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SUMMARY:Martin Plávala (Universität Siegen)
DTSTART:20210513T060000Z
DTEND:20210513T070000Z
DTSTAMP:20260423T041751Z
UID:UTSQSI/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UTSQSI/23/">
 Jordan products of quantum channels and their compatibility</a>\nby Martin
  Plávala (Universität Siegen) as part of Centre for Quantum Software and
  Information Seminar Series\n\n\nAbstract\nGiven two quantum channels\, we
  examine the task of determining whether they are compatible - meaning tha
 t one can perform both channels simultaneously but\, in the future\, choos
 e exactly one channel whose output is desired (while forfeiting the output
  of the other channel). We show several results concerning this task. Firs
 t\, we show it is equivalent to the quantum state marginal problem\, i.e.\
 , every quantum state marginal problem can be recast as the compatibility 
 of two channels\, and vice versa. Second\, we show that compatible measure
 -and-prepare channels (i.e.\, entanglement-breaking channels) do not neces
 sarily have a measure-and-prepare compatibilizing (i.e.\, joint) channel. 
 Third\, we extend the notion of the Jordan product of matrices to quantum 
 channels and present sufficient conditions for channel compatibility. Last
 \, we formulate the different notions of compatibility as semidefinite pro
 grams and numerically test when families of partially dephasing-depolarizi
 ng channels are compatible and when the Jordan product of channels gives a
  valid compatibilizing channel.\n\nTo request the zoom link\, please send 
 a message cqsiadmin@uts.edu.au using your business email address.\nWatch p
 revious seminars: https://www.youtube.com/c/UTSQuantum.\n
LOCATION:https://researchseminars.org/talk/UTSQSI/23/
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