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arXiv · 0712.2307

On the local and non-local content of bipartite qubit and qutrit correlations

Valerio Scarani
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Abstract

The local and non-local contents of non-local probability distributions are studied using the approach of Elitzur, Popescu and Rohrlich [Phys. Lett. A \textbf{162}, 25 (1992)]. This work focuses on distributions that can be obtained by single-copy von Neumann measurements on bipartite quantum systems. For pure two-qubit states Psi(theta)=cos(theta)|00>+sin(theta)|11>, with cos(theta)>=sin(theta), the local content of the corresponding probability distribution is found to lie between 1-sin(2*theta) and cos(2*theta). For the family Psi(gamma)= (|00>+|11>+gamma*|22>)/sqrt(2+gamma^2) of two-qutrit states, non-zero local content is found for gamma>2.

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Valerio Scarani. 2008-04-08. On the local and non-local content of bipartite qubit and qutrit correlations. https://doi.org/10.1103/physreva.77.042112

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