105 citations · 614 across the 24 of their papers we have counts for
4 papers · 1 filter
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…
On Gauging Symmetry of Modular Categories
Shawn X. Cui, César Galindo, Julia Yael Plavnik +1
Topological order of a topological phase of matter in two spacial dimensions is encoded by a unitary modular (tensor) category (UMC). A group symmetry of the topological phase indu…
Quantum Max-flow/Min-cut
Shawn X. Cui, Michael H. Freedman, Or Sattath +2
The classical max-flow min-cut theorem describes transport through certain idealized classical networks. We consider the quantum analog for tensor networks. By associating an integ…
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…