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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Embezzlement of entanglement - Vern  Paulsen (Univ
 ersity of Waterloo)
DTSTART;TZID=Europe/London:20241115T093000
DTEND;TZID=Europe/London:20241115T113000
UID:TALK224503AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/224503
DESCRIPTION:Van Dam and Haydon looked at the task of ``catalyt
 ically producing entanglement"\, argued that in th
 e usual tensor model it could not be achieved in t
 he usual tensor model but also showed that given a
 ny 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 accompli
 sh this task in the commuting model. &nbsp\;Our pr
 of used L. Brown's non-commuting unitary C*-algebr
 a which is very akin to the C*-algebra of the quan
 tum group U_n^+. S. Harris showed questions about 
 Brown's algebra arising from this work are equival
 ent to &nbsp\;Connes' Embedding Probelm(CEP). This
  led to a theory of unitary correlation sets that 
 parallels Tsirelson's problems and yields another 
 equivalence to CEP.\nWe will also look at later wo
 rk that considers the task of catalytically produc
 ing the catalytic state and of recent work about u
 niversal embezzlement which shows type III-1 facto
 rs are needed.
LOCATION:Seminar Room 2\, Newton Institute
CONTACT:
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