ON-LINE QLunch: Ion Nechita

Speaker: Ion Nechita

Title: The PPT^2 conjecture holds for diagonal unitary covariant maps

Abstract: I will show that the PPT^2 conjecture holds for linear maps between matrix algebras which are covariant under the action of the diagonal unitary group. Many salient examples, such as Choi-type maps, classical maps, Schur multipliers, and mixtures thereof, lie in this class. The proof relies on a generalization of the matrix-theoretic notion of factor width for pairwise completely positive matrices, and a complete characterization in the case of factor width two. This is joint work with Satvik Singh.

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