## Wigner function, optical tomography of two-variable Hermite polynomial state, and its decoherence effects studied by the entangled-state representations |

JOSA B, Vol. 30, Issue 6, pp. 1614-1622 (2013)

http://dx.doi.org/10.1364/JOSAB.30.001614

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### Abstract

We analytically investigate the Wigner function (WF) and the optical tomography for the two-variable Hermite polynomial state (THPS) and the effect of decoherence on the THPS via the entangled-state representations. The nonclassicality of the THPS is investigated in terms of the partial negativity of the WF, which depends much on the polynomial orders

© 2013 Optical Society of America

**OCIS Codes**

(000.5490) General : Probability theory, stochastic processes, and statistics

(270.0270) Quantum optics : Quantum optics

(270.2500) Quantum optics : Fluctuations, relaxations, and noise

**ToC Category:**

Quantum Optics

**History**

Original Manuscript: January 8, 2013

Revised Manuscript: April 12, 2013

Manuscript Accepted: April 19, 2013

Published: May 22, 2013

**Citation**

Xiang-guo Meng, Zhen Wang, Ji-suo Wang, and Hong-yi Fan, "Wigner function, optical tomography of two-variable Hermite polynomial state, and its decoherence effects studied by the entangled-state representations," J. Opt. Soc. Am. B **30**, 1614-1622 (2013)

http://www.opticsinfobase.org/josab/abstract.cfm?URI=josab-30-6-1614

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