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Quantum algorithms face significant challenges due to qubit susceptibility to environmental noise, and quantum error correction typically requires prohibitive resource overhead. This paper proposes that quantum algorithms may possess…

量子物理 · 物理学 2025-11-04 Fusheng Yang , Zhipeng Liang , Zhengzhong Yi , Xuan Wang

The analysis of noisy quantum states prepared on current quantum computers is getting beyond the capabilities of classical computing. Quantum neural networks based on parametrized quantum circuits, measurements and feed-forward can process…

量子物理 · 物理学 2024-09-19 Petr Zapletal , Nathan A. McMahon , Michael J. Hartmann

The error threshold of a one-parameter family of quantum channels is defined as the largest noise level such that the quantum capacity of the channel remains positive. This in turn guarantees the existence of a quantum error correction code…

量子物理 · 物理学 2021-10-29 Johannes Bausch , Felix Leditzky

Continuous variable measurement-based quantum computation on cluster states has in recent years shown great potential for scalable, universal, and fault-tolerant quantum computation when combined with the Gottesman-Kitaev-Preskill (GKP)…

Quantum error correction protocols have been developed to offset the high sensitivity to noise inherent in quantum systems. However, much is still unknown about the behaviour of a quantum error-correcting code under general noise, including…

量子物理 · 物理学 2021-06-09 Stefanie J. Beale , Joel J. Wallman

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…

量子物理 · 物理学 2025-01-29 Hayata Yamasaki , Masato Koashi

Understanding fault-tolerant properties of quantum circuits is important for the design of large-scale quantum information processors. In particular, simulating properties of encoded circuits is a crucial tool for investigating the…

量子物理 · 物理学 2014-11-19 Easwar Magesan , Daniel Puzzuoli , Christopher E. Granade , David G. Cory

We show how to realize a general quantum circuit involving gates between arbitrary pairs of qubits by means of geometrically local quantum operations and efficient classical computation. We prove that circuit-level local stochastic noise…

量子物理 · 物理学 2024-02-22 Shin Ho Choe , Robert Koenig

Error mitigation (EM) methods are crucial for obtaining reliable results in the realm of noisy intermediate-scale quantum (NISQ) computers, where noise significantly impacts output accuracy. Some EM protocols are particularly efficient for…

量子物理 · 物理学 2026-03-03 Thibault Scoquart , Hugo Perrin , Kyrylo Snizhko

Recently, a lot of effort has been devoted towards designing erasure qubits in which dominant physical noise excites leakage states whose population can be detected and returned to the qubit subspace. Interest in these erasure qubits has…

量子物理 · 物理学 2024-08-05 Kathleen Chang , Shraddha Singh , Jahan Claes , Kaavya Sahay , James Teoh , Shruti Puri

Recently, it was realized that use of the properties of quantum mechanics might speed up certain computations dramatically. Interest in quantum computation has since been growing. One of the main difficulties of realizing quantum…

量子物理 · 物理学 2008-02-03 Peter W. Shor

It has recently been shown that there are efficient algorithms for quantum computers to solve certain problems, such as prime factorization, which are intractable to date on classical computers. The chances for practical implementation,…

量子物理 · 物理学 2009-10-30 Adriano Barenco , Todd A. Brun , Ruediger Schack , Tim Spiller

Characterizing and mitigating errors in current noisy intermediate-scale devices is important to improve performance of next generations of quantum hardware. In order to investigate the importance of the different noise mechanisms affecting…

量子物理 · 物理学 2023-02-14 Gabriele Cenedese , Giuliano Benenti , Maria Bondani

Fault tolerant protocol assumes the application of error correction after every quantum gate. However, correcting errors is costly in terms of time and number of qubits. Here we demonstrate that quantum error correction can be applied…

量子物理 · 物理学 2015-06-18 Yaakov S. Weinstein

In this short review, I draw attention to new developments in the theory of fault tolerance in quantum computation that may give concrete direction to future work in the development of superconducting qubit systems. The basics of quantum…

量子物理 · 物理学 2015-05-13 David P. DiVincenzo

Noise rates in quantum computing experiments have dropped dramatically, but reliable qubits remain precious. Fault-tolerance schemes with minimal qubit overhead are therefore essential. We introduce fault-tolerant error-correction…

量子物理 · 物理学 2018-08-06 Rui Chao , Ben W. Reichardt

To make arbitrarily accurate quantum computation possible, practical realization of quantum computers will require suppressing noise in quantum memory and gate operations to make it below a threshold value. A scheme based on realistic…

量子物理 · 物理学 2007-05-23 Lu-Ming Duan , Guang-Can Guo

Coherent errors, and especially those that occur in correlation among a set of qubits, are detrimental for large-scale quantum computing. Correlations in noise can occur as a result of spatial and temporal configurations of instructions…

I will give an overview of what I see as some of the most important future directions in the theory of fault-tolerant quantum computation. In particular, I will give a brief summary of the major problems that need to be solved in fault…

量子物理 · 物理学 2022-10-31 Daniel Gottesman

Concatenating quantum error correction codes scales error correction capability by driving logical error rates down double-exponentially across levels. However, the noise structure shifts under concatenation, making it hard to choose an…

量子物理 · 物理学 2026-04-17 Nico Meyer , Christopher Mutschler , Dominik Seuß , Andreas Maier , Daniel D. Scherer