The local content of bipartite qubit correlations

Abstract

One of the last open problems concerning two qubits in a pure state is to find the exact local content of their correlation, in the sense of Elitzur, Popescu and Rohrlich (EPR2) [Phys. Lett. A 162, 25 (1992)]. We propose a new EPR2 decomposition that allows us to prove, for a wide range of states psi(theta)=cos(theta)|00>+sin(theta)|11>, that their local content is pL(theta)=cos(2theta). We also share reflections on how to possibly extend our result to all two-qubit pure states.

References in corpus (2)

• On the local and non-local content of bipartite qubit and qutrit correlations
• Simulation of partial entanglement with nonsignaling resources

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• Multipartite fully-nonlocal quantum states
• The local content of all pure two-qubit states
• Quantum Correlations and Quantum Non-locality: a review and a few new ideas
• The minimal communication cost for simulating entangled qubits
• Device-independent quantum key distribution
• Local and Nonlocal Contents in N-qubit generalized GHZ states