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

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.

arXiv commentAccepted version. Previous title "The Elitzur-Popescu-Rohrlich approach to quantum non-locality" changed for editorial reasons

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Cited by in corpus (17)

• Bell nonlocality
• Quantifying Einstein-Podolsky-Rosen steering
• Geometry of the set of quantum correlations
• Quantatitive relations between measurement incompatibility, quantum steering, and nonlocality
• Multipartite fully-nonlocal quantum states
• The local content of all pure two-qubit states
• Simulation of partial entanglement with nonsignaling resources
• Quantum Correlations and Quantum Non-locality: a review and a few new ideas
• Geometry of quantum correlations
• Various quantum nonlocality tests with a simple 2-photon entanglement source
• The non-locality of n noisy Popescu-Rohrlich boxes
• The local content of bipartite qubit correlations
• Bipartite qutrit local realist inequalities and the robustness of their quantum mechanical violation
• The minimal communication cost for simulating entangled qubits
• Local correlations of mixed two-qubit states
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