Continuous Multipartite Entangled State in Wigner Representation and the Violation of Zukowski-Brukner Inequality

Physics – Quantum Physics

Scientific paper

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5 pages, rewritten version, accepted by Phys. Rev. A

Scientific paper

10.1103/PhysRevA.71.022110

We construct an explicit Wigner function for N-mode squeezed state. Based on a previous observation that the Wigner function describes correlations in the joint measurement of the phase-space displaced parity operator, we investigate the non-locality of multipartite entangled state by the violation of Zukowski-Brukner N-qubit Bell inequality. We find that quantum predictions for such squeezed state violate these inequalities by an amount that grows with the number N.

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