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DTSTART:20190331T030000
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DTSTART:20181028T020000
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DTSTAMP:20260404T015747Z
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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