Quantum to classical mapping of the two-dimensional toric code in an external field

Kitaev's toric code Hamiltonian in dimension D=2 has been extensively studied for its topological properties, including its quantum error correction capabilities. While the Hamiltonian is quantum, it lies within the class of models that admits a D+1 dimensional classical representation. In thes...

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Bibliographic Details
Main Author: Sydney R. Timmerman, Zvonimir Z. Bandic, Roger G. Melko
Format: Article
Language:English
Published: SciPost 2022-07-01
Series:SciPost Physics Lecture Notes
Online Access:https://scipost.org/SciPostPhysLectNotes.57