23030081

## Video URL

http://pirsa.org/23030081# Topological orders and topological quantum computing - Lecture 20230309

### APA

Wan, Y. (2023). Topological orders and topological quantum computing - Lecture 20230309. Perimeter Institute for Theoretical Physics. http://pirsa.org/23030081

### MLA

Wan, Yidun. Topological orders and topological quantum computing - Lecture 20230309. Perimeter Institute for Theoretical Physics, Mar. 09, 2023, http://pirsa.org/23030081

### BibTex

@misc{ scitalks_23030081, doi = {}, url = {http://pirsa.org/23030081}, author = {Wan, Yidun}, keywords = {Quantum Matter}, language = {en}, title = {Topological orders and topological quantum computing - Lecture 20230309}, publisher = {Perimeter Institute for Theoretical Physics}, year = {2023}, month = {mar}, note = {Talk #23030081 see, \url{https://scitalks.ca}} }

Yidun Wan Fudan University

## Abstract

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.