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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Multiplicativity of completely bounded p-norms imp
lies a strong converse for entanglement-assisted c
apacity - Wilde\, M (Louisiana State University)
DTSTART;TZID=Europe/London:20131212T140000
DTEND;TZID=Europe/London:20131212T150000
UID:TALK49306AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/49306
DESCRIPTION:The fully quantum reverse Shannon theorem establis
hes the optimal rate of noiseless classical commun
ication required for simulating the action of many
instances of a noisy quantum channel on an arbitr
ary input state\, while also allowing for an arbit
rary amount of shared entanglement of an arbitrary
form. Turning this theorem around establishes a s
trong converse for the entanglement-assisted class
ical capacity of any quantum channel. The present
work proves the strong converse for entanglement-a
ssisted capacity by a completely different approac
h. Namely\, we exploit the recent entanglement-ass
isted "meta-converse" theorem of Matthews and Wehn
er\, several properties of the recently establishe
d sandwiched Renyi relative entropy (also referred
to as the quantum Renyi divergence)\, and the mul
tiplicativity of completely bounded p-norms due to
Devetak et al. The proof here demonstrates the ex
tent to which the Arimoto approach can be helpful
in proving strong converse theorems\, it provides
an operational relevance for the multiplicativity
result of Devetak et al.\, and it adds to the grow
ing body of evidence that the sandwiched Renyi rel
ative entropy is the correct quantum generalizatio
n of the classical concept for all alpha > 1. This
is joint work with Manish K. Gupta and is availab
le as arXiv:1310.7028.\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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