Submitted by Anonymous on July 31, 2017 - 6:30pm


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Recording Details

Speaker(s): 
Andreas Bauer
Scientific Areas: 
Quantum Information,
Quantum Foundations
Collection/Series: 
Hopf Algebras in Kitaev's Quantum Double Models: Mathematical Connections from Gauge Theory to Topological Quantum Computing and Categorical Quantum Mechanics
PIRSA Number: 
17070063

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.