Faithful test of nonlocal realism with entangled coherent states

Chang-Woo Lee, Mauro Paternostro, and Hyunseok Jeong
Phys. Rev. A 83, 022102 – Published 8 February 2011

Abstract

We investigate the violation of Leggett’s inequality for nonlocal realism using entangled coherent states and various types of local measurements. We prove mathematically the relation between the violation of the Clauser-Horne-Shimony-Holt form of Bell’s inequality and Leggett’s one when tested by the same resources. For Leggett inequalities, we generalize the nonlocal realistic bound to systems in Hilbert spaces larger than bidimensional ones and introduce an optimization technique that allows one to achieve larger degrees of violation by adjusting the local measurement settings. Our work describes the steps that should be performed to produce a self-consistent generalization of Leggett’s original arguments to continuous-variable states.

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  • Received 2 September 2010

DOI:https://doi.org/10.1103/PhysRevA.83.022102

©2011 American Physical Society

Authors & Affiliations

Chang-Woo Lee1, Mauro Paternostro2, and Hyunseok Jeong1,*

  • 1Center for Macroscopic Quantum Control & Department of Physics and Astronomy, Seoul National University, Seoul 151-747, Korea
  • 2School of Mathematics and Physics, Queen’s University, Belfast BT7 1NN, United Kingdom

  • *h.jeong37@gmail.com

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Vol. 83, Iss. 2 — February 2011

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