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- [Formula presented] 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. © 2002 The American Physical Society.
CITATION STYLE
Chen, Z. B., Pan, J. W., Hou, G., Zhang, Y. D., Pan, J. W., & Zhang, Y. D. (2002). Maximal Violation of Bell’s Inequalities for Continuous Variable Systems. Physical Review Letters, 88(4), 4. https://doi.org/10.1103/PhysRevLett.88.040406
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