Entanglement and non-locality are different resources

Abstract

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 $|\psi (\alpha )⟩=\cos \alpha |00⟩+\sin \alpha |11⟩$ with $0<\alpha \lesssim \frac{\pi }{7.8}$.

8 pages, 3 figures

References in corpus (2)

• Non-local correlations as an information theoretic resource
• The Communication Cost of Simulating Bell Correlations

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