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Entropy excesses as quantifiers of nonclassicality
Zhang, Yue1,2; Luo, Shunlong3,4
AbstractAny quantum state of a bosonic field can be described by a density operator on the system Hilbert space, or equivalently, by the corresponding Husimi function on the phase space. For the density operator, there is a family of quantum Tsallis entropies (including the von Neumann entropy as a particular instance) quantifying its uncertainty (mixedness), and for the Husimi function, there is a corresponding family of classical Tsallis entropies (including the Wehrl entropy as a particular instance) synthesizing its phase-space uncertainty. We propose to use the entropy excesses, i.e., the differences between the classical Tsallis entropies and the quantum Tsallis entropies, as quantifiers of nonclassicality of bosonic field states. We elaborate on this idea and highlight the entropy excess arising from the difference between the Wehrl (classical) entropy and the von Neumann (quantum) entropy as a significant indicator of nonclassicality. We further illustrate these nonclassicality quantifiers by several widely used states in quantum optics. This entropic approach to nonclassicality sheds light on the nature of nonclassicality from an information-theoretic perspective involving the heterodyne measurement.
Indexed BySCI
Funding ProjectNational Key R&D Program of China[2020YFA0712700] ; National Natural Science Foundation of China[11875317] ; National Natural Science Foundation of China[61833010]
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000647020700005
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Document Type期刊论文
Corresponding AuthorLuo, Shunlong
Affiliation1.Beijing Acad Quantum Informat Sci, Beijing 100193, Peoples R China
2.Peking Univ, Frontiers Sci Ctr Nanooptoelect, Sch Phys, State Key Lab Mesoscop Phys, Beijing 100871, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Yue,Luo, Shunlong. Entropy excesses as quantifiers of nonclassicality[J]. EUROPEAN PHYSICAL JOURNAL PLUS,2021,136(4):12.
APA Zhang, Yue,&Luo, Shunlong.(2021).Entropy excesses as quantifiers of nonclassicality.EUROPEAN PHYSICAL JOURNAL PLUS,136(4),12.
MLA Zhang, Yue,et al."Entropy excesses as quantifiers of nonclassicality".EUROPEAN PHYSICAL JOURNAL PLUS 136.4(2021):12.
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