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Fractal symmetries: Ungauging the cubic code

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arxiv 1603.05182 v3 pith:MUHTOW3L submitted 2016-03-16 quant-ph cond-mat.str-elhep-lat

Dominic J. Williamson This is my paper · ORCID
classification quant-phcond-mat.str-elhep-lat
keywords symmetriesgaugingphasescodeconstructcubicentangledfractal
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Gauging is a ubiquitous tool in many-body physics. It allows one to construct highly entangled topological phases of matter from relatively simple phases and to relate certain characteristics of the two. Here we develop a gauging procedure for general submanifold symmetries of Pauli Hamiltonians, including symmetries of fractal type. We show a relation between the pre- and post-gauging models and use this to construct short-range entangled phases with fractal-like symmetries, one of which is mapped to the cubic code by the gauging.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. From Koszul-Complex Stabilizer Models to Superselection Profiles: Topological Rigidity and Nonsplit Extensions

    quant-ph 2026-08 conditional novelty 7.0 of 10

    For single-layer translation-invariant CSS codes, the nonzero superselection layer and its degree determine the stable translation-invariant Clifford class; multi-layer nonsplit extensions show individual layers do no...

  2. Fracton Topological Holography

    quant-ph 2026-06 unverdicted novelty 7.0 of 10

    Introduces FTH as an extension of TH/SymTFT to type-I and type-II fracton orders, demonstrating boundary switches and dualities for X-cube and Haah's code via stabilizer formalism.

  3. Sorting topological stabilizer models in three dimensions

    quant-ph 2019-08 conditional novelty 7.0 of 10

    New bulk commutation diagnostics coarsely sort translation invariant 3D stabilizer codes into TQFT, foliated type-I, fractal type-I, or type-II topological order.

  4. Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

    hep-th 2022-05 unverdicted novelty 2.0 of 10

    This review summarizes transformative examples of generalized symmetries in QFT and their applications to anomalies and dynamics.

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