PIRSA:23030082 Course Condensed Matter

Courses: Mini introductory course on topological orders and topological quantum computing

Wan, Y. (2023). Topological orders and topological quantum computing - Lecture 20230314. Perimeter Institute. https://pirsa.org/23030082

Wan, Yidun. Topological orders and topological quantum computing - Lecture 20230314. Perimeter Institute, Mar. 14, 2023, https://pirsa.org/23030082 

@misc{ pirsa_PIRSA:23030082,
  doi = {},
  url = {https://pirsa.org/23030082},
  author = {Wan, Yidun},
  keywords = {Condensed Matter},
  language = {en},
  title = {Topological orders and topological quantum computing - Lecture 20230314},
  publisher = {Perimeter Institute},
  year = {2023},
  month = {mar},
  note = {PIRSA:23030082 see, \url{https://pirsa.org}}
}

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.

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