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SUMMARY:A new approach to prove von Neumann inequalities - David Sutter (E
 TH)
DTSTART:20190228T141500Z
DTEND:20190228T151500Z
UID:TALK117994@talks.cam.ac.uk
CONTACT:Johannes Bausch
DESCRIPTION:Entropy inequalities are linear inequalities relating the von 
 Neumann entropies of different overlapping marginals of a quantum state. T
 hese inequalities are a mathematical consequence of the postulates of quan
 tum mechanics and are an indispensable tool in quantum information science
 . All (unconstrained) entropy inequalities we know today follow from the c
 elebrated strong subadditivity of quantum entropy and it is a major open p
 roblem to prove an unconstrained entropy inequality that is independent of
  strong subadditivity.\nIn this talk I will present a novel approach to pr
 ove entropy inequalities based on recent developments on trace inequalitie
 s. This approach can be used to prove all entropy inequalities we currentl
 y know in a unified way. Furthermore\, it could be a useful tool in provin
 g the first unconstrained entropy inequality that does not trivially follo
 w from strong subadditivity.
LOCATION:MR4\, Centre for Mathematical Sciences\, Wilberforce Road\, Cambr
 idge
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