Information-theoretic aspects of Werner states

doi:10.1016/j.aop.2020.168371

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	Information-theoretic aspects of Werner states
	Li, Nan 2,3; Luo, Shunlong 2,3; Sun, Yuan 1
刊名	ANNALS OF PHYSICS
	2021
卷号	424 页码:16
关键词	Werner states Quantum correlations Wigner-Yanase skew information Unitary group Quantum uncertainty Total uncertainty
ISSN号	0003-4916
DOI	10.1016/j.aop.2020.168371
英文摘要	In a seminal study of quantum states with Einstein-Podolsky-Rosen correlations (entanglement) admitting a hidden-variable model (Werner, 1989), Werner introduced the dichotomy of entanglement/separability and devised a family of highly symmetric states, now termed the Werner states, some of which exhibit entanglement but no Bell nonlocality. It turns out that the Werner states have a rich structure of correlations and constitute a paradigm which has played an innovative role in both theoretical and experimental explorations of quantum information. Given the theoretical significance and wide applications of the Werner states, here we first give a concise review of information contents of the Werner states, and then present an information-theoretic characterization of them in terms of the Wigner-Yanase skew information: The Werner states are identified as the states with the minimum quantum uncertainty with respect to a natural family of observables (i.e., the generators of the diagonal unitary group). For this purpose, we introduce a measure of quantum uncertainty which is of independent interest in studying asymmetry, coherence, and uncertainty, and reveal its fundamental properties. We further identify the Bell triplet states as the opposite states of the Werner states in the sense that they have the maximal amount of quantum uncertainty. Analogously, we provide a similar characterization of the isotropic states as the minimum quantum uncertainty states with respect to a closely related family of operators. (C) 2020 Elsevier Inc. All rights reserved.
资助项目	National Natural Science Foundation of China[11775298] ; National Natural Science Foundation of China[11875317] ; National Natural Science Foundation of China[12005104] ; National Natural Science Foundation of China[61833010] ; Youth Innovation Promotion Association of CAS, China[2020002]
WOS研究方向	Physics
语种	英语
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
WOS记录号	WOS:000608112400007
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/58015]
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li, Nan,Luo, Shunlong,Sun, Yuan. Information-theoretic aspects of Werner states[J]. ANNALS OF PHYSICS,2021,424:16.
APA	Li, Nan,Luo, Shunlong,&Sun, Yuan.(2021).Information-theoretic aspects of Werner states.ANNALS OF PHYSICS,424,16.
MLA	Li, Nan,et al."Information-theoretic aspects of Werner states".ANNALS OF PHYSICS 424(2021):16.