KMS Of Academy of mathematics and systems sciences, CAS
| Entropy excesses as quantifiers of nonclassicality | |
Zhang, Yue1,2; Luo, Shunlong3,4
| |
| 2021-04-28 | |
| Source Publication | EUROPEAN PHYSICAL JOURNAL PLUS
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| ISSN | 2190-5444 |
| Volume | 136Issue:4Pages:12 |
| Abstract | Any 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. |
| DOI | 10.1140/epjp/s13360-021-01459-z |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Key R&D Program of China[2020YFA0712700] ; National Natural Science Foundation of China[11875317] ; National Natural Science Foundation of China[61833010] |
| WOS Research Area | Physics |
| WOS Subject | Physics, Multidisciplinary |
| WOS ID | WOS:000647020700005 |
| Publisher | SPRINGER HEIDELBERG |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/58657 |
| Collection | 应用数学研究所 |
| Corresponding Author | Luo, Shunlong |
| Affiliation | 1.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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