Author

Lvzhou Li

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Preprint Sep 2026

Quantum Approximate Counting with Bernoulli Oracles

An upper bound of $\tilde{O}\!\big(\frac{\rho}}{\Delta\epsilon}+\frac{1}{\Delta\sqrt{\epsilon}}\big)$ queries is proved for quantum counting with bounded-error oracles, achieving a quadratic speedup over the classical sample complexity.

Chen Gao, Yong-Zhen Xu, Lvzhou Li · 0 citations

Jul 2026

Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point Addition

A new space-efficient reversible modular inversion circuit is presented, which addresses the dominant space bottleneck in affine-coordinate point addition and provides a space-efficient controlled affine point-addition circuit and a complete implementation of Shor's algorithm for ECDLP.

Han Luo, Zi-Yi Yang, Jingquan Luo et al. · arXiv.org · 1 citation