Maximal Violation of Bell’s Inequalities for Continuous Variable Systems

  • Chen Z
  • Pan J
  • Hou G
 et al. 
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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.

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  • Zeng Bing Chen

  • Jian Wei Pan

  • Guang Hou

  • Yong De Zhang

  • Jian Wei Pan

  • Yong De Zhang

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