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SUMMARY:Embezzlement of entanglement - Vern  Paulsen (University of Waterl
 oo)
DTSTART:20241115T093000Z
DTEND:20241115T113000Z
UID:TALK224503@talks.cam.ac.uk
DESCRIPTION:Van Dam and Haydon looked at the task of ``catalytically produ
 cing entanglement"\, argued that in the usual tensor model it could not be
  achieved in the usual tensor model but also showed that given any margin 
 of error one could convince an observer that it had been accomplished. In 
 our work with R. CLeve and L.Liu we proved that one could accomplish this 
 task in the commuting model. &nbsp\;Our prof used L. Brown's non-commuting
  unitary C*-algebra which is very akin to the C*-algebra of the quantum gr
 oup U_n^+. S. Harris showed questions about Brown's algebra arising from t
 his work are equivalent to &nbsp\;Connes' Embedding Probelm(CEP). This led
  to a theory of unitary correlation sets that parallels Tsirelson's proble
 ms and yields another equivalence to CEP.\nWe will also look at later work
  that considers the task of catalytically producing the catalytic state an
 d of recent work about universal embezzlement which shows type III-1 facto
 rs are needed.
LOCATION:Seminar Room 2\, Newton Institute
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