Tsirelson's problem and asymptotically commuting unitary matrices

Ozawa, Narutaka
March 2013
Journal of Mathematical Physics;Mar2013, Vol. 54 Issue 3, p032202
Academic Journal
In this paper, 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.


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