arXiv Quantum Physics
arXiv Quantum Physics
Preprint
4 years ago

Bell violations from arbitrary joint measurability structures. (arXiv:2008.10100v1 [quant-ph])

Shiv Akshar Yadavalli, Nikola Andrejic, Ravi Kunjwal
Measurement incompatibility is necessary but not sufficient for violation of a Bell inequality. The structure of (in)compatibility relations among a set of measurements can be represented by a joint measurability structure, i.e., a hypergraph with its vertices representing measurements and its hyperedges representing all (and only) compatible sets of measurements. We show that for any joint measurability structure that admits at least a pair of incompatible vertices (i.e., a non-trivial joint measurability structure), there exists a quantum realization with a set of measurements that enables a Bell violation. In other words, we identify, for any joint measurability structure, an incompatible set of measurements that is sufficient for a Bell violation.

Publisher URL: http://arxiv.org/abs/2008.10100

DOI: arXiv:2008.10100v1

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