Entanglement and non-locality are different resources

Details Entanglement and non-locality are different resources Entanglement and non-locality are different resources

2004-12-14

arxiv.org/abs/quant-ph/0412109v5

New J. Phys. 7, 88 (2005)

Physics

Quantum Physics

8 pages, 3 figures

Scientific paper

10.1088/1367-2630/7/1/088

Bell's theorem states that, to simulate the correlations created by measurement on pure entangled quantum states, shared randomness is not enough: some "non-local" resources are required. It has been demonstrated recently that all projective measurements on the maximally entangled state of two qubits can be simulated with a single use of a "non-local machine". We prove that a strictly larger amount of this non-local resource is required for the simulation of pure non-maximally entangled states of two qubits $\ket{\psi(\alpha)}= \cos\alpha\ket{00}+\sin\alpha\ket{11}$ with $0<\alpha\lesssim\frac{\pi}{7.8}$.

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