Maximal Violation of Bell’s Inequalities for Continuous Variable Systems

Zeng-Bing Chen; Jian-Wei Pan; Guang Hou; Yong-De Zhang

doi:10.1103/PhysRevLett.88.040406

Maximal Violation of Bell’s Inequalities for Continuous Variable Systems

Zeng-Bing Chen, Jian-Wei Pan, Guang Hou, and Yong-De Zhang

Phys. Rev. Lett. 88, 040406 – Published 14 January 2002

Abstract

We generalize Bell’s inequalities to biparty systems with continuous quantum variables. This is achieved by introducing the Bell operator in perfect analogy to the usual spin- $1 / 2$ systems. It is then demonstrated that two-mode squeezed vacuum states display quantum nonlocality by using the generalized Bell operator. In particular, the original Einstein-Podolsky-Rosen states, which are the limiting case of the two-mode squeezed vacuum states, can maximally violate Bell’s inequality due to Clauser, Horne, Shimony, and Holt. The experimental aspect of our scheme is briefly considered.

Received 10 September 2001

DOI:https://doi.org/10.1103/PhysRevLett.88.040406

Authors & Affiliations

Zeng-Bing Chen¹, Jian-Wei Pan^1,2, Guang Hou¹, and Yong-De Zhang^3,1

¹Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui 230027, People's Republic of China
²Institut für Experimentalphysik, Universität Wien, Boltzmanngasse 5, 1090 Wien, Austria
³CCAST (World Laboratory), P.O. Box 8730, Beijing 100080, People's Republic of China