Combinatorics and Arithmetic for Physics: special days 2023

Collection Combinatorics and Arithmetic for Physics: special days 2023

Organizer(s) Gérard H. E. DUCHAMP, Maxim KONTSEVICH, Gleb KOSHEVOY, Sergei NECHAEV and Karol A. PENSON

Date(s) 15/11/2023 - 17/11/2023

linked URL https://www-lipn.univ-paris13.fr/~duchamp/Conferences/CAP10_2023.html

00:00:00 / 00:00:00

26 27

A twisted version of Kitaev’s quantum double model

By Thomas Krajewski

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

Domain(s)

Quantum Algebra

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