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An enduring challenge in computer science is reducing the runtime required to solve computational problems. Quantum computing has attracted significant attention due to its potential to deliver asymptotically faster solutions to certain…

量子物理 · 物理学 2025-03-25 Mischa P. Woods

Quantum computing promises to help humanity solve problems that would otherwise be intractable on classical computers. Unlike today's machines, quantum computers use a novel computing process that leverages the foundational quantum…

物理与社会 · 物理学 2024-03-06 Matthias Troyer , Emily Violi Benjamin , Ani Gevorkian

I give a brief overview of fault-tolerant quantum computation, with an emphasis on recent work and open questions.

量子物理 · 物理学 2007-08-31 Daniel Gottesman

Experiments with superconducting quantum processors have successfully demonstrated the basic functions needed for quantum computation and evidence of utility, albeit without a sizable array of error-corrected qubits. The realization of the…

Quantum error correcting codes are designed to pinpoint exactly when and where errors occur in quantum circuits. This feature is the foundation of their primary task: to support fault-tolerant quantum computation. However, this feature…

量子物理 · 物理学 2024-03-18 James R. Wootton

I assess the potential of quantum computation. Broad and important applications must be found to justify construction of a quantum computer; I review some of the known quantum algorithms and consider the prospects for finding new ones.…

量子物理 · 物理学 2009-10-30 John Preskill

We analyze the problem of a quantum computer in a correlated environment protected from decoherence by QEC using a perturbative renormalization group approach. The scaling equation obtained reflects the competition between the dimension of…

量子物理 · 物理学 2007-05-23 E. Novais , Eduardo R. Mucciolo , Harold U. Baranger

A long-standing open question about Gaussian continuous-variable cluster states is whether they enable fault-tolerant measurement-based quantum computation. The answer is yes. Initial squeezing in the cluster above a threshold value of 20.5…

量子物理 · 物理学 2014-04-04 Nicolas C. Menicucci

A quantum operating system (QCOS) is a classic software running on classic hardware. The QCOS is preparing, starting, controlling and managing quantum computations. The reliable execution of fault-tolerant quantum computations will require…

量子物理 · 物理学 2024-10-18 Alexandru Paler

The presence of noise in quantum computers hinders their effective operation. Even though quantum error correction can theoretically remedy this problem, its practical realization is still a challenge. Testing and benchmarking noisy,…

量子物理 · 物理学 2023-02-15 Adrian Ortega , Orsolya Kálmán , Tamás Kiss

Quantum error correction protects fragile quantum information by encoding it into a larger quantum system. These extra degrees of freedom enable the detection and correction of errors, but also increase the operational complexity of the…

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

With the demonstrated ability to perform calculations in seconds that would take classical supercomputers thousands of years, quantum computers namely hold the promise of radically advancing sustainable IT. However, quantum computers face…

量子物理 · 物理学 2025-03-18 Sylvain Cordier , Karl Thibault , Marie-Luc Arpin , Ben Amor

Quantum computing promises revolutionary advances in modeling materials and molecules. However, the up-to-date runtime estimates for utility-scale applications on certain quantum hardware systems are in the order of years rendering quantum…

量子物理 · 物理学 2025-11-21 Katerina Gratsea , Matthew Otten

As far as we know, a useful quantum computer will require fault-tolerant gates, and existing schemes demand a prohibitively large space and time overhead. We argue that a first generation quantum computer will be very valuable to design,…

量子物理 · 物理学 2017-11-15 Pavithran S. Iyer , David Poulin

Demonstrating quantum advantage has been a pressing challenge in the field. Most claimed quantum speedups rely on a subroutine in which classical information can be accessed in a coherent quantum manner, which imposes a crucial constraint…

量子物理 · 物理学 2025-11-04 Nhat A. Nghiem

If a quantum computer is stabilized by fault-tolerant quantum error correction (QEC), then most of its resources (qubits and operations) are dedicated to the extraction of error information. Analysis of this process leads to a set of…

量子物理 · 物理学 2007-05-23 Andrew M. Steane

Continuous-Variable (CV) devices are a promising platform for demonstrating large-scale quantum information protocols. In this framework, we define a general quantum computational model based on a CV hardware. It consists of vacuum input…

量子物理 · 物理学 2019-02-06 Tom Douce , Damian Markham , Elham Kashefi , Peter van Loock , Giulia Ferrini

We analyze the influence of errors on the implementation of the quantum Fourier transformation (QFT) on the Ising quantum computer (IQC). Two kinds of errors are studied: (i) due to spurious transitions caused by pulses and (ii) due to…

量子物理 · 物理学 2007-10-29 Giuseppe Luca Celardo , Carlos Pineda , Marko Žnidarič

Physical implementations of cryptographic algorithms leak information, which makes them vulnerable to so-called side-channel attacks. The problem of secure computation in the presence of leakage is generally known as leakage resilience. In…

量子物理 · 物理学 2014-05-01 Felipe G. Lacerda , Joseph M. Renes , Renato Renner