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X-FROM-URL:https://eom.sdu.dk/events/ical/9247b0c0-6ee4-4b27-8bab-04f1a4fd
 13e3
X-WR-CALNAME:QM Research Seminar: Ordered Vector Spaces and Hierarchies in
  Quantum Information
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TZID:Europe/Copenhagen
X-LIC-LOCATION:Europe/Copenhagen
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DTSTAMP:20260602T163438Z
DTSTART:20261028T030000
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DTSTART:20260325T020000
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DESCRIPTION:[b]Speaker: Martin Plávala[/b] (University of Siegen) [nl][nl]
 \n[b]Abstract:[/b][nl]\nWe review recent results on tensor products of th
 e ordered vector spaces: we show that the tensor product is almost never 
 uniquely defined due to the existence of entanglement between any non-cla
 ssical (non-simplical) cones\, and we present a hierarchy of convex optim
 ization programs that aim to determine whether a given vector is entangle
 d or not. We then apply these abstract mathematical results to two proble
 ms in quantum information: semi-device independent certification of Schmi
 dt rank and semi-device independent certification of number of incompatib
 le measurements\, where we obtain hierarchies of outer approximation by s
 emi-definite programming problems. Moreover we show that these outer appr
 oximations yield bounds that are relevant for potential experimental impl
 ementations. Finally we discuss other applications of the presented abstr
 act hierarchies to problems in quantum information and other fields.\n[nl
 ]\n[nl]
DTEND:20240418T140000Z
DTSTAMP:20260602T163438Z
DTSTART:20240418T130000Z
LOCATION:Syddansk Universitet\, Campusvej 55\, 5230\, Odense M
SEQUENCE:0
SUMMARY:QM Research Seminar: Ordered Vector Spaces and Hierarchies in Quan
 tum Information
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