Detection loophole in Bell experiments: How postselection modifies the requirements to observe nonlocality

Journal Article · Tue Mar 15 04:00:00 EDT 2011 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.83.032123· OSTI ID:21537395

Branciard, Cyril ^[1]

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1. Centre for Quantum Computer Technology, School of Mathematics and Physics, University of Queensland, St Lucia, Queensland 4072 (Australia)

A common problem in Bell-type experiments is the well-known detection loophole: if the detection efficiencies are not perfect and if one simply postselects 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 postselected 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 postselected local polytope in the Clauser-Horne-Shimony-Holt scenario, where two parties have binary inputs and outcomes. Our approach gives interesting insights on the detection loophole problem.

• OSTI ID: 21537395
• Journal Information: Physical Review. A, Journal Name: Physical Review. A Journal Issue: 3 Vol. 83; ISSN 1050-2947; ISSN PLRAAN
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BELL THEOREM
CORRELATIONS
DATA
EFFICIENCY
EXPERIMENTAL DATA
INFORMATION
NUMERICAL DATA