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Group representations and quantum information theory

Presented by: 
A Harrow Massachusetts Institute of Technology
Date: 
Tuesday 15th October 2013 - 10:00 to 11:00
Venue: 
INI Seminar Room 1
Abstract: 
The method of types---classifying strings according to letter frequencies---is a fundamental tool of classical information theory. I will discuss a natural quantum generalisation, known as the Schur basis, in which quantum states are decomposed into irreps of the unitary and symmetric groups. First, I'll explain the analogy to the classical method of types and will review past work that applies the Schur basis to quantum information theory. Then I'll discuss applications to spectrum estimation, channel coding problems and mention some open problems.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons