What does an experimental test of quantum contextuality prove or disprove?
arXiv:1408.0945 · doi:10.1088/1751-8113/47/42/424031
Abstract
The possibility to test experimentally the Bell-Kochen-Specker theorem is investigated critically, following the demonstrations by Meyer, Kent and Clifton-Kent that the predictions of quantum mechanics are indistinguishable (up to arbitrary precision) from those of a non-contextual model, and the subsequent debate to which extent these models are actually classical or non-contextual. The present analysis starts from a careful consideration these "finite-precision" approximations. A stronger condition for non-contextual models, dubbed <ontological faithfulness>, is exhibited. It is shown that it allows to formulate approximately the constraints in Bell-Kochen-Specker theorems such as to render the usual proofs robust. As a consequence, one can experimentally test to finite precision ontologically faithful non-contextuality, and thus experimentally refute explanations from this smaller class. We include a discussion of the relation of ontological faithfulness to other proposals to overcome the finite precision objection.
arXiv commentREVTEX4, 9 pages, 57 references; corrected example 7 in v2. To appear in Journal of Physics A, special issue "50 years of Bell's theorem"
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