Maximal Violation of Bell's Inequalities for Continuous Variable Systems

Details Maximal Violation of Bell's Inequalities for Continuous Variable Systems Maximal Violation of Bell's Inequalities for Continuous Variable Systems

2001-03-11

arxiv.org/abs/quant-ph/0103051v3

Physical Review Letters 88, 040406 (2002)

Physics

Quantum Physics

RevTEX, 4 pages, no figure. An important note was added

Scientific paper

10.1103/PhysRevLett.88.040406

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 entangled 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 and nonlocality of arbitrary biparticle entangled pure states of continuous variables are briefly considered.

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