Gauge Theories and Stabilizer Codes: From Abelian to non-Abelian models

ORAL

Abstract

We summarize several different gauge-theory-related formulations of quantum stabilizer codes on a lattice. Examples include the toric code and the X-cube model. The latter carries fractonic excitations. We compare and contrast these formulations, and investigate their generalizations to non-Abelian gauge theories. In particular, we construct the non-Abelian anyon model from gauging the SWAP symmetry of double-layer Z2 gauge theory with matter and compare it with the D4 quantum double model.

*Y.-T. T. and P.-Y. C. were supported by the Young Scholar Fellowship Program under MOST Grant for the Einstein Program MOST 109-2636-M-007-003-

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Presenters

  • Yi-Ting Tu

    • Natl Tsing Hua Univ

Authors

  • Yi-Ting Tu

    • Natl Tsing Hua Univ

  • Po-Yao Chang

    • Natl Tsing Hua Univ
    • Department of physics, National Tsing Hua University