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Trung V. Phan

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Preprint Sep 2026

Quantum Advantage in Topological Data Analysis via Mayer Homology

Prior work has explored quantum algorithms for topological data analysis (TDA), revealing the possibility of exponential quantum speedups in estimating the ratios of Betti numbers to the dimension of the combinatorial Laplacian. However, this quantity is only non-vanishing and efficient-to-quantumly-estimate when Betti...

Nhat A. Nghiem, R. Babbush, Adam Zalcman et al. · 0 citations
Preprint Sep 2026

Quantum Topological Data Analysis Beyond Betti Numbers: Complexity Hardness $\&$ An Algorithm for Torsion Witness

Recent advances have revealed an interplay between quantum computing and topological data analysis (TDA). Most quantum TDA has focused on Betti numbers, which characterize the connectivity and ``holes''of a dataset. Homology, however, contains additional information in the form of torsion: a nontrivial cycle can become...

Nhat A. Nghiem, D. Berry, Trung V. Phan · 1 citation

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