Test of nonlocality for a continuos-variable state based on arbitrary number of measurement outcomes

Abstract

We propose a scheme to test Bell's inequalities for an arbitrary number of measurement outcomes on entangled continuous variable states. The Bell correlation functions are expressible in terms of phase-space quasiprobability functions with complex ordering parameter, which can experimentally be determined both directly via local CV-qubit interaction or indirectly via tomographic reconstructions. We demonstrate that continuous-variable systems can give stronger violations of these Bell's inequalities than of the ones developed for two-outcome observables. Thus, while keeping the feasibility of the phase-space approach, our scheme increases its efficiency.

4 pages, 2 figures

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• Bell inequalities for arbitrarily high dimensional systems
• Quantum Nonlocality in Phase Space
• Maximal Violation of Bell's Inequalities for Continuous Variable Systems
• Generic Bell inequalities for multipartite arbitrary dimensional systems
• Correspondence between continuous variable and discrete quantum systems of arbitrary dimensions
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