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In a recent paper, the concept of synchronous quantum correlation matrices was introduced and these were shown to correspond to traces on certain C*-algebras.
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Tsirelson’s problem and Kirchberg’s conjecture,
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Graph homomorphisms for quantum players,
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Kochen-Specker sets and the rank-1 quantum chromatic number,
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Connes’ embedding problem and Tsirelson’s problem,
M. Junge, M. Navascues, C. Palazuelos, D. Perez-Garcia, V. B. Scholtz and R. F. Werner, · 2011
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Nuclearity related properties in operator systems,
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Operator systems from discrete groups,
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Binary constraint system games and locally commutative reductions
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Quotients, exactness, and nuclearity in the operator system category,
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About the Connes’ embedding problem–algebraic approaches,
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Quantum chromatic numbers via operator systems,
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Variations on a Theme: Graph Homomorphisms
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Estimating Quantum Chromatic Numbers
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