Nonlocality for continuous variable system with local symplectic operation

Abstract

We study Bell's theorem for two-mode squeezed state with realizable operations in experiment. For the purpose, we suggest the Bell-CHSH operator with photon presence measurement using symplectic operation and displacement. The symplectic operation can be decomposed into phase shifter and squeezing operation in single mode. These operations are realizable experimentally in quantum optics. As a result, we obtain a larger degree of quantum nonlocality by local symplectic operation and displacement.