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We consider an approach to fault tolerant quantum computing based on a simple error detecting code operating as the substrate for a conventional surface code. We develop a customised decoder to process the information about the likely…

Quantum Physics · Physics 2019-12-11 Xiaosi Xu , Qi Zhao , Xiao Yuan , Simon C. Benjamin

A scheme for linear optical implementation of fault-tolerant quantum computation is proposed, which is based on an error-detecting code. Each computational step is mediated by transfer of quantum information into an ancilla system embedding…

Quantum Physics · Physics 2007-10-07 Jaeyoon Cho

It is known that windowed decoding (WD) can effectively balance the performance and complexity of spatially coupled low-density parity-check (LDPC) codes. In this study, we show that information can propagate in a wave-like manner at a…

Information Theory · Computer Science 2025-07-10 Qingqing Peng , Dongxu Chang , Guanghui Wang , Guiying Yan

Noise is an important factor that influences the reliability of information acquisition, transmission, processing, and storage. In order to suppress the inevitable noise effects, a fault-tolerant information processing approach via quantum…

Quantum Physics · Physics 2026-03-27 Qi Song , Hongjing Li , Chengxi Yu , Jingzheng Huang , Ding Wang , Peng Huang , Guihua Zeng

Scaling up quantum computers to attain substantial speedups over classical computing requires fault tolerance. Conventionally, protocols for fault-tolerant quantum computation demand excessive space overheads by using many physical qubits…

Quantum Physics · Physics 2025-01-29 Hayata Yamasaki , Masato Koashi

In this paper we investigate the role of local information in the decoding of the repetition and surface error correction codes for the protection of quantum states. Our key result is an improvement in resource efficiency when local…

Quantum Physics · Physics 2020-06-30 Michael Hanks , William J. Munro , Kae Nemoto

Quantum bits have technological imperfections. Additionally, the capacity of a component that can be implemented feasibly is limited. Therefore, distributed quantum computation is required to scale up quantum computers. This dissertation…

Quantum Physics · Physics 2017-04-11 Shota Nagayama

Quantum computers require error correction to achieve universal quantum computing. However, current decoding of quantum error-correcting codes relies on classical computation, which is slower than quantum operations in superconducting…

Quantum Physics · Physics 2025-06-11 Pan Zhang

Although qubit coherence times and gate fidelities are continuously improving, logical encoding is essential to achieve fault tolerance in quantum computing. In most encoding schemes, correcting or tracking errors throughout the computation…

The surface code is one of the most promising candidates for combating errors in large scale fault-tolerant quantum computation. A fault-tolerant decoder is a vital part of the error correction process---it is the algorithm which computes…

Quantum Physics · Physics 2015-09-15 Fern H. E. Watson , Hussain Anwar , Dan E. Browne

Noise in quantum computing is countered with quantum error correction. Achieving optimal performance will require tailoring codes and decoding algorithms to account for features of realistic noise, such as the common situation where the…

Quantum Physics · Physics 2020-04-02 David K. Tuckett , Stephen D. Bartlett , Steven T. Flammia , Benjamin J. Brown

Spatially Coupled Low-Density Parity-Check (SC-LDPC) codes offer excellent decoding performance and can be elegantly decoded with a Windowed Decoder (WD). We determine an efficient WD configuration with low control overhead. For fair…

Signal Processing · Electrical Eng. & Systems 2020-04-28 Janik Frenzel , Stefan Müller-Weinfurtner , Johannes Huber , Ralf Müller

Efficient and realistic error decoding is crucial for fault-tolerant quantum computation (FTQC) on near-term devices. While decoding is a classical post-processing task, its effectiveness depends on accurately modeling quantum noise, which…

Quantum Physics · Physics 2025-09-10 Yi Tian , Y. Zheng , Xiaoting Wang , Ching-Yi Lai

This paper introduces a scheme for data stream processing which is robust to batch duration. Streaming frameworks process streams in batches retrieved at fixed time intervals. In a common setting a pattern recognition algorithm is applied…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-02-20 David Tolpin

Large data sets are increasingly common in cloud and virtualized environments. For example, transfers of multiple gigabytes are commonplace, as are replicated blocks of such sizes. There is a need for fast error-correction or data…

Data Structures and Algorithms · Computer Science 2015-03-20 Michael Mitzenmacher , George Varghese

With the advent of noisy intermediate-scale quantum (NISQ) devices, practical quantum computing has seemingly come into reach. However, to go beyond proof-of-principle calculations, the current processing architectures will need to scale up…

Quantum Physics · Physics 2022-02-25 Kai Meinerz , Chae-Yeun Park , Simon Trebst

In many physical systems it is expected that environmental decoherence will exhibit an asymmetry between dephasing and relaxation that may result in qubits experiencing discrete phase errors more frequently than discrete bit errors. In the…

Quantum Physics · Physics 2009-11-13 A. M. Stephens , Z. W. E. Evans , S. J. Devitt , L. C. L. Hollenberg

Color code is a promising topological code for fault-tolerant quantum computing. Insufficient research on the color code has delayed its practical application. In this work, we address several key issues to facilitate practical…

Quantum Physics · Physics 2024-06-04 Jiaxuan Zhang , Yu-Chun Wu , Guo-Ping Guo

Quantum error correction, which utilizes logical qubits that are encoded as redundant multiple physical qubits to find and correct errors in physical qubits, is indispensable for practical quantum computing. Surface code is considered to be…

Machine Learning · Computer Science 2025-09-15 Hoshitaro Ohnishi , Hideo Mukai

With gate error rates in multiple technologies now below the threshold required for fault-tolerant quantum computation, the major remaining obstacle to useful quantum computation is scaling, a challenge greatly amplified by the huge…

Quantum Physics · Physics 2021-12-09 Kianna Wan , Soonwon Choi , Isaac H. Kim , Noah Shutty , Patrick Hayden