Author

Qisheng Wang

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Preprint Aug 2026

Optimal von Neumann Entropy Estimation

We show that the von Neumann entropy of an unknown $d$-dimensional quantum state $\rho$ can be estimated to within additive error $\varepsilon$ using \[ \Theta\!\left(\frac{d^2}{\varepsilon\log^2(d)(1+\varepsilon\log^2(d))} + \frac{\log^2(d)}{\varepsilon^2}\right) \] samples of $\rho$, matching the lower bound due to W...

Zi-Yun Chen, Minbo Gao, Qisheng Wang · 4 citations · ⚡1

Preprint Aug 2026

Towards Optimal Quantum Estimators for State Frame Potential

This work studies the problem of estimating the state frame potential of order $t$ to within additive error $\varepsilon$ under three progressively weaker access models: (i) query access to a multi-state-preparation oracle, (ii) general sample access, and (iii) single-copy sample access.

Jing Bao, Wang Fang, Y. Nakata et al. · 0 citations