Nonclassicality in phase space and nonclassical correlation

Petr Marek, M. S. Kim, and Jinhyoung Lee
Phys. Rev. A 79, 052315 – Published 14 May 2009

Abstract

Continuous-variable entanglement is a manifestation of nonclassicality of quantum states. In this paper, we attempt to analyze whether and under which conditions nonclassicality can be used as an entanglement criterion. We adopt the well-accepted definition of nonclassicality in the form of lack of well-defined positive Glauber-Sudarshan P function describing the state. After demonstrating that the classicality of subsystems is not sufficient for the nonclassicality of the overall state to be identifiable with entanglement, we focus on Gaussian states and find specific local unitary transformations required to arrive at this equivalency. This is followed by the analysis of quantitative relation between nonclassicality and entanglement.

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  • Received 8 October 2008

DOI:https://doi.org/10.1103/PhysRevA.79.052315

©2009 American Physical Society

Authors & Affiliations

Petr Marek

  • Department of Optics, Palacký University, 17. listopadu 50, 77200 Olomouc, Czech Republic and School of Mathematics and Physics, The Queen’s University, Belfast BT7 1NN, United Kingdom

M. S. Kim

  • School of Mathematics and Physics, The Queen’s University, Belfast BT7 1NN, United Kingdom

Jinhyoung Lee

  • Department of Physics, Hanyang University, Seoul 133-791, Korea

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Issue

Vol. 79, Iss. 5 — May 2009

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