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Working Seminar on Quantum Computation and Quantum Information

Date: November 3, 2017

Time: 10:30AM - 11:30PM

Location: BLOC 628

Speaker: Ken Dykema, TAMU


Title: Synchronous correlation matrices and Connes' Embedding Problem.

Abstract: We show that Connes' Embedding Problem is equivalent to the question regarding synchornous quantum correlations, of whether the closure of $C_q^s(n,k)$ equals $C_{qc}^s(n,k)$ for all $n$ and $k$. The proof goes, in one direction, using Kirchberg's unitary moment approximation condition and in the other by use of matricial microstates to construct finite dimensional representatios. (Joint work with Vern Paulsen).