Continuous Multipartite Entangled State in Wigner Representation and the Violation of Zukowski-Brukner Inequality
Chunfeng Wu, Jing-Ling Chen, L. C. Kwek, C. H. Oh, Kang Xue
Abstract
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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