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Open Quantum Systems Decoherence Entanglement Theory Quantum Correlations Quantum Foundations

An invertible map between Bell non-local and contextuality scenarios

arXiv

Authors: Victoria J Wright, Máté Farkas

Year

2022

Paper ID

6591

Status

Preprint

Abstract Read

~2 min

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Abstract

We present an invertible map between correlations in any bipartite Bell scenario and behaviours in a family of contextuality scenarios. The map takes local, quantum and non-signalling correlations to non-contextual, quantum and contextual behaviours, respectively. Consequently, we find that the membership problem of the set of quantum contextual behaviours is undecidable, the set cannot be fully realised via finite dimensional quantum systems and is not closed. Finally, we show that neither this set nor its closure is the limit of a sequence of computable supersets, due to the result MIP*=RE.

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We present an invertible map between correlations in any bipartite Bell scenario and behaviours in a family of contextuality scenarios.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2211.12550 [2] arXiv https://arxiv.org/abs/2211.12550 [3] Publisher https://arxiv.org/abs/2211.12550

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