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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Lecture 1: One-shot Quantum Information Theory I:
Entropic Quantities - Datta\, N (University of Cam
bridge)
DTSTART;TZID=Europe/London:20130904T140000
DTEND;TZID=Europe/London:20130904T150000
UID:TALK46941AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/46941
DESCRIPTION:Optimal rates of quantum information-processing ta
sks\, such as compression and transmission of info
rmation\, and manipulation of entanglement\, were
initially obtained in the so-called "asymptotic\,
memoryless setting". In this setting\, the underly
ing resources (e.g. information sources\, channels
and entanglement resources) are assumed to be mem
oryless\, and to be available for asymptotically m
any uses. The optimal rates were shown to be given
in terms of entropic quantities expressible in te
rms of the quantum relative entropy.\n\nIn real-wo
rld communications and cryptographic systems\, thi
s setting is not generally valid: resources are us
ed a finite number of times\, and there may be cor
relations between their successive uses. Hence\, i
t is important to evaluate the fundamental limits
on information-processing tasks in the "one-shot s
etting"\, in which one considers a finite number o
f uses of arbitrary resources. \n\nIn the first le
cture\, I will discuss entropic quantities which p
lay an important role in the one-shot setting\, hi
ghlighting their salient mathematical properties a
nd operational significances. \n\nIn the second le
cture\, I will focus on the problem of transmissio
n of information through quantum channels\, to ill
ustrate how some of the entropic quantities (intro
duced in the first lecture) arise naturally in the
one-shot setting.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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