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Fault-tolerant quantum computing based on surface codes has emerged as a popular route to large-scale quantum computers capable of accurate computation even in the presence of noise. Its popularity is, in part, because the fault-tolerance…

Quantum Physics · Physics 2022-07-04 Jing Hao Chai , Hui Khoon Ng

One of the most promising routes towards scalable quantum computing is a modular approach. We show that distinct surface code patches can be connected in a fault-tolerant manner even in the presence of substantial noise along their…

Quantum Physics · Physics 2023-02-03 Joshua Ramette , Josiah Sinclair , Nikolas P. Breuckmann , Vladan Vuletić

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…

Quantum Physics · Physics 2022-12-15 Alexis T. E. Shaw , Michael J. Bremner , Alexandru Paler , Daniel Herr , Simon J. Devitt

Quantum networks serve as the means to transmit information, encoded in quantum bits or qubits, between quantum processors that are physically separated. Given the instability of qubits, the design of such networks is challenging,…

Quantum Physics · Physics 2023-10-23 Tianjie Hu , Jindi Wu , Qun Li

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

Whether it is at the fabrication stage or during the course of the quantum computation, e.g. because of high-energy events like cosmic rays, the qubits constituting an error correcting code may be rendered inoperable. Such defects may…

Quantum Physics · Physics 2023-07-26 Adam Siegel , Armands Strikis , Thomas Flatters , Simon Benjamin

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.…

Quantum Physics · Physics 2019-03-07 Daniel Litinski

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

To successfully execute large-scale algorithms, a quantum computer will need to perform its elementary operations near perfectly. This is a fundamental challenge since all physical qubits suffer a considerable level of noise. Moreover, real…

Quantum Physics · Physics 2023-06-29 Armands Strikis , Simon C. Benjamin , Benjamin J. Brown

The surface code is one the most promising alternatives for implementing fault-tolerant, large-scale quantum information processing. Its high threshold for single-qubit errors under stochastic noise is one of its most attrative features. We…

Quantum Physics · Physics 2014-10-29 Pejman Jouzdani , E. Novais , I. S. Tupitsyn , Eduardo R. Mucciolo

Quantum computation holds the promise of solving certain complex problems exponentially faster than classical computers. However, the high prevalent noise in current quantum devices impedes the accurate execution of even basic algorithms.…

Quantum Physics · Physics 2026-05-13 Prithviraj Prabhu

The surface code is a powerful quantum error correcting code that can be defined on a 2-D square lattice of qubits with only nearest neighbor interactions. Syndrome and data qubits form a checkerboard pattern. Information about errors is…

Quantum Physics · Physics 2010-11-24 Austin G. Fowler , David S. Wang , Lloyd C. L. Hollenberg

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…

Quantum Physics · Physics 2025-02-12 César Benito , Esperanza López , Borja Peropadre , Alejandro Bermudez

As quantum computing hardware steadily increases in qubit count and quality, one important question is how to allocate these resources to mitigate the effects of hardware noise. In a transitional era between noisy small-scale and fully…

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

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 usual scenario in fault tolerant quantum computation involves certain amount of qubits encoded in each code block, transversal operations between them and destructive measurements of ancillary code blocks. We introduce a new approach in…

Quantum Physics · Physics 2015-05-13 H. Bombin , M. A. Martin-Delgado

This article provides an introduction to surface code quantum computing. We first estimate the size and speed of a surface code quantum computer. We then introduce the concept of the stabilizer, using two qubits, and extend this concept to…

Quantum Physics · Physics 2012-10-30 Austin G. Fowler , Matteo Mariantoni , John M. Martinis , Andrew N. Cleland

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

Connecting multiple processors via quantum interconnect technologies could help overcome scalability issues in single-processor quantum computers. Transmission via these interconnects can be performed more efficiently using quantum…

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