Local and nonlocal content of bipartite qubit and qutrit correlations

Abstract

The local and nonlocal contents of nonlocal probability distributions are studied using the approach of Elitzur, Popescu, and Rohrlich. This work focuses on distributions that can be obtained by single-copy von Neumann measurements on bipartite quantum systems. For pure two-qubit states | Ψ (θ) =cosθ | 00 +sinθ | 11 (with cosθ sinθ), the local content of the corresponding probability distribution is found to lie between 1-sin2θ and cos2θ. For the family | Ψ (γ) = (| 00 + | 11 +γ | 22 ) / 2+ γ2 of two-qutrit states, nonzero local content is found for γ>2. © 2008 The American Physical Society.