Deformed quantum double realization of the toric code and beyond

DOI10.1016/J.AOP.2016.05.014zbMath1380.82036arXiv1408.2501OpenAlexW3099691271MaRDI QIDQ1698171

Juan Pablo Ibieta-Jimenez, Miguel Jorge Bernabe Ferreira, Pramod Padmanabhan, Paulo Teotonio-Sobrinho

Publication date: 21 February 2018

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1408.2501

zbMATH Keywords

lattice gauge theoryquantum error correctionanyonstopological orderexactly solvable lattice models

Mathematics Subject Classification ID

Quantum field theory on lattices (81T25) Dynamic lattice systems (kinetic Ising, etc.) and systems on graphs in time-dependent statistical mechanics (82C20) Exactly solvable dynamic models in time-dependent statistical mechanics (82C23) Quantum algorithms and complexity in the theory of computing (68Q12)

Cites Work

• Topological order and conformal quantum critical points
• Fault-tolerant quantum computation by anyons
• 2D quantum double models from a 3D perspective
• Quantum computations on a topologically encoded qubit
• Topological Computation without Braiding
• Nested topological order
• Local discrete symmetry and quantum-mechanical hair

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