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Compactifying fracton stabilizer models

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arxiv 1903.12246 v1 pith:I3SVMGHO submitted 2019-03-28 cond-mat.str-el quant-ph

Arpit Dua , Dominic J. Williamson , Jeongwan Haah , Meng Cheng This is my paper · ORCID
classification cond-mat.str-elquant-ph
keywords dimensionalcodecubicmodelsstabilizerboundarycompactificationcompactifications
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We investigate two dimensional compactifications of three dimensional fractonic stabilizer models. We find the two dimensional topological phases produced as a function of compactification radius for the X-cube model and Haah's cubic code. Furthermore, we uncover translation symmetry-enrichment in the compactified cubic code that leads to twisted boundary conditions.

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Cited by 3 Pith papers

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

  1. 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.

  2. A matching decoder for bivariate bicycle codes

    quant-ph 2026-02 conditional novelty 6.0 of 10

    The authors introduce symatch, a minimum-weight matching decoder for bivariate bicycle quantum LDPC codes that uses code symmetries and a cylinder trick, and show it is competitive with BP-OSD and tesseract under code...

  3. Emergent fractons and algebraic quantum liquid from plaquette melting transitions

    cond-mat.str-el 2019-08 conditional novelty 6.0 of 10

    Topological defects of valence plaquette solid order are fractons, so plaquette melting can proceed via dipole condensation and produce a gapless algebraic bond liquid.

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