The s-parameterized Weyl－Wigner correspondence in the entangled form and its applications

doi:10.1088/1674-1056/19/6/060305

Abstract Based on the theory of integration within s-ordering of operators and the bipartite entangled state representation we introduce s-parameterized Weyl--Wigner correspondence in the entangled form. Some of its applications in quantum optics theory are presented as well.

Keywords: s-parameterized Wigner operator s-parameterized Weyl--Wigner correspondence integration within s-ordered product of operators technique

Received: 03 November 2009
Accepted manuscript online:

PACS:	42.50.Dv	(Quantum state engineering and measurements)
	03.65.Ud	(Entanglement and quantum nonlocality)
	03.67.Mn	(Entanglement measures, witnesses, and other characterizations)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.~10775097 and 10874174), and the President Foundation of the Chinese Academy of Sciences.

Cite this article:

Fan Hong-Yi(范洪义), Hu Li-Yun(胡利云), and Yuan Hong-Chun(袁洪春) The s-parameterized Weyl－Wigner correspondence in the entangled form and its applications 2010 Chin. Phys. B 19 060305

[1]	Cahill K E and Glauber R J 1969 Phys. Rev. 177 1857
[2]	Cahill K E and Glauber R J 1969 Phys. Rev. 177 1882
[3]	Weyl H 1927 Z. Phys. 46 1
[4]	Weyl H 1950 The Theory of Groups and Quantum Mechanics (New York: Dover Publications)
[5]	Fan H Y 2010 Chin. Phys . B 19 050303
[6]	Glauber R J 1963 Phys. Rev. 130 2529
[7]	Zhang W M, Feng D H and Gilmore R 1990 Rev. Mod. Phys. 62 867
[8]	Schleich W P 2001 Quantum Optics in Phase Space (New York: Wiley-VCH Berlin)
[9]	Walls D F and Milburn G 1994 Quantum Optics (Berlin: Springer-Verlag)
[10]	Fan H Y 2003 J. Opt. B: Quantum Semiclass. Opt. 5 R147
[11]	W\H{u nsche A 1999 J. Opt. B: Quantum Semiclass. Opt. 1 R11
[12]	Fan H Y and Klauder J R 1994 Phys. Rev. A 49 704
[13]	Fan H Y and Guo Q 2007 Commun. Theor. Phys. 48 823
[14]	Loudon R and Knight P L 1987 J. Mod. Opt. 34 709
[15]	Fan H Y and Fan Y 1996 Phys. Rev. A 54 958
[16]	Fan H Y and Fan Y 2002 Int. J. Mod. Phys. A 17 701
[17]	Fan H Y 1992 J. Phys. A : Math. Gen. 25 1013
[18]	Meng X G, Wang J S, Liang B L and Li H Q 2008 Chin. Phys. B 17 1791
[19]	Hu L Y and Fan H Y 2009 Chin. Phys. B 18 902

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The s-parameterized Weyl－Wigner correspondence in the entangled form and its applications

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