PIRSA:17070063

The Hopf C*-algebraic quantum double models - symmetries beyond group theory

APA

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

MLA

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

BibTex

          @misc{ pirsa_17070063,
            doi = {},
            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.