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Author

Xin Wang

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Preprint Oct 2026

Multivariate quantum signal processing with optimal query complexity

Polynomial transformations of data encoded in quantum operations are a building block of quantum algorithms, and their query complexity measures how often those operations are used. For multiple variables, existing methods either realize restricted polynomial families or implement monomials separately at a query cost e...

Ming-Rui Jing, Xin Wang, Zhan Yu et al. · 0 citations
Preprint Jul 2026

Algebraic Speedups for Exact Inversion of Hamiltonian Evolutions

Deterministic exact inversion of an arbitrary $d$-dimensional unitary requires {$\Theta(d^2)$} coherent forward calls in the worst case. We ask how this cost changes for Hamiltonian evolution $U(x)=\exp(i\sum_j x_jH_j)$ when the generators are known but the parameters are hidden. For one-parameter families with a fixed...

Ji-Zhe Lai, M. Jing, Erdong Huang et al. · 0 citations

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