Claire Levaillant
University of California at Santa Barbara, USA
Title: Quantum computation with fibonacci anyons
Biography
Biography: Claire Levaillant
Abstract
Exotic particles named Fibonacci anyons have drawn increasing interest for topological quantum computation. Their specificity is the density of the braid group representations (Freedman-Larsen-Wang, 2001), that is any quantum gate can be approximated by braiding of the anyons, up to some arbitrary precision. In this talk, we show how adding measurement operations allow making some exact quantum gates probabilistically. From these probabilistic quantum gates, we derive exact ancillas, which we use in turn to make exact key quantum gates. Many recent theoretical studies have shown evidence for the existence of these exotic particles and have exhibited experimental platforms for their use. The field is vibrant on-going theoretical and experimental research in condensed matter physics.