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Quantifying the quantumness of ensembles
Li, Nan1; Luo, Shunlong; Mao, Yuanyuan
Source PublicationPHYSICAL REVIEW A
AbstractWe quantify the quantumness of quantum ensembles in terms of noncommutativity between pairs of the square root of the constituent states. We prove that this measure satisfies desirable and intuitive properties required naturally for a measure of quantumness, such as positivity, unitary invariance, subadditivity, concavity under probabilistic union, convexity under state decomposition, decreasing under coarse graining, and increasing under fine graining. Some applications and implications are indicated.
Funding ProjectNational Natural Science Foundation of China[11375259] ; National Natural Science Foundation of China[11405262] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences[Y029152K51] ; Key Laboratory of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182]
WOS Research AreaOptics ; Physics
WOS SubjectOptics ; Physics, Atomic, Molecular & Chemical
WOS IDWOS:000408339600004
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Document Type期刊论文
Corresponding AuthorLi, Nan
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Li, Nan,Luo, Shunlong,Mao, Yuanyuan. Quantifying the quantumness of ensembles[J]. PHYSICAL REVIEW A,2017,96(2):5.
APA Li, Nan,Luo, Shunlong,&Mao, Yuanyuan.(2017).Quantifying the quantumness of ensembles.PHYSICAL REVIEW A,96(2),5.
MLA Li, Nan,et al."Quantifying the quantumness of ensembles".PHYSICAL REVIEW A 96.2(2017):5.
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