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CATEGORIES:Information Theory Seminar
SUMMARY:Discriminating Classical and Quantum Channels - Bj
arne Bergh\, University of Cambridge
DTSTART;TZID=Europe/London:20230301T140000
DTEND;TZID=Europe/London:20230301T150000
UID:TALK197644AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/197644
DESCRIPTION:Channel discrimination is in its simplest form is
the hypothesis testing problem where we are given
a black-box channel which can be one of two candid
ate channels and the task is to find out which one
it is. We are interested in optimal asymptotic er
ror rates for this problem\, and in particular whe
ther adaptivity (i.e. choosing the inputs of the c
hannel uses based on previous outcomes) is require
d for optimal strategies. For the simple discrimin
ation problem just described\, it has previously b
een shown that adaptivity is asymptotically not re
quired when the channels are classical\, whereas i
n the quantum case adaptivity gives an advantage f
or the symmetric but not the asymmetric error expo
nent. We study the more general composite problem\
, i.e. the problem where we donâ€™t have two single
candidate channels\, but two sets of candidate cha
nnels\, and focus on the asymmetric case. There we
show that for classical channels adaptivity can g
ive an asymptotic advantage\, however we also prov
e optimality of non-adaptive strategies when the s
ets of channels are convex. For the equivalent pro
blem with quantum channels we prove an entropic ex
pression for the Stein exponent using non-adaptive
strategies. \n\nThe talk will start by introducin
g the problem for classical channels\, and illustr
ate previous work and associated results. It will
subsequently give a brief introduction of the requ
ired concepts from quantum information theory befo
re addressing the quantum problem.
LOCATION:MR5\, CMS Pavilion A
CONTACT:Prof. Ramji Venkataramanan
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