4 papers
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…
On Generalized Symmetries and Structure of Modular Categories
Shawn X. Cui, Modjtaba Shokrian Zini, Zhenghan Wang
Pursuing a generalization of group symmetries of modular categories to category symmetries in topological phases of matter, we study linear Hopf monads. The main goal is a generali…
Bit Threads and Holographic Monogamy
Shawn X. Cui, Patrick Hayden, Temple He +3
Bit threads provide an alternative description of holographic entanglement, replacing the Ryu-Takayanagi minimal surface with bulk curves connecting pairs of boundary points. We us…