Author

Christino Tamon

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Preprint Aug 2026

Laziness of Quantum Walks on Graphs

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 this paper, we develop tools to study this graph invariant arising from Laplacian quantum walks. It is known that the complete graph $K_n$ is...

Amulya Mohan, Christino Tamon, Yi-Chi Xu et al. · 0 citations

Preprint Sep 2026

Controlling quantum state transfer in rooted products

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 structure, we show that the rooted product is useful for constructing graphs with good quantum state transfer properties. In particular, we pr...

Addison Ballif, Christino Tamon, Gabriel Tucker · 0 citations