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SUMMARY:Operator norm convergence for sequence of matrices and application
  to QIT - Collins\, B (University of Ottawa and AIMR)
DTSTART:20131015T130000Z
DTEND:20131015T140000Z
UID:TALK48149@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Random matrix theory is the study of probabilistic quantities 
 associated to random matrix models\, in the large dimension limit. The eig
 envalues counting measure and the eigenvalues spacing are amongst the most
  studied and best understood quantities. The purpose of this talk is to fo
 cus on a quantity that was less understood until recently\, namely the ope
 rator norm of random matrices. I will state recent results in this directi
 on\, and mention three applications to quantum information theory: -a- con
 vergence of the collection of images of pure states under typical quantum 
 channels (joint with Fukuda and Nechita) -b- thresholds for random states 
 to have the absolute PPT property (joint with Nechita and Ye)\, -c- new ex
 amples of k-positive maps (ongoing\, joint with Hayden and Nechita).\n
LOCATION:Seminar Room 1\, Newton Institute
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