PIRSA:23030081

Topological orders and topological quantum computing - Lecture 20230309

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

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

          @misc{ pirsa_PIRSA:23030081,
            doi = {},
            url = {https://pirsa.org/23030081},
            author = {Wan, Yidun},
            keywords = {Condensed Matter},
            language = {en},
            title = {Topological orders and topological quantum computing - Lecture 20230309},
            publisher = {Perimeter Institute},
            year = {2023},
            month = {mar},
            note = {PIRSA:23030081 see, \url{https://pirsa.org}}
          }

Yidun Wan

Fudan University

Talk number
PIRSA:23030081
Collection
Talk Type
Subject
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.