28 citations · 121 across the 36 of their papers we have counts for
41 papers
Pretty good quantum state transfer via transcendental edge weights
Addison Ballif, Mark Kempton, James B. Larsen +3
We prove that if we take a rooted product of a circulant graph with universal perfect state transfer with a path of fixed length whose end edge is weighted with a transcendental nu…
Controlling quantum state transfer in rooted products
Addison Ballif, Christino Tamon, Gabriel Tucker
Godsil and McKay (1978) showed that the rooted product is a powerful tool for constructing non-isomorphic cospectral pairs of graphs. Despite lacking a convenient tensor product st…
Laziness of Quantum Walks on Graphs
Amulya Mohan, Christino Tamon, Yichi Xu +1
The trace of the average mixing matrix of a quantum walk measures the "laziness" of the walk: the higher the trace, the more likely that the walker returns home in the long run. In…
Uniform Mixing in Chiral Quantum Walks
Luke Levine, Jessy Jacob Mesapam, Benjamin Mustico +3
This paper studies uniform mixing in continuous-time quantum walks. We show that for some unitary signing , the complete graph has probabilistic uniform mixing. In contr…
The strength of weak coupling
Alastair Kay, Christino Tamon
A paradoxical idea in quantum transport is that attaching weakly-coupled edges to a large base graph creates high-fidelity quantum state transfer. We provide a mathematical treatme…
Matrix Inversion by Quantum Walk
Alastair Kay, Christino Tamon
The HHL algorithm for matrix inversion is a landmark algorithm in quantum computation. Its ability to produce a state that is the solution of , given the input st…