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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Quantum Channel Simulation and the Channel&\;#3
9\;s Smooth Max-Information - Kun Fang (University
of Technology Sydney)
DTSTART;TZID=Europe/London:20180724T114500
DTEND;TZID=Europe/London:20180724T123000
UID:TALK108289AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/108289
DESCRIPTION:Co-authors: Xin Wang (Centre for Quantum Sof
tware and Information\, University of Technology S
ydney)\, Marco Tomamichel (Centre for Quantum Soft
ware and Information\, University of Technology Sy
dney)\, Mario Berta (Department of Computing\, Imp
erial College London)
We study the g
eneral framework of quantum channel simulation\, t
hat is\, the ability of a quantum channel to simul
ate another one using different classes of codes.
First\, we show that the minimum error of simulat
ion and the one-shot quantum simulation cost under
no-signalling assisted codes are efficiently comp
utable via semidefinite programming. Second\, we i
ntroduce the channel'\;s smooth max-information
\, which can be seen as a one-shot generalization
of the mutual information of a quantum channel. We
provide an exact operational interpretation of th
e channel'\;s smooth max-information as the one
-shot quantum simulation cost. Third\, we derive t
he asymptotic equipartition property (AEP) of the
channel'\;s smooth max-information\, i.e.\, it
converges to the quantum mutual information of the
channel in the independent and identically distri
buted asymptotic limit. This implies the quantum r
everse Shannon theorem (QRST) in the presence of n
o-signalling correlations. Finally\, we explore fi
nite blocklength simulation cost of fundamental qu
antum channels and provide both numerical and anal
ytical solutions.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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