资源相对熵的连续性

IF 0.7 4区物理与天体物理 Q3 COMPUTER SCIENCE, THEORY & METHODS

International Journal of Quantum Information Pub Date : 2024-05-29 DOI:10.1142/s0219749924400094

Ludovico Lami, Maksim Shirokov

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引用次数: 0

摘要

我们提出了一个标准，用以确定任何量子资源理论中资源相对熵的局部连续性，即与自由态集合的相对熵距离。我们提出了这一准则的几个基本推论。还考虑了多方量子系统中纠缠的相对熵的应用。研究特别表明，任何多方纠缠相对熵的局部连续性都来自量子互信息的局部连续性。

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Continuity of the relative entropy of resource

We present a criterion to establish the local continuity of the relative entropy of resource, i.e. the relative entropy distance to the set of free states, in any quantum resource theory. Several basic corollaries of this criterion are presented. Applications to the relative entropy of entanglement in multipartite quantum systems are considered. It is shown, in particular, that local continuity of any relative entropy of multipartite entanglement follows from local continuity of the quantum mutual information.

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来源期刊

International Journal of Quantum Information 物理-计算机：理论方法

CiteScore

2.20

自引率

8.30%

发文量

审稿时长

10 months

期刊介绍： The International Journal of Quantum Information (IJQI) provides a forum for the interdisciplinary field of Quantum Information Science. In particular, we welcome contributions in these areas of experimental and theoretical research: Quantum Cryptography Quantum Computation Quantum Communication Fundamentals of Quantum Mechanics Authors are welcome to submit quality research and review papers as well as short correspondences in both theoretical and experimental areas. Submitted articles will be refereed prior to acceptance for publication in the Journal.