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SUMMARY:Benjamin McKenna: Moment-based approach to the injective norm of r
 andom tensors
DTSTART:20260408T120000Z
DTEND:20260408T130000Z
DTSTAMP:20260413T143400Z
UID:indico-event-16370@indico.math.cnrs.fr
DESCRIPTION:The injective norm is a natural generalization to tensors of t
 he operator norm of a matrix. In quantum information\, the injective norm 
 is one important measure of genuine multipartite entanglement of quantum s
 tates\, where it is known as the geometric entanglement. We present a new 
 kind of “moment method” for giving upper bounds on the expected inject
 ive norm of real and complex random tensors\, corresponding to lower bound
 s on the geometric entanglement of random quantum states. Relative to prio
 r approaches\, the moment method has the benefit of being nonasymptotic\, 
 relatively elementary\, and applicable to non-Gaussian models\, while givi
 ng bounds that are sometimes tight. Joint work with Stéphane Dartois.\n\n
 https://indico.math.cnrs.fr/event/16370/
URL:https://indico.math.cnrs.fr/event/16370/
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