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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
A manifestly Morita-invariant construction of Turaev-Viro invariants
Jürgen Fuchs, César Galindo, David Jaklitsch +1
We present a state sum construction that assigns a scalar to a skeleton in a closed oriented three-dimensional manifold. The input datum is the pivotal bicategory $\mathbf{Mod}^{\m…
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…