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SUMMARY:Limit formulas for norms of tensor power operators and entanglemen
 t annihilating maps - Alexander Müller-Hermes (University of Oslo)
DTSTART:20241205T090000Z
DTEND:20241205T100000Z
UID:TALK218635@talks.cam.ac.uk
DESCRIPTION:Given an operator between Banach spaces X and Y\, we consider 
 its tensor powers as operators from the k-fold injective tensor product of
  X to the k-fold projective tensor product of Y. We show that after taking
  the kth root\, the operator norms of these tensor power operators converg
 e to the 2-dominated norm (one of the standard operator ideal norms) of th
 e original operator. We discuss applications of this result to the problem
  of finding entanglement annihilating maps that are not entanglement break
 ing between pairs of proper cones\, a problem related to a major open prob
 lem in quantum information theory. \nJoint work with Guillaume Aubrun.\nFo
 r more information see: arxiv:2410.23063&nbsp\;\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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