Tsirelson's Problem and Asymptotically Commuting Unitary Matrices
arXiv:1211.2712 · doi:10.1063/1.4795391
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)