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SUMMARY:Free compression norms and Lp norms - Collins\, B (University of O
 ttawa and AIMR)
DTSTART:20130904T143000Z
DTEND:20130904T153000Z
UID:TALK46940@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Co-authors: Serban Belinschi (Queen's)\, Ion Nechita (CNRS\, T
 oulouse UPS)\n\nI will talk about a new norm that shows up naturally in th
 e framework of random quantum channels. This norm relies on free probabili
 ty theory and is called the free compression norm. We show that the proble
 m of comparing it to Lp norms has applications to the understanding of the
  minimum output entropy (MOE) of typical quantum random channels. As an ap
 plication\, we establish violation of additivity of the MOE for typical qu
 antum channels with Bell states\, and find in this framework the optimal o
 utput dimension and the optimal violation.\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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