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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

We use a combination of analytical and numerical techniques to calculate the noise threshold and resource requirements for a linear optical quantum computing scheme based on parity-state encoding. Parity-state encoding is used at the lowest…

量子物理 · 物理学 2013-05-29 A. J. F. Hayes , H. L. Haselgrove , Alexei Gilchrist , T. C. Ralph

Topological quantum memory can protect information against local errors up to finite error thresholds. Such thresholds are usually determined based on the success of decoding algorithms rather than the intrinsic properties of the mixed…

量子物理 · 物理学 2024-09-12 Ruihua Fan , Yimu Bao , Ehud Altman , Ashvin Vishwanath

Fault-tolerant quantum error correction is a necessity for any quantum architecture destined to tackle interesting, large-scale problems. Its theoretical formalism has been well founded for nearly two decades. However, we still do not have…

量子物理 · 物理学 2017-05-02 Alexandru Paler , Ilia Polian , Kae Nemoto , Simon J. Devitt

We analyze surface codes, the topological quantum error-correcting codes introduced by Kitaev. In these codes, qubits are arranged in a two-dimensional array on a surface of nontrivial topology, and encoded quantum operations are associated…

量子物理 · 物理学 2009-11-07 Eric Dennis , Alexei Kitaev , Andrew Landahl , John Preskill

Fault-tolerant quantum computation (FTQC) is essential to implement quantum algorithms in a noise-resilient way, and thus to enjoy advantages of quantum computers even with presence of noise. In FTQC, a quantum circuit is decomposed into…

量子物理 · 物理学 2025-07-23 Kohdai Kuroiwa , Yuya O. Nakagawa

We extensively test a recent protocol to demonstrate quantum fault tolerance on three systems: (1) a real-time simulation of five spin qubits coupled to an environment with two-level defects, (2) a real-time simulation of transmon quantum…

量子物理 · 物理学 2018-11-29 D. Willsch , M. Willsch , F. Jin , H. De Raedt , K. Michielsen

High-fidelity control of quantum bits is paramount for the reliable execution of quantum algorithms and for achieving fault-tolerance, the ability to correct errors faster than they occur. The central requirement for fault-tolerance is…

Today ion traps are among the most promising physical systems for constructing a quantum device harnessing the computing power inherent in the laws of quantum physics. The standard circuit model of quantum computing requires a universal set…

量子物理 · 物理学 2008-05-29 J. Benhelm , G. Kirchmair , C. F. Roos , R. Blatt

Quantum computing is a disruptive paradigm widely believed to be capable of solving classically intractable problems. However, the route toward full-scale quantum computers is obstructed by immense challenges associated with the scalability…

量子物理 · 物理学 2020-05-13 Bo-Han Wu , Rafael N. Alexander , Shuai Liu , Zheshen Zhang

Large-scale quantum computation will only be achieved if experimentally implementable quantum error correction procedures are devised that can tolerate experimentally achievable error rates. We describe a quantum error correction procedure…

量子物理 · 物理学 2011-02-22 David S. Wang , Austin G. Fowler , Lloyd C. L. Hollenberg

Quantum computers will eventually reach a size at which quantum error correction becomes imperative. Quantum information can be protected from qubit imperfections and flawed control operations by encoding a single logical qubit in multiple…

量子物理 · 物理学 2018-03-15 N. M. Linke , M. Gutierrez , K. A. Landsman , C. Figgatt , S. Debnath , K. R. Brown , C. Monroe

We introduce a novel scheme for one-way quantum computing (QC) based on the use of information encoded qubits in an effective cluster state resource. With the correct encoding structure, we show that it is possible to protect the entangled…

量子物理 · 物理学 2009-11-13 M. S. Tame , M. Paternostro , M. S. Kim

Photonics provides a viable path to a scalable fault-tolerant quantum computer. The natural framework for this platform is measurement-based quantum computation, where fault-tolerant graph states supersede traditional quantum…

量子物理 · 物理学 2025-10-15 Timo Hillmann , Guillaume Dauphinais , Ilan Tzitrin , Michael Vasmer

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 computers hold the promise of solving computational problems which are intractable using conventional methods. For fault-tolerant operation quantum computers must correct errors occurring due to unavoidable decoherence and limited…

Symmetry-protected topological (SPT) phases are fundamental features of cluster states, serving as key resources for measurement-based quantum computation (MBQC). Generating large-scale cluster states and verifying their SPT phases are…

量子物理 · 物理学 2026-04-06 Tao Jiang , Jianbin Cai , Junxiang Huang , Naibin Zhou , Yukun Zhang , Jiahao Bei , Guoqing Cai , Sirui Cao , Fusheng Chen , Jiang Chen , Kefu Chen , Xiawei Chen , Xiqing Chen , Zhe Chen , Zhiyuan Chen , Zihua Chen , Wenhao Chu , Hui Deng , Zhibin Deng , Pei Ding , Xun Ding , Zhuzhengqi Ding , Shuai Dong , Bo Fan , Daojin Fan , Yuanhao Fu , Dongxin Gao , Lei Ge , Jiacheng Gui , Cheng Guo , Shaojun Guo , Xiaoyang Guo , Lianchen Han , Tan He , Linyin Hong , Yisen Hu , He-Liang Huang , Yong-Heng Huo , Zuokai Jiang , Honghong Jin , Yunxiang Leng , Dayu Li , Dongdong Li , Fangyu Li , Jiaqi Li , Jinjin Li , Junyan Li , Junyun Li , Na Li , Shaowei Li , Wei Li , Yuhuai Li , Yuan Li , Futian Liang , Xuelian Liang , Nanxing Liao , Jin Lin , Weiping Lin , Dailin Liu , Hongxiu Liu , Maliang Liu , Xinyu Liu , Xuemeng Liu , Yancheng Liu , Haoxin Lou , Yuwei Ma , Lingxin Meng , Hao Mou , Kailiang Nan , Binghan Nie , Meijuan Nie , Jie Ning , Le Niu , Wenyi Peng , Haoran Qian , Hao Rong , Tao Rong , Huiyan Shen , Qiong Shen , Hong Su , Feifan Su , Chenyin Sun , Liangchao Sun , Tianzuo Sun , Yingxiu Sun , Yimeng Tan , Jun Tan , Longyue Tang , Wenbing Tu , Jiafei Wang , Biao Wang , Chang Wang , Chen Wang , Chu Wang , Jian Wang , Liangyuan Wang , Rui Wang , Shengtao Wang , Xiaomin Wang , Xinzhe Wang , Xunxun Wang , Yeru Wang , Zuolin Wei , Jiazhou Wei , Dachao Wu , Gang Wu , Jin Wu , Yulin Wu , Shiyong Xie , Lianjie Xin , Yu Xu , Chun Xue , Kai Yan , Weifeng Yang , Xinpeng Yang , Yang Yang , Yangsen Ye , Zhenping Ye , Chong Ying , Jiale Yu , Qinjing Yu , Wenhu Yu , Xiangdong Zeng , Chen Zha , Shaoyu Zhan , Feifei Zhang , Haibin Zhang , Kaili Zhang , Wen Zhang , Yiming Zhang , Yongzhuo Zhang , Lixiang Zhang , Guming Zhao , Peng Zhao , Xintao Zhao , Youwei Zhao , Zhong Zhao , Luyuan Zheng , Fei Zhou , Liang Zhou , Na Zhou , Shifeng Zhou , Shuang Zhou , Zhengxiao Zhou , Chengjun Zhu , Qingling Zhu , Guihong Zou , Haonan Zou , Qiang Zhang , Chao-Yang Lu , Cheng-Zhi Peng , Xiao Yuan , Ming Gong , Xiaobo Zhu , Jian-Wei Pan

We exhibit a simple, systematic procedure for detecting and correcting errors using any of the recently reported quantum error-correcting codes. The procedure is shown explicitly for a code in which one qubit is mapped into five. The…

量子物理 · 物理学 2009-10-30 David P. DiVincenzo , Peter W. Shor

Fault-tolerant quantum error correction provides a strategy to protect information processed by a quantum computer against noise which would otherwise corrupt the data. A fault-tolerant universal quantum computer must implement a universal…

In order to build a scalable quantum computer error correction will be required to reduce the impact of errors. Implementing error correction in the framework of measurement based computation manifests itself as the construction of fault…

量子物理 · 物理学 2018-10-24 Naomi Nickerson , Héctor Bombín