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

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    74573_1.pdf (96.51Kb)
    Author(s)
    Hall, Michael JW
    Griffith University Author(s)
    Hall, Michael J.
    Year published
    2010
    Metadata
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    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 ...
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    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.
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    Journal Title
    Physical Review Letters
    Volume
    105
    Issue
    25
    DOI
    https://doi.org/10.1103/PhysRevLett.105.250404
    Copyright Statement
    © 2010 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.
    Subject
    Mathematical sciences
    Physical sciences
    Quantum information, computation and communication
    Quantum physics not elsewhere classified
    Engineering
    Publication URI
    http://hdl.handle.net/10072/42810
    Collection
    • Journal articles

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