KMS Of Academy of mathematics and systems sciences, CAS
| FROM THE WIGNER FUNCTION TO THE s-ORDERED PHASE-SPACE DISTRIBUTION VIA A GAUSSIAN NOISE CHANNEL | |
Zhang, Yue1,2; Luo, Shunlong3,4
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| 2022-03-01 | |
| Source Publication | THEORETICAL AND MATHEMATICAL PHYSICS
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| ISSN | 0040-5779 |
| Volume | 210Issue:3Pages:425-441 |
| Abstract | Various phase-space distributions, from the celebrated Wigner function, to the Husimi Q function and the Glauber-Sudarshan P distribution, have played an interesting and important role in the phase-space formulation of quantum mechanics in general, and quantum optics in particular. A unified approach to all these distributions based on the notion of the 8-ordered phase-space distribution was introduced by Cahill and Glauber. With the intention of illuminating the physical meaning of the parameter s, we interpret the 8-ordered phase-space distribution as the Wigner function of a state under the Gaussian noise channel, and thus reveal an intrinsic connection between the 8-ordered phase-space distribution and the Gaussian noise channel, which yields a physical insight into the 8-ordered phase-space distribution. In this connection, the parameter -s/2 (rather than the original s) acquires the role of the noise occurring in the Gaussian noise channel. An alternative representation of the Gaussian noise channel as the scaling-measurement preparation in a coherent states is illuminated. Furthermore, by exploiting the freedom in the parameter s, we introduce a computable and experimentally testable quantifier for optical nonclassicality, reveal its basic properties, and illustrate it by typical examples. A simple and convenient criterion for optical nonclassicality in terms of the 8-ordered phase-space distribution is derived. |
| Keyword | Wigner function s-ordered phase-space distribution Gaussian noise channel noise parameter nonclassicality |
| DOI | 10.1134/S0040577922030126 |
| 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] ; China Postdoctoral Science Foundation[2021M690414] ; Beijing Postdoctoral Research Foundation[2021-ZZ-091] |
| WOS Research Area | Physics |
| WOS Subject | Physics, Multidisciplinary ; Physics, Mathematical |
| WOS ID | WOS:000772448700012 |
| Publisher | MAIK NAUKA/INTERPERIODICA/SPRINGER |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/60198 |
| Collection | 应用数学研究所 |
| Corresponding Author | Luo, Shunlong |
| Affiliation | 1.Beijing Acad Quantum Informat Sci, Beijing, Peoples R China 2.Peking Univ, Frontiers Sci Ctr Nanooptoelect, Sch Phys, State Key Lab Mesoscop Phys, Beijing, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 4.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China |
| Recommended Citation GB/T 7714 | Zhang, Yue,Luo, Shunlong. FROM THE WIGNER FUNCTION TO THE s-ORDERED PHASE-SPACE DISTRIBUTION VIA A GAUSSIAN NOISE CHANNEL[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2022,210(3):425-441. |
| APA | Zhang, Yue,&Luo, Shunlong.(2022).FROM THE WIGNER FUNCTION TO THE s-ORDERED PHASE-SPACE DISTRIBUTION VIA A GAUSSIAN NOISE CHANNEL.THEORETICAL AND MATHEMATICAL PHYSICS,210(3),425-441. |
| MLA | Zhang, Yue,et al."FROM THE WIGNER FUNCTION TO THE s-ORDERED PHASE-SPACE DISTRIBUTION VIA A GAUSSIAN NOISE CHANNEL".THEORETICAL AND MATHEMATICAL PHYSICS 210.3(2022):425-441. |
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