2 papers
quant-ph2024
State Transfer and Readout Times for Trees of Diameter 4
Stephen Kirkland, Christopher M. van Bommel
We consider the state transfer properties of continuous time quantum walks on trees of diameter 4. We characterize all pairs of strongly cospectral vertices in trees of diameter 4,…
math.SP2023
Completion Problems and Sparsity for Kemeny's Constant
Stephen Kirkland
For a partially specified stochastic matrix, we consider the problem of completing it so as to minimize Kemeny's constant. We prove that for any partially specified stochastic matr…