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From asymmetry to correlations
Li, Nan1,2; Luo, Shunlong1,2; Sun, Yuan3
Source PublicationEPL
AbstractSymmetry, as well as the dual concept of asymmetry, are essential, powerful and ubiquitous in physics and nature. Motivated by the original Wigner-Yanase skew information and its extension by Dyson (Wigner E. P. and Yanase M. M., Proc. Natl. Acad. Sci. U.S.A., 49 (1963) 910), which quantifies the information content of a quantum state skew to a conserved observable and may be reinterpreted as asymmetry of a state with respect to an observable, we address the issue of quantifying asymmetry and symmetry of states with respect to Lie groups and Lie algebras. We elucidate that correlations arise naturally from the difference between asymmetries of global and local states. This provides a fundamental insight into correlations. The idea is further illustrated by several examples.
Keyword03 67 -a 03 65 Ta
Indexed BySCI
Funding ProjectNational Natural Science Foundation of China[11775298] ; National Natural Science Foundation of China[11875317] ; National Natural Science Foundation of China[61833010] ; National Center for Mathematics and Interdisciplinary Sciences, CAS[Y029152K51]
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000550905800004
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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
3.Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Peoples R China
Recommended Citation
GB/T 7714
Li, Nan,Luo, Shunlong,Sun, Yuan. From asymmetry to correlations[J]. EPL,2020,130(3):7.
APA Li, Nan,Luo, Shunlong,&Sun, Yuan.(2020).From asymmetry to correlations.EPL,130(3),7.
MLA Li, Nan,et al."From asymmetry to correlations".EPL 130.3(2020):7.
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