Cellular Algebras and Graph Invariants Based on Quantum Walks
Combinatorics
2015-03-19 v1 Quantum Physics
Abstract
We consider two graph invariants inspired by quantum walks- one in continuous time and one in discrete time. We will associate a matrix algebra called a cellular algebra with every graph. We show that, if the cellular algebras of two graphs have a similar structure, then they are not distinguished by either of the proposed invariants.
Cite
@article{arxiv.1103.0262,
title = {Cellular Algebras and Graph Invariants Based on Quantum Walks},
author = {Jamie Smith},
journal= {arXiv preprint arXiv:1103.0262},
year = {2015}
}
Comments
14 pages