Detection Loophole in Bell experiments: How post-selected local correlations can look non-local

Details Detection Loophole in Bell experiments: How post-selected local correlations can look non-local Detection Loophole in Bell experiments: How post-selected local correlations can look non-local

2010-10-06

arxiv.org/abs/1010.1178v2

Phys. Rev. A 83, 032123 (2011)

Physics

Quantum Physics

9 pages, 3 figures

Scientific paper

10.1103/PhysRevA.83.032123

A common problem in Bell type experiments is the well-known detection loophole: if the detection efficiencies are not perfect and if one simply post-selects the conclusive events, one might observe a violation of a Bell inequality, even though a local model could have explained the experimental results. In this paper, we analyze the set of all post-selected correlations that can be explained by a local model, and show that it forms a polytope, larger than the Bell local polytope. We characterize the facets of this post-selected local polytope in the CHSH scenario, where two parties have binary inputs and outcomes. Our approach gives new insights on the detection loophole problem.

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