105 citations · 614 across the 24 of their papers we have counts for
10 papers · 1 filter
Ternary Logic Design in Topological Quantum Computing
Muhammad Ilyas, Shawn Cui, Marek Perkowski
A quantum computer can perform exponentially faster than its classical counterpart. It works on the principle of superposition. But due to the decoherence effect, the superposition…
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…
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…
Diagonal gates in the Clifford hierarchy
Shawn X. Cui, Daniel Gottesman, Anirudh Krishna
The Clifford hierarchy is a set of gates that appears in the theory of fault-tolerant quantum computation, but its precise structure remains elusive. We give a complete characteriz…
Quantum Capacities for Entanglement Networks
Shawn X Cui, Zhengfeng Ji, Nengkun Yu +1
We discuss quantum capacities for two types of entanglement networks: for the quantum repeater network with free classical communication, and for the te…
Improved Quantum Ternary Arithmetics
Alex Bocharov, Shawn X. Cui, Martin Roetteler +1
Qutrit (or ternary) structures arise naturally in many quantum systems, particularly in certain non-abelian anyon systems. We present efficient circuits for ternary reversible and…
Generalized Graph States Based on Hadamard Matrices
Shawn X Cui, Nengkun Yu, Bei Zeng
Graph states are widely used in quantum information theory, including entanglement theory, quantum error correction, and one-way quantum computing. Graph states have a nice structu…
Universal Quantum Computation with Metaplectic Anyons
Shawn X. Cui, Zhenghan Wang
We show that braidings of the metaplectic anyons in with their total charge equal to the metaplectic mode supplemented with measurements of the total ch…
Universal quantum computation with weakly integral anyons
Shawn X. Cui, Seung-Moon Hong, Zhenghan Wang
Harnessing non-abelian statistics of anyons to perform quantum computational tasks is getting closer to reality. While the existence of universal anyons by braiding alone such as t…