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

arXiv
Authors: Cyril Branciard

Year

2010

Paper ID

10980

Status

Preprint

Abstract Read

~2 min

Abstract Words

110

Citations

N/A

Abstract

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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  • 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...

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