  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.
