Nonsequential positive-operator-valued measurements on entangled mixed states do not always violate a Bell inequality

Abstract

We present a local-hidden-variable model for positive-operator-valued measurements (an LHVPOV model) on a class of entangled generalized Werner states, thus demonstrating that such measurements do not always violate a Bell-type inequality. We also show that, in general, if the state ${\rho }^{\prime }$ can be obtained from $\rho$ with certainty by local quantum operations without classical communication then an LHVPOV model for the state $\rho$ implies the existence of such a model for ${\rho }^{\prime }$.

4 pages, no figures. Title changed to accord with Phys. Rev. A version. Journal reference added

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