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Tsirelson's Problem and Asymptotically Commuting Unitary Matrices (1211.2712v2)
Published 12 Nov 2012 in math.OA, math-ph, math.FA, and math.MP
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.