4 citations · 5 across the 5 of their papers we have counts for
5 papers
Some Coxeter Groups in Reversible and Quantum Compuation
Jon Aytac, Ammar Husain
In this article we show how the structure of Coxeter groups are present in gate sets of reversible and quantum computing. These groups have efficient word problems which means that…
Topological K-Theory for Hilbert Scheme Analogs
Ammar Husain
In geometric representation theory, it is common to compute equivariant theory of schemes like or for an ALE resolution $X \to \mathbb{A}…
Defects in Spin Chains via Cluster Categories
Ammar Husain
We study Picard groups and groups for the cluster algebras that come from the cluster categories of \cite{HernandezLeclerc}. This is inspired by a study of boundaries and def…
Completeness of the Six Vertex Model with Reflecting Boundary Conditions
Ammar Husain
In this note, we prove the completeness of Bethe vectors for the six vertex model with diagonal reflecting boundary conditions. We show that as inhomogeneity parameters get sent to…
G-Extensions of Quantum Group Categories and Functorial SPT
Ammar Husain
In this short mostly expository note, we sketch a program for gauging fully extended topological field theories in 3 dimensions. One begins with the spherical fusion category with…