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In principle a 1D array of nearest-neighbour linked qubits is compatible with fault tolerant quantum computing. However such a restricted topology necessitates a large overhead for shuffling qubits and consequently the fault tolerance…

量子物理 · 物理学 2018-06-12 Ying Li , Simon C. Benjamin

Over the past decade, research in quantum computing has tended to fall into one of two camps: near-term intermediate scale quantum (NISQ) and fault-tolerant quantum computing (FTQC). Yet, a growing body of work has been investigating how to…

量子物理 · 物理学 2024-09-02 Amara Katabarwa , Katerina Gratsea , Athena Caesura , Peter D. Johnson

Fault-tolerant schemes can use error correction to make a quantum computation arbitrarily ac- curate, provided that errors per physical component are smaller than a certain threshold and in- dependent of the computer size. However in…

Many current quantum error-correcting codes that achieve full fault tolerance suffer from having low ratios of logical to physical qubits and significant overhead. This makes them difficult to implement on current noisy intermediate-scale…

量子物理 · 物理学 2026-05-22 Christopher Gerhard , Todd A. Brun

The threshold theorem is a fundamental result in the theory of fault-tolerant quantum computation stating that arbitrarily long quantum computations can be performed with a polylogarithmic overhead provided the noise level is below a…

量子物理 · 物理学 2024-03-15 Omar Fawzi , Alexander Müller-Hermes , Ala Shayeghi

Topological color codes defined by the 4.8.8 semiregular lattice feature geometrically local check operators and admit transversal implementation of the entire Clifford group, making them promising candidates for fault-tolerant quantum…

量子物理 · 物理学 2014-02-14 Ashley M. Stephens

We introduce the notion of fault-tolerant quantum metrology to overcome noise beyond our control -- associated with sensing the parameter, by reducing the noise in operations under our control -- associated with preparing and measuring…

量子物理 · 物理学 2019-08-29 Theodoros Kapourniotis , Animesh Datta

When estimating the eigenvalues of a given observable, even fault-tolerant quantum computers will be subject to errors, namely algorithmic errors. These stem from approximations in the algorithms implementing the unitary passed to phase…

量子物理 · 物理学 2024-03-11 Adam Siegel , Kosuke Mitarai , Keisuke Fujii

We consider a two-dimensional quantum memory of qubits on a torus which encode the extended Fibonaccistring-net code, and devise strategies for error correction when those qubits are subjected to depolarizing noise.Building on the concept…

量子物理 · 物理学 2021-04-12 Alexis Schotte , Guanyu Zhu , Lander Burgelman , Frank Verstraete

Blind quantum computation is an appealing use of quantum information technology because it can conceal both the client's data and the algorithm itself from the server. However, problems need to be solved in the practical use of blind…

量子物理 · 物理学 2021-11-23 Chia-Hung Chien , Rodney Van Meter , Sy-Yen Kuo

We formulate a scheme for fault-tolerant quantum computation that works effectively against highly biased noise, where dephasing is far stronger than all other types of noise. In our scheme, the fundamental operations performed by the…

量子物理 · 物理学 2008-11-21 Panos Aliferis , John Preskill

This paper reports on experiments realized on several IBM 5Q chips which show evidence for the advantage of using error detection and fault-tolerant design of quantum circuits. We show an average improvement of the task of sampling from…

量子物理 · 物理学 2018-09-12 Christophe Vuillot

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…

量子物理 · 物理学 2020-04-02 David K. Tuckett , Stephen D. Bartlett , Steven T. Flammia , Benjamin J. Brown

We describe a fault-tolerant version of the one-way quantum computer using a cluster state in three spatial dimensions. Topologically protected quantum gates are realized by choosing appropriate boundary conditions on the cluster. We…

量子物理 · 物理学 2007-07-24 Robert Raussendorf , Jim Harrington , Kovid Goyal

The overhead of quantum error correction (QEC) poses a major bottleneck for realizing fault-tolerant computation. To reduce this overhead, we exploit the idea of erasure qubits, relying on an efficient conversion of the dominant noise into…

量子物理 · 物理学 2025-09-30 Shouzhen Gu , Alex Retzker , Aleksander Kubica

In the shallow sub-threshold regime, fault-tolerant quantum computation requires a tremendous amount of qubits. In this paper, we study the error correction in the deep sub-threshold regime. We estimate the physical error rate for achieving…

量子物理 · 物理学 2020-09-22 Dawei Jiao , Ying Li

Quantum error correction and fault-tolerance make it possible to perform quantum computations in the presence of imprecision and imperfections of realistic devices. An important question is to find the noise rate at which errors can be…

量子物理 · 物理学 2016-06-30 Christopher Chamberland , Tomas Jochym-O'Connor , Raymond Laflamme

Achieving error rates that meet or exceed the fault-tolerance threshold is a central goal for quantum computing experiments, and measuring these error rates using randomized benchmarking is now routine. However, direct comparison between…

量子物理 · 物理学 2016-10-26 Richard Kueng , David M. Long , Andrew C. Doherty , Steven T. Flammia

The study of new error correcting codes has raised attention in the last years, especially because of their use in cryptosystems that are resistant to attacks running on quantum computers. In 2006, while leaving a more in-depth analysis for…

组合数学 · 数学 2020-03-31 Emanuele Bellini , Chiara Marcolla , Nadir Murru

Quantum phase estimation is one of the critical building blocks of quantum computing. For early fault-tolerant quantum devices, it is desirable for a quantum phase estimation algorithm to (1) use a minimal number of ancilla qubits, (2)…

量子物理 · 物理学 2023-11-08 Hongkang Ni , Haoya Li , Lexing Ying