A talk that I will have given:
Urs Schreiber on joint work with Hisham Sati:
Knots for Quantum Computation from Defect Branes
talk at
Workshop on Topological Methods in Mathematical Physics
Erice, 02 Sep 2022
download
Abstract. Already 25 years ago, Kitaev proposed that intrinsically fault-tolerant quantum computation should be possible by knotting the worldlines of defect points in effectively 2-dimensional quantum materials akin to graphene. Meanwhile, there have been striking advances (a) in the theoretical understanding of such quantum materials, in terms of topological K-theory and (b) in the practical construction of toy quantum computers – but the “topological quantum gates” proposed by Kitaev have remained somewhat elusive, both practically but also theoretically. Recently we have shown that a previously neglected sector of topological K-theory in its fully-fledged twisted equivariant differential refinement does reflect exactly those topological quantum gates that are thought to be practically realizable – namely the “-anyon braid quantum gates”. This insight was drawn from the study of “defect branes” in string theory and points to a non-perturbative enhancement of what is known as "holographic" condensed matter theory. I will give a gentle exposition and motivation of these results.
Based on these articles:
Related talks:
Last revised on September 5, 2022 at 18:42:29. See the history of this page for a list of all contributions to it.