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SUMMARY:Partial trace relations - Michael Wolf\, TU Munich
DTSTART:20250708T130000Z
DTEND:20250708T140000Z
UID:TALK234190@talks.cam.ac.uk
CONTACT:Bjarne Bergh
DESCRIPTION:The talk will discuss the relationship between partial traces 
 and their dilations for general complex matrices\, focusing on two main as
 pects: the existence of (joint) dilations and norm inequalities relating p
 artial traces and their dilations. Throughout\, particular attention will 
 be paid to rank constraints. We will prove the existence of joint dilation
 s of any rank larger than one and generalize Audenaert's subadditivity ine
 quality to encompass general matrices\, multiple tensor factors\, and diff
 erent norms. A central ingredient for this is a novel majorization relatio
 n for Kronecker sums. As an application\, we extend the interval of Werner
  states in which they are provably 2-undistillable.
LOCATION:Centre for Mathematical Sciences\, MR14
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