Entangled state for constructing a generalized phase-space representation and its statistical behavior

Li-yun Hu and Hong-yi Fan
Phys. Rev. A 80, 022115 – Published 19 August 2009

Abstract

We construct a generalized phase-space representation (GPSR) based on the idea of Einstein-Podolsky-Rosen quantum entanglement, i.e., we generalize the Torres-Vega-Frederick phase-space representation to the entangled case, which is characteristic of the features when two particles’ relative coordinate, total momentum operators, and their conjugative variables, respectively, operate on the GPSR. This representation is complete and nonorthogonal. The Weyl-ordered form of the density operator of GPSR is derived, and its identification with the generalized Husimi operator is recognized, which clearly exhibit its statistical behavior. The minimum uncertainty relation obeyed by the GPSR is also demonstrated.

  • Received 9 February 2009

DOI:https://doi.org/10.1103/PhysRevA.80.022115

©2009 American Physical Society

Authors & Affiliations

Li-yun Hu1,2 and Hong-yi Fan2

  • 1College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, People’s Republic of China
  • 2Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, People’s Republic of China

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Issue

Vol. 80, Iss. 2 — August 2009

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