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math.OA2021★ 1 cited
Matricial Archimedean order unit spaces and quantum correlations
Roy Araiza, Travis Russell, Mark Tomforde
We introduce a matricial analogue of an Archimedean order unit space, which we call a -AOU space. We develop the category of -AOU spaces and -positive maps and exhibit fun…
quant-ph2021★ 5 cited
A Universal Representation for Quantum Commuting Correlations
Roy Araiza, Travis Russell, Mark Tomforde
We explicitly construct an Archimedean order unit space whose state space is affinely isomorphic to the set of quantum commuting correlations. Our construction only requires fundam…