Multi-Component Bell Inequality and its Violation for Continuous Variable Systems

Details Multi-Component Bell Inequality and its Violation for Continuous Variable Systems Multi-Component Bell Inequality and its Violation for Continuous Variable Systems

2003-10-15

arxiv.org/abs/quant-ph/0310102v2

Phys. Rev. A 71, 032107 (2005)

Physics

Quantum Physics

5 pages and 1 figure, rewritten version, accepted by Phys. Rev. A

Scientific paper

10.1103/PhysRevA.71.032107

Multi-component correlation functions are developed by utilizing d-outcome measurements. Based on the multi-component correlation functions, we propose a Bell inequality for bipartite d-dimensional systems. Violation of the Bell inequality for continuous variable (CV) systems is investigated. The violation of the original Einstein-Podolsky-Rosen state can exceed the Cirel'son bound, the maximal violation is 2.96981. For finite value of squeezing parameter, violation strength of CV states increases with dimension d. Numerical results show that the violation strength of CV states with finite squeezing parameter is stronger than that of original EPR state.

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