113 citations · 159 across the 4 of their papers we have counts for
5 papers
Strongly Cospectral Vertices
Chris Godsil, Jamie Smith
Two vertices and in a graph are cospectral if the vertex-deleted subgraphs and have the same characteristic polynomial. In this paper we i…
Number-Theoretic Nature of Communication in Quantum Spin Systems
Chris Godsil, Stephen Kirkland, Simone Severini +1
The last decade has witnessed substantial interest in protocols for transferring information on networks of quantum mechanical objects. A variety of control methods and network top…
Cellular Algebras and Graph Invariants Based on Quantum Walks
Jamie Smith
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…
k-Boson Quantum Walks Do Not Distinguish Arbitrary Graphs
Jamie Smith
In this paper, we define k-equivalence, a relation on graphs that relies on their associated cellular algebras. We show that a k-Boson quantum walk cannot distinguish pairs of grap…
Algorithms for Quantum Computers
Jamie Smith, Michele Mosca
This paper surveys the field of quantum computer algorithms. It gives a taste of both the breadth and the depth of the known algorithms for quantum computers, focusing on some of t…