A Universal Representation for Quantum Commuting Correlations
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Publication:6360366
DOI10.1007/S00023-022-01197-7arXiv2102.05827MaRDI QIDQ6360366
Mark Tomforde, Roy Araiza, Travis Russell
Publication date: 10 February 2021
Abstract: 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 fundamental techniques from the theory of order unit spaces and operator systems. Our main results are achieved by characterizing when a finite set of positive contractions in an Archimedean order unit space can be realized as a set of projections on a Hilbert space.
Operator spaces and completely bounded maps (46L07) Quantum coherence, entanglement, quantum correlations (81P40)
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