FROM THE WIGNER FUNCTION TO THE s-ORDERED PHASE-SPACE DISTRIBUTION VIA A GAUSSIAN NOISE CHANNEL

doi:10.1134/S0040577922030126

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	FROM THE WIGNER FUNCTION TO THE s-ORDERED PHASE-SPACE DISTRIBUTION VIA A GAUSSIAN NOISE CHANNEL
	Zhang, Yue 3,4; Luo, Shunlong 1,2
刊名	THEORETICAL AND MATHEMATICAL PHYSICS
	2022-03-01
卷号	210 期号:3 页码:425-441
关键词	Wigner function s-ordered phase-space distribution Gaussian noise channel noise parameter nonclassicality
ISSN号	0040-5779
DOI	10.1134/S0040577922030126
英文摘要	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.
资助项目	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研究方向	Physics
语种	英语
出版者	MAIK NAUKA/INTERPERIODICA/SPRINGER
WOS记录号	WOS:000772448700012
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/60197]
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Univ Chinese Acad Sci, Sch Math Sci, Beijing, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 3.Beijing Acad Quantum Informat Sci, Beijing, Peoples R China 4.Peking Univ, Frontiers Sci Ctr Nanooptoelect, Sch Phys, State Key Lab Mesoscop Phys, Beijing, Peoples R China
推荐引用方式 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.