliminating…

量子物理 · 物理学 2018-06-12 Daniel Herr , Alexandru Paler , Simon J. Devitt , Franco Nori

We describe a space-time optimized circuit for the table lookup subroutine from lattice-surgery surface code primitives respecting 2D grid connectivity. Table lookup circuits are ubiquitous in quantum computing, allowing the presented…

量子物理 · 物理学 2023-11-27 Thomas Häner , Vadym Kliuchnikov , Martin Roetteler , Mathias Soeken
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