Locality, detection efficiencies, and probability polytopes

Details Locality, detection efficiencies, and probability polytopes Locality, detection efficiencies, and probability polytopes

2008-08-15

arxiv.org/abs/0808.2126v1

Physics

Quantum Physics

8 pages, 5 figures, 1 table

Scientific paper

10.1103/PhysRevA.78.032116

We present a detailed investigation of minimum detection efficiencies, below which locality cannot be violated by any quantum system of any dimension in bipartite Bell experiments. Lower bounds on these minimum detection efficiencies are determined with the help of linear programming techniques. Our approach is based on the observation that any possible bipartite quantum correlation originating from a quantum state in an arbitrary dimensional Hilbert space is sandwiched between two probability polytopes, namely the local (Bell) polytope and a corresponding nonlocal no-signaling polytope. Numerical results are presented demonstrating the dependence of these lower bounds on the numbers of inputs and outputs of the bipartite physical system.

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