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Group representations and quantum information theory

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If you have a question about this talk, please contact Mustapha Amrani.

Mathematical Challenges in Quantum Information

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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