Author

Thomas G. Wong

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Preprint Sep 2026

Faster Computation with the Generalized Laplacian Quantum Walk

Quantum walks are the quantum analogues of classical random walks or Markov chains. They are universal models of quantum computing, and they underpin a variety of quantum algorithms. We prove that a continuous-time quantum walk effected by a generalized Laplacian, which can arise in spin chains, can solve a computation...

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