105 citations · 614 across the 24 of their papers we have counts for
3 papers · 1 filter
4-Manifold Invariants From Hopf Algebras
Julian Chaidez, Jordan Cotler, Shawn X. Cui
The Kuperberg invariant is a topological invariant of closed 3-manifolds based on finite-dimensional Hopf algebras. In this paper, we initiate the program of constructing 4-manifol…
Kitaev's quantum double model as an error correcting code
Shawn X. Cui, Dawei Ding, Xizhi Han +4
Kitaev's quantum double models in 2D provide some of the most commonly studied examples of topological quantum order. In particular, the ground space is thought to yield a quantum…
The Search For Leakage-free Entangling Fibonacci Braiding Gates
Shawn X. Cui, Kevin T. Tian, Jennifer F. Vasquez +2
It is an open question if there are leakage-free entangling Fibonacci braiding gates. We provide evidence to the conjecture for the negative in this paper. We also found a much sim…