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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Operator norm convergence for sequence of matrices
and application to QIT - Collins\, B (University
of Ottawa and AIMR)
DTSTART;TZID=Europe/London:20131015T140000
DTEND;TZID=Europe/London:20131015T150000
UID:TALK48149AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/48149
DESCRIPTION:Random matrix theory is the study of probabilistic
quantities associated to random matrix models\, i
n the large dimension limit. The eigenvalues count
ing measure and the eigenvalues spacing are amongs
t the most studied and best understood quantities.
The purpose of this talk is to focus on a quantit
y that was less understood until recently\, namely
the operator norm of random matrices. I will stat
e recent results in this direction\, and mention t
hree applications to quantum information theory: -
a- convergence of the collection of images of pure
states under typical quantum channels (joint with
Fukuda and Nechita) -b- thresholds for random sta
tes to have the absolute PPT property (joint with
Nechita and Ye)\, -c- new examples of k-positive m
aps (ongoing\, joint with Hayden and Nechita).\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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