Publications (8)
Perfect State Transfer in Laplacian Quantum Walk
R. Alvir, S. Dever, B Lovitz +4
For a graph and a related symmetric matrix , the continuous-time quantum walk on relative to is defined as the unitary matrix , where varies o…
Perfect State Transfer on Signed Graphs
J. Brown, C. Godsil, D. Mallory +2
We study perfect state transfer of quantum walks on signed graphs. Our aim is to show that negative edges are useful for perfect state transfer. Specific results we prove include:…
One-dimensional continuous-time quantum walks
D. ben-Avraham, E. Bollt, C. Tamon
We survey the equations of continuous-time quantum walks on simple one-dimensional lattices, which include the finite and infinite lines and the finite cycle, and compare them with…
Perfect state transfer on quotient graphs
R. Bachman, E. Fredette, J. Fuller +4
We prove new results on perfect state transfer of quantum walks on quotient graphs. Since a graph has perfect state transfer if and only if its quotient , under any equit…
Universal Mixing of Quantum Walk on Graphs
W. Carlson, A. Ford, E. Harris +3
We study the set of probability distributions visited by a continuous-time quantum walk on graphs. An edge-weighted graph G is universal mixing if the instantaneous or average prob…
Mixing of Quantum Walk on Circulant Bunkbeds
P. Lo, S. Rajaram, D. Schepens +3
We give new observations on the mixing dynamics of a continuous-time quantum walk on circulants and their bunkbed extensions. These bunkbeds are defined through two standard graph…
Perfect state transfer, integral circulants and join of graphs
R. J. Angeles-Canul, R. Norton, M. Opperman +3
We propose new families of graphs which exhibit quantum perfect state transfer. Our constructions are based on the join operator on graphs, its circulant generalizations, and the C…
On quantum perfect state transfer in weighted join graphs
R. J. Angeles-Canul, R. Norton, M. Opperman +3
We study perfect state transfer on quantum networks represented by weighted graphs. Our focus is on graphs constructed from the join and related graph operators. Some specific resu…