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A twisted version of Kitaev’s quantum double model

By Thomas Krajewski

Appears in collection : Combinatorics and Arithmetic for Physics: special days 2023

The quantum double model has been introduced by Kitaev in order to propose a model of quantum computing based on anyonic excitations, thus stable against perturbations. We propose a deformation of this model, induced by an external 3 form. In this model, the role of the quantum double is replaced by its twisted version, a quasi Hopf algebra introduced in orbifold models by Dijkgraaf, Pasquier and Roche.

Information about the video

  • Date of recording 17/11/2023
  • Date of publication 27/11/2023
  • Institution IHES
  • Language English
  • Audience Researchers
  • Format MP4


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