Workshop on QUANTUM INFORMATION PROCESSING AND QUANTUM COMMUNICATIONS

Quantum Information Processing and Quantum Communications

Comparison theorems for quantum operations

aula 106 - MERCOLedì 19 maggio ore 14.00
  MAXIM RAGINSKY, Northwestern University (Evanston, Illinois, USA)

>VITAE: Maxim Raginsky was born in 1977
in Vladimir, Russia. He obtained his PhD in 2002 from Northwestern University (Evanston, Illinois, USA), where he is presently a posdoctoral fellow with the Center for Photonic Communication and Computing. His current research interests
include classical and quantum information theory, C*-algebraic methods for quantum information, and applied probability theory.

Maxim Raginsky
Abstract  
  I shall discuss a well-known theorem of the Radon-Nikodym type that gives a necessary and sufficient condition for one completely positive (CP) map to possess a unique positive operator-valued density with respect to another, along with some of its corollaries, such as the Lebesgue decomposition
of one CP map with respect to another. I shall then concentrate on the significance and application of these mathematical results in the context of quantum information theory.
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