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SUMMARY:The classical entropy of quantum states - Solovej\, JP (University
  of Copenhagen)
DTSTART:20131014T103000Z
DTEND:20131014T113000Z
UID:TALK48088@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-author: Elliott Lieb (Princeton University) \n\nTo quantify
  the inherent uncertainty of quantum states Wehrl ('79) suggested a defini
 tion of their classical entropy based on the coherent state transform. He 
 conjectured that this classical entropy is minimized by states that also m
 inimize the Heisenberg uncertainty inequality\, i.e.\, Gaussian coherent s
 tates. Lieb ('78) proved this conjecture and conjectured that the same hol
 ds when Euclidean Glauber coherent states are replaced by SU(2) Bloch cohe
 rent states. This generalized Wehrl conjecture has been open for almost 35
  years until it was settled last year in joint work with Elliott Lieb. Rec
 ently we simplified the proof and generalized it to SU(N) for general N. I
  will present this here.\n 
LOCATION:Seminar Room 1\, Newton Institute
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