105 citations · 614 across the 24 of their papers we have counts for
4 papers · 1 filter
Constructing Approximately Diagonal Quantum Gates
Colton Griffin, Shawn X. Cui
We study a method of producing approximately diagonal 1-qubit gates. For each positive integer, the method provides a sequence of gates that are defined iteratively from a fixed di…
From Torus Bundles to Particle-Hole Equivariantization
Shawn X. Cui, Paul Gustafson, Yang Qiu +1
We continue the program of constructing (pre)modular tensor categories from 3-manifolds first initiated by Cho-Gang-Kim using theory in physics and then mathematically studied…
Ribbon operators in the generalized Kitaev quantum double model based on Hopf algebras
Penghua Chen, Shawn X. Cui, Bowen Yan
Kitaev's quantum double model is a family of exactly solvable lattice models that realize two dimensional topological phases of matter. Originally it is based on finite groups, and…
From Three Dimensional Manifolds to Modular Tensor Categories
Shawn X. Cui, Yang Qiu, Zhenghan Wang
Using M-theory in physics, Cho, Gang, and Kim (JHEP 2020, 115 (2020) ) recently outlined a program that connects two parallel subjects of three dimensional manifolds, namely, geome…