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arXiv · 1612.05680

Universal Bell Correlations Do Not Exist

Cole A. Graham·William M. Hoza
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Abstract

We prove that there is no finite-alphabet nonlocal box that generates exactly those correlations that can be generated using a maximally entangled pair of qubits. More generally, we prove that if some finite-alphabet nonlocal box is strong enough to simulate arbitrary local projective measurements of a maximally entangled pair of qubits, then that nonlocal box cannot itself be simulated using any finite amount of entanglement. We also give a quantitative version of this theorem for approximate simulations, along with a corresponding upper bound.

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Cole A. Graham, William M. Hoza. 2016-12-16. Universal Bell Correlations Do Not Exist. https://doi.org/10.1103/physrevlett.119.050402

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