2
talks

Collection Number
C23023
Collection Type
Course
Subject
Condensed Matter
Source Repository
PIRSA
Description
In this mini course, I shall introduce the basic concepts in 2D topological orders by studying simple models of topological orders and then introduce topological quantum computing based on Fibonacci anyons. Here is the (not perfectly ordered) syllabus.
 Overview of topological phases of matter
 Z2 toric code model: the simplest model of 2D topological orders
 Quick generalization to the quantum double model
 Anyons, topological entanglement entropy, S and T matrices
 Fusion and braiding of anyons: quantum dimensions, pentagon and hexagon identities
 Fibonacci anyons
 Topological quantum computing
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