PIRSA:17070063 Conference Quantum Foundations

DOI10.48660/17070063

Conference/School: Hopf Algebras in Kitaev's Quantum Double Models: Mathematical Connections from Gauge Theory to Topological Quantum Computing and Categorical Quantum Mechanics

Bauer, A. (2017). The Hopf C*-algebraic quantum double models - symmetries beyond group theory. Perimeter Institute. https://pirsa.org/17070063

Bauer, Andreas. The Hopf C*-algebraic quantum double models - symmetries beyond group theory. Perimeter Institute, Jul. 31, 2017, https://pirsa.org/17070063 

@misc{ pirsa_PIRSA:17070063,
  doi = {10.48660/17070063},
  url = {https://pirsa.org/17070063},
  author = {Bauer, Andreas},
  keywords = {Quantum Foundations, Quantum Information},
  language = {en},
  title = {The Hopf C*-algebraic quantum double models - symmetries beyond group theory},
  publisher = {Perimeter Institute},
  year = {2017},
  month = {jul},
  note = {PIRSA:17070063 see, \url{https://pirsa.org}}
}

Abstract

I will give an introduction to the Kitaev quantum double models for Hopf C*-algebras. To this end I will introduce a graphical tensor-network notation to represent the algebraic objects and axioms. Using this notation I will then present the vertex- and plaquette symmetries of the model and discuss their interaction and the excitation structure they give rise to.

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