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Partial trace relations

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If you have a question about this talk, please contact Bjarne Bergh .

The talk will discuss the relationship between partial traces and their dilations for general complex matrices, focusing on two main aspects: the existence of (joint) dilations and norm inequalities relating partial traces and their dilations. Throughout, particular attention will be paid to rank constraints. We will prove the existence of joint dilations of any rank larger than one and generalize Audenaert’s subadditivity inequality to encompass general matrices, multiple tensor factors, and different norms. A central ingredient for this is a novel majorization relation for Kronecker sums. As an application, we extend the interval of Werner states in which they are provably 2-undistillable.

This talk is part of the CQIF Seminar series.

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Mondays (unless otherwise stated), 13.05 – 14.00 in the Kenneth Craik Room Craik Marshall Building, Downing Site TCM Lecture Theatre, Cavendish Laboratory The Paykel Lectures

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