Higher-group symmetry of (3+1)D fermionic $\mathbb{Z}_2$ gauge theory: Logical CCZ, CS, and T gates from higher symmetry

It has recently been understood that the complete global symmetry of finite group topological gauge theories contains the structure of a higher-group. Here we study the higher-group structure in (3+1)D $\mathbb{Z}_2$ gauge theory with an emergent fermion, and point out that pumping chiral $p+ip$ top...

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Bibliographic Details
Main Author: Maissam Barkeshli, Po-Shen Hsin, Ryohei Kobayashi
Format: Article
Language:English
Published: SciPost 2024-05-01
Series:SciPost Physics
Online Access:https://scipost.org/SciPostPhys.16.5.122