2 papers
math.QA2025
Twisted Kitaev quantum double model as local topological order
Shawn X. Cui, César Galindo, Diego Romero
We study the Twisted Kitaev Quantum Double model within the framework of Local Topological Order (LTO). We extend its definition to arbitrary 2D lattices, enabling an explicit char…
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…