Using measurement induced disturbance to characterize correlations of multipartite non-k-classical states

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

International Journal of Quantum Information Pub Date : 2022-03-26 DOI:10.1142/s021974992250006x

Yinzhu Wang, Fang Zhou, Lili Yang, Donghua Yan, Hui Wu

{"title":"Using measurement induced disturbance to characterize correlations of multipartite non-k-classical states","authors":"Yinzhu Wang, Fang Zhou, Lili Yang, Donghua Yan, Hui Wu","doi":"10.1142/s021974992250006x","DOIUrl":null,"url":null,"abstract":"In [S. L. Luo, Using measurement induced disturbance to characterize correlations as classical or quantum, Phys. Rev. A77 (2008) 022301], the author presented a statistical correlation measure for bipartite quantum states using measurement induced disturbance. In this paper, motivated by this correlation measure, we obtain some necessary conditions for [Formula: see text]-classical states in multipartite quantum systems, and obtain a relation between the set of [Formula: see text]-classical states and the set of [Formula: see text]-product states; Secondly, we introduce a class of correlation measures based on trace distance using measurement induced disturbance in order to quantify the strength of correlation for non-[Formula: see text]-classical states; Lastly, we introduce the concept of quantum channel with respect to [Formula: see text]-partition, it is simply denoted by identical-[Formula: see text]-channel, and furthermore discuss the influences of the correlation measure under identical-[Formula: see text]-channel.","PeriodicalId":51058,"journal":{"name":"International Journal of Quantum Information","volume":" ","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2022-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"International Journal of Quantum Information","FirstCategoryId":"101","ListUrlMain":"https://doi.org/10.1142/s021974992250006x","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"COMPUTER SCIENCE, THEORY & METHODS","Score":null,"Total":0}

引用次数: 0

Abstract

In [S. L. Luo, Using measurement induced disturbance to characterize correlations as classical or quantum, Phys. Rev. A77 (2008) 022301], the author presented a statistical correlation measure for bipartite quantum states using measurement induced disturbance. In this paper, motivated by this correlation measure, we obtain some necessary conditions for [Formula: see text]-classical states in multipartite quantum systems, and obtain a relation between the set of [Formula: see text]-classical states and the set of [Formula: see text]-product states; Secondly, we introduce a class of correlation measures based on trace distance using measurement induced disturbance in order to quantify the strength of correlation for non-[Formula: see text]-classical states; Lastly, we introduce the concept of quantum channel with respect to [Formula: see text]-partition, it is simply denoted by identical-[Formula: see text]-channel, and furthermore discuss the influences of the correlation measure under identical-[Formula: see text]-channel.

查看原文本刊更多论文

用测量引起的扰动表征多部分非k-经典态的相关性

在[S.L.Lo，使用测量诱导的扰动将相关性表征为经典或量子，Phys.Rev.A77（2008）022301]中，作者提出了使用测量诱导扰动的二分量子态的统计相关性度量。本文在这个相关测度的激励下，得到了多部分量子系统中[公式：见正文]-经典态的一些必要条件，并得到了[公式：看正文]-古典态的集合与[公式：见正文]-乘积态的集合之间的关系；其次，我们引入了一类基于迹线距离的相关测度，利用测度引起的扰动来量化非[公式：见正文]经典状态的相关性强度；最后，我们引入了关于[公式：见文本]-划分的量子通道的概念，它简单地用相同的-[公式：见图文本]-通道表示，并进一步讨论了相同的-[公式：见正文]-通道下相关测度的影响。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

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.