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Local Deterministic Model of Singlet State Correlations Based on Relaxing Measurement Independence

Michael J. W. Hall
Phys. Rev. Lett. 105, 250404 – Published 16 December 2010; Erratum Phys. Rev. Lett. 116, 219902 (2016)
Physics logo See Synopsis: Reality, locality, and “free will”

Abstract

The derivation of Bell inequalities requires an assumption of measurement independence, related to the amount of free will experimenters have in choosing measurement settings. Violation of these inequalities by singlet state correlations brings this assumption into question. A simple measure of the degree of measurement independence is defined for correlation models, and it is shown that all spin correlations of a singlet state can be modeled via giving up just 14% of measurement independence. The underlying model is deterministic and no signaling. It may thus be favorably compared with other underlying models of the singlet state, which require maximum indeterminism or maximum signaling. A local deterministic model is also given that achieves the maximum possible violation of the well-known Bell–Clauser-Horne-Shimony-Holt inequality, at a cost of only 1/3 of measurement independence.

  • Received 30 July 2010

DOI:https://doi.org/10.1103/PhysRevLett.105.250404

© 2010 The American Physical Society

Erratum

Synopsis

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Reality, locality, and “free will”

Published 3 January 2011

By relaxing certain assumptions, it is possible to describe quantum correlations as both local and real.

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Authors & Affiliations

Michael J. W. Hall

  • Theoretical Physics, Research School of Physics and Engineering, Australian National University, Canberra ACT 0200, Australia

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Issue

Vol. 105, Iss. 25 — 17 December 2010

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