Quantum Algebra/Quantum Topology Seminar - Qing Zhang

November 26, 2019
Tuesday, December 3, 2019 - 1:50pm to 2:50pm
Math Building 105
Quantum Algebra & Quantum Topology Seminar

Title: Algebraic questions from topological quantum computation

Speaker: Qing Zhang - Texas A&M University

Abstract: This talk will be devoted to some algebraic problems motivated by the quest for a topological quantum computer. After a review of the classical correspondence between anyon systems and modular tensor categories, I will describe recent progress in the theory of super-modular categories, a class of ribbon fusion categories modeling anyon systems in fermionic topological phases. I will also discuss a construction of braid group representations in iterated twisted tensor products of algebras. This construction unifies and generalizes several categorical constructions of braid group representations from finite groups.

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