78 citations · 100 across the 3 of their papers we have counts for
3 papers
math.QA2024
Abelian Group Quantum Error Correction in Kitaev's Model
Shawn X. Cui, César Galindo, Diego Romero
In this paper, we present a detailed mathematical description of the error correction process for Kitaev's model for finite Abelian groups. The number of errors Kitaev's model can…
quant-ph2016★ 78 cited
Diagonal gates in the Clifford hierarchy
Shawn X. Cui, Daniel Gottesman, Anirudh Krishna
The Clifford hierarchy is a set of gates that appears in the theory of fault-tolerant quantum computation, but its precise structure remains elusive. We give a complete characteriz…
cond-mat.str-el2014★ 22 cited
On Enriching the Levin-Wen model with Symmetry
Liang Chang, Meng Cheng, Shawn X. Cui +6
Symmetry protected and symmetry enriched topological phases of matter are of great interest in condensed matter physics due to new materials such as topological insulators. The Lev…