Tsirelson's Problem and Asymptotically Commuting Unitary Matrices

Abstract

In this note, we consider quantum correlations of bipartite systems having a slight interaction, and reinterpret Tsirelson's problem (and hence Kirchberg's and Connes's conjectures) in terms of finite-dimensional asymptotically commuting positive operator valued measures. We also consider the systems of asymptotically commuting unitary matrices and formulate the Stronger Kirchberg Conjecture.

10 pages; Theorem referring Glimm's lemma removed, otherwise minor changes (v2)

References in corpus (2)

• Connes' embedding problem and Tsirelson's problem
• Tsirelson's problem and Kirchberg's conjecture

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