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SUMMARY:Group representations and quantum information theory - Harrow\, A 
 (Massachusetts Institute of Technology)
DTSTART:20131015T090000Z
DTEND:20131015T100000Z
UID:TALK48148@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:The method of types---classifying strings according to letter 
 frequencies---is a fundamental tool of classical information theory. I wil
 l discuss a natural quantum generalisation\, known as the Schur basis\, in
  which quantum states are decomposed into irreps of the unitary and symmet
 ric groups. First\, I'll explain the analogy to the classical method of ty
 pes and will review past work that applies the Schur basis to quantum info
 rmation theory. Then I'll discuss applications to spectrum estimation\, ch
 annel coding problems and mention some open problems. 
LOCATION:Seminar Room 1\, Newton Institute
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