Author

Thomas G. Wong

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Preprint Sep 2026

Faster Computation with the Generalized Laplacian Quantum Walk

It is proved that a continuous-time quantum walk effected by a generalized Laplacian, which can arise in spin chains, can solve a computational problem more quickly than typical quantum walks governed by the standard Laplacian or adjacency matrix.

Jonas Duda, Thomas G. Wong · 0 citations

Preprint Aug 2026

Optimal and Deterministic Quantum Search on the Simplex of Complete Graphs

The first analytical proof of optimal quantum search on the simplex of complete graphs is given, proving that it occurs when the weight of the bridges equals $M$ and that the optimal runtime is achieved more broadly whenever the weight is at least $\sqrt{M}$.

Kiyoji Huang Fujiwara, Yujia Shi, Thomas G. Wong · 0 citations