3 papers
quant-ph2023
Mod2VQLS: a Variational Quantum Algorithm for Solving Systems of Linear Equations Modulo 2
Willie Aboumrad, Dominic Widdows
This paper presents a system for solving binary-valued linear equations using quantum computers. The system is called Mod2VQLS, which stands for Modulo2 Variational Quantum Linear…
math.QA2022
The ribbon category framework for topological quantum computing
Willie Aboumrad
This expository article supplies the mathematical background underpinning the braid representation calculator introduced in arXiv:2212.00831; those representations describe the set…
math.QA2022
Quantum computing with anyons: an -matrix and braid calculator
Willie Aboumrad
We introduce a pentagon equation solver, available as part of SageMath, and use it to construct braid group representations associated to certain anyon systems. We recall the categ…