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Braided tensor categories and topological quantum computing

by Dr. Imre Tuba of Saint Louis U

What
  • Geometry/ Topology Seminar
  • Topology Seminar
When Wed, Feb 04, 2015
from 04:10 PM to 05:00 PM
Where 200 Ritter Hall
Contact Name
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Tensor categories were introduced as abstract structures to unify properties of tensor products used in algebra, algebraic topology, representation theory, and operator algebra.

Tensor categories which have an additional structure called braiding have found applications in describing the behavior of particle systems in theoretical physics. This additional structure connects such categories to the braid group and its representations.

I will talk about how these ingredients come together in topological quantum computing, which is one of the approaches proposed to build a quantum computer.

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