Quantifying asymmetry via generalized Wigner–Yanase–Dyson skew information

doi:10.1088/1751-8121/ac07ec

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	Quantifying asymmetry via generalized Wigner–Yanase–Dyson skew information
	Sun,Yuan 1; Li,Nan 2,3
	2021-06-23
发表期刊	Journal of Physics A: Mathematical and Theoretical
ISSN	1751-8113
卷号	54 期号:29
摘要	AbstractAsymmetry is a useful physical resource which quantifies the extent to which a quantum state breaks a symmetry. Based on the generalization of Wigner–Yanase–Dyson skew information of quantum states for any operator (not necessarily Hermitian), we introduce an asymmetry measure of a quantum state with respect to a compact Lie group as the average skew information of this state for each operator in its unitary representation and prove that it meets the requirements for the resource theory of asymmetry. For several significant symmetry groups, such as the group U(1), the full unitary group, the local unitary group, the group UU, the group UU?, and the orthogonal group OO, we calculate the asymmetry of quantum states. Furthermore, we compare the asymmetry measure of quantum states with respect to a compact Lie group with the asymmetry measure of quantum states with respect to the corresponding Lie algebras introduced in (2020 Europhys. Lett. 130 30004 ) and illustrate that they are closely related, although they capture different aspects of asymmetry of quantum states.
关键词	asymmetry Wigner–Yanase–Dyson skew information Lie group
DOI	10.1088/1751-8121/ac07ec
语种	英语
WOS记录号	IOP:1751-8113-54-29-ac07ec
出版者	IOP Publishing
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/58530
专题	中国科学院数学与系统科学研究院
作者单位	1.School of Mathematical Sciences, Nanjing Normal University, Nanjing 210023, People’s Republic of China 2.Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China 3.School of Mathematical Sciences, University of the Chinese Academy of Sciences, Beijing 100049, People’s Republic of China
推荐引用方式 GB/T 7714	Sun,Yuan,Li,Nan. Quantifying asymmetry via generalized Wigner–Yanase–Dyson skew information[J]. Journal of Physics A: Mathematical and Theoretical,2021,54(29).
APA	Sun,Yuan,&Li,Nan.(2021).Quantifying asymmetry via generalized Wigner–Yanase–Dyson skew information.Journal of Physics A: Mathematical and Theoretical,54(29).
MLA	Sun,Yuan,et al."Quantifying asymmetry via generalized Wigner–Yanase–Dyson skew information".Journal of Physics A: Mathematical and Theoretical 54.29(2021).