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UID:0142f063528e148313c9877950f3c920
CATEGORIES:Mathematical Physics Seminar
CREATED:20230209T104110
SUMMARY:Duality and monotonicity for some inequalities of quantum information theory
LOCATION:Hill Center Room 705
DESCRIPTION:<p style="text-align: left;">Abstract: The data processing inequality says 
 that the standard&nbsp;quantum relative entropy is monotone decreasing unde
 r the application&nbsp;of an&nbsp;quantum operation; i.e., trace preserving
  completely positive map. It&nbsp;is one of the many equivalent forms of th
 e strong subadditivity of&nbsp;quantum&nbsp;entropy, and is a prototypical 
 monotonicity inequality. In this talk I&nbsp;will present an approach to pr
 oving&nbsp; such inequalities based on&nbsp;duality, and in&nbsp;particular
 , Legendre transforms, that yields new results as well as&nbsp;simple proof
 s of some known results. This is in part recent joint work&nbsp;with&nbsp;A
 lexander Mueller-Hermes and Haonan Zhang</p>
CONTACT:Eric Carlen  – Rutgers University 
DTSTAMP:20260922T054154
DTSTART;TZID=America/New_York:20230209T120000
DTEND;TZID=America/New_York:20230209T130000
SEQUENCE:0
TRANSP:OPAQUE
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