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Runtime optimization of the quantum computing within a given computational resource is important to achieve practical quantum advantage. In this paper, we propose a runtime reduction protocol for the lattice surgery, which utilizes the soft…

Quantum Physics · Physics 2025-10-27 Yutaro Akahoshi , Riki Toshio , Jun Fujisaki , Hirotaka Oshima , Shintaro Sato , Keisuke Fujii

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…

The field of quantum computation currently lacks a formal proof of experimental feasibility. Qubits are fragile and sophisticated quantum error correction is required to achieve reliable quantum computation. The surface code is a promising…

Quantum Physics · Physics 2012-12-04 Austin G. Fowler

The first generations of quantum computers will execute fault-tolerant quantum circuits, and it is very likely that such circuits will use surface quantum error correcting codes. To the best of our knowledge, no complete design automation…

Quantum Physics · Physics 2019-02-08 Alexandru Paler

Quantum code surgery is a promising technique to perform fault-tolerant computation on quantum low-density parity-check codes. Recent developments have significantly reduced the space overhead of surgery. However, generic surgery operations…

Quantum Physics · Physics 2025-10-17 Alexander Cowtan , Zhiyang He , Dominic J. Williamson , Theodore J. Yoder

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…

Quantum Physics · Physics 2025-09-05 Kai Zhang , Jubo Xu , Fang Zhang , Linghang Kong , Zhengfeng Ji , Jianxin Chen

Surface codes can protect quantum information stored in qubits from local errors as long as the per-operation error rate is below a certain threshold. Here we propose holonomic surface codes by harnessing the quantum holonomy of the system.…

Quantum Physics · Physics 2018-03-07 Jiang Zhang , Simon J. Devitt , J. Q. You , Franco Nori

The surface code is a quantum error-correcting code for one logical qubit, protected by spatially localized parity checks in two dimensions. Due to fundamental constraints from spatial locality, storing more logical qubits requires either…

Quantum Physics · Physics 2024-10-15 Yifan Hong , Matteo Marinelli , Adam M. Kaufman , Andrew Lucas

As the leading candidate of quantum error correction codes, surface code suffers from significant overhead, such as execution time. Reducing the circuit's execution time not only enhances its execution efficiency but also improves fidelity.…

Quantum Physics · Physics 2023-12-27 Mingzheng Zhu , Hao Fu , Jun Wu , Chi Zhang , Wei Xie , Xiang-Yang Li

This is a comprehensive review on fault-tolerant topological quantum computation with the surface codes. The basic concepts and useful tools underlying fault-tolerant quantum computation, such as universal quantum computation, stabilizer…

Quantum Physics · Physics 2015-04-08 Keisuke Fujii

Hamiltonian simulation is one of the most promising candidates for the demonstration of quantum advantage within the next ten years, and several studies have proposed end-to-end resource estimates for executing such algorithms on…

Quantum Physics · Physics 2025-06-11 Tyler LeBlond , Ryan S. Bennink

Large-scale quantum information processing requires the use of quantum error correcting codes to mitigate the effects of noise in quantum devices. Topological error-correcting codes, such as surface codes, are promising candidates as they…

Quantum Physics · Physics 2023-03-27 Kunihiro Wasa , Shin Nishio , Koki Suetsugu , Michael Hanks , Ashley Stephens , Yu Yokoi , Kae Nemoto

One of the main challenge for an efficient implementation of quantum information technologies is how to counteract quantum noise. Quantum error correcting codes are therefore of primary interest for the evolution towards quantum computing…

Quantum Physics · Physics 2023-02-28 Lorenzo Valentini , Diego Forlivesi , Marco Chiani

Lattice surgery is a measurement-based technique for performing fault-tolerant quantum computation in two dimensions. When using the surface code, the most general lattice surgery operations require lattice irregularities called twist…

Quantum Physics · Physics 2022-05-04 Christopher Chamberland , Earl T. Campbell

Fault-tolerant quantum computers are expected to be offered as cloud services due to their significant resource and infrastructure requirements. Quantum multiprogramming, which runs multiple quantum jobs in parallel, is a promising approach…

Quantum Physics · Physics 2025-12-10 Shin Nishio , Ryo Wakizaka , Daisuke Sakuma , Yosuke Ueno , Yasunari Suzuki

Modular architectures are a promising approach to scaling quantum computers to fault tolerance. Small, low-noise quantum processors connected through relatively noisy quantum links are capable of fault-tolerant operation as long as the…

Quantum Physics · Physics 2025-10-16 Trond Hjerpekjøn Haug , Timo Hillmann , Anton Frisk Kockum , Raphaël Van Laer

It is well understood that a two-dimensional grid of locally-interacting qubits is a promising platform for achieving fault tolerant quantum computing. However in the near-future, it may prove less challenging to develop lower dimensional…

Quantum Physics · Physics 2024-11-28 Adam Siegel , Armands Strikis , Michael Fogarty

The network paradigm for quantum computing involves interconnecting many modules to form a scalable machine. Typically it is assumed that the links between modules are prone to noise while operations within modules have significantly higher…

Quantum Physics · Physics 2016-10-05 Ying Li , Simon C. Benjamin

Holistic resource estimates are essential for guiding the development of fault-tolerant quantum algorithms and the computers they will run on. This is particularly true when we focus on highly-constrained early fault-tolerant devices. Many…

Quantum circuits are the preferred formalism for expressing quantum information processing tasks. Quantum circuit design automation methods mostly use a waterfall approach and consider that high level circuit descriptions are hardware…

Quantum Physics · Physics 2018-11-12 Alexandru Paler , Austin G. Fowler , Robert Wille