量子态和通道的距离测量：性质和应用。

IF 3.7 3区综合性期刊 Q1 MULTIDISCIPLINARY SCIENCES

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences Pub Date : 2025-10-09 DOI:10.1098/rsta.2024.0425

Vita Borovyk, Badri N Vellambi

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引用次数: 0

摘要

鉴别量子态和量子通道是量子计算和量子信息理论领域的一项重要任务。度量和统计距离构成了为这项任务提出的各种方法的工具。我们分析了现有的结果，比较了每种方法的性质、主要目的、可计算性和优缺点。本文是专题“数值分析、谱图理论、正交多项式和量子算法”的一部分。

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Distance measures for quantum states and channels: properties and applications.

Discriminating between quantum states and channels is an important task in the field of quantum computation and quantum information theory. Metrics and statistical distances form the tools for various approaches proposed for this task. We analyse existing results to compare properties, main purpose, computability and advantages and disadvantages of each approach.This article is part of the theme issue 'Numerical analysis, spectral graph theory, orthogonal polynomials and quantum algorithms'.

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来源期刊

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 综合性期刊-综合性期刊

CiteScore

9.30

自引率

2.00%

发文量

367

审稿时长

3 months

期刊介绍： Continuing its long history of influential scientific publishing, Philosophical Transactions A publishes high-quality theme issues on topics of current importance and general interest within the physical, mathematical and engineering sciences, guest-edited by leading authorities and comprising new research, reviews and opinions from prominent researchers.