Eric Rowell (Texas A&M): Mathematical Problems in Topological Quantum Computation

January 18, 2019
Friday, April 5, 2019 - 2:00pm to 3:00pm
1080 Physics Research Building
Eric Rowell

Two-dimensional topological states of matter offer a route to quantum computation that would be topologically protected against the nemesis of the quantum circuit model: decoherence.  In this talk I will give a mathematicians’ perspective on some of the advantages and challenges of this model, focusing on the interplay of condensed matter physics, representation theory, low-dimensional topology and category theory.  We will discover some compelling mathematical questions inspired by foundational problems in topological information theory along the way, and I will present a few results and ongoing projects with collaborators.

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