Twisted Kitaev quantum double model as local topological order

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dc.contributor.authorShawn X. Cui
dc.contributor.authorCésar Galíndo
dc.contributor.authorDiego Romero
dc.coverage.spatialBolivia
dc.date.accessioned2026-03-22T15:40:11Z
dc.date.available2026-03-22T15:40:11Z
dc.date.issued2025
dc.descriptionCitaciones: 1
dc.description.abstractWe study the Twisted Kitaev Quantum Double model within the framework of Local Topological Order (LTO). We extend its definition to arbitrary 2D lattices, enabling an explicit characterization of the ground state space through the invariant spaces of monomial representations. We reformulate the LTO conditions to include general lattices and prove that the twisted model satisfies all four LTO axioms on any 2D lattice. As a corollary, we show that its ground state space is a quantum error-correcting code.
dc.identifier.doi10.1063/5.0268875
dc.identifier.urihttps://doi.org/10.1063/5.0268875
dc.identifier.urihttps://andeanlibrary.org/handle/123456789/53718
dc.language.isoen
dc.publisherAmerican Institute of Physics
dc.relation.ispartofJournal of Mathematical Physics
dc.sourcePurdue University West Lafayette
dc.subjectOrder (exchange)
dc.subjectQuantum
dc.subjectPhysics
dc.subjectTopology (electrical circuits)
dc.subjectTopological quantum computer
dc.subjectTopological degeneracy
dc.subjectTopological order
dc.subjectTheoretical physics
dc.subjectMathematics
dc.subjectSymmetry protected topological order
dc.titleTwisted Kitaev quantum double model as local topological order
dc.typearticle

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