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DTSTART:20190331T030000
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DTSTAMP:20230325T164805Z
UID:5b4d8fb086fcf246864640@ist.ac.at
DTSTART:20190214T154500
DTEND:20190214T180000
DESCRIPTION:Speaker: Giacomo de Palma\nhosted by Robert Seiringer\nAbstract
: The conditional Entropy Power Inequality is a fundamental inequality in
information theory\, stating that the conditional entropy of the sum of tw
o conditionally independent vector-valued random variables each with an as
signed conditional entropy is minimum when the random variables are Gaussi
an. We prove two new quantum generalizations of the conditional Entropy Po
wer Inequality. In the first one\, the vector-valued random variables are
still classical but the conditioning system is quantum. In the second one\
, the conditioning system is quantum and the vector-valued random variable
s are replaced by quantum states of a Gaussian quantum system. The proof i
s based on the heat semigroup and on a generalization of the Stam inequali
ty in the presence of quantum conditioning. The Entropy Power Inequalities
with quantum conditioning will be key tools of quantum information. Among
their many possible applications there are the proof of a new uncertainty
relation for the conditional Wehrl entropy and converse theorems in distr
ibuted source coding protocols with the assistance of quantum entanglement
.
LOCATION:Big Seminar room Ground floor / Office Bldg West (I21.EG.101)\, IS
TA
ORGANIZER:cpetz@ist.ac.at
SUMMARY:Giacomo de Palma: The Entropy Power Inequalities with quantum condi
tioning
URL:https://talks-calendar.ista.ac.at/events/1572
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