11 citations · 21 across the 4 of their papers we have counts for
4 papers
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 equita…
Tensors as module homomorphisms over group rings
Carmeliza Navasca, Michael Opperman, Timothy Penderghest +1
Braman [B08] described a construction where third-order tensors are exactly the set of linear transformations acting on the set of matrices with vectors as scalars. This extends th…
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…
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…