A Universal Representation for Quantum Commuting Correlations

• URL: http://arxiv.org/abs/2102.05827v2
• Date: Fri, 17 Jun 2022 16:25:22 GMT
• Title: A Universal Representation for Quantum Commuting Correlations
• Authors: Roy Araiza, Travis Russell, Mark Tomforde
• Abstract summary: We explicitly construct an Archimedean order unit space whose state space is affinely isomorphic to the set of quantum commuting correlations. 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.
• Score: 3.222802562733787
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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