3 papers
quant-ph2026
Local and Global Risk Bounds for Quantum Entropy Estimation under Projective-Design Measurements
Xinyu Song
We establish a lower bound for estimating the von Neumann entropy from independent outcomes of any fixed rank-one POVM. A rotation-averaged van Trees argument gives a global minima…
quant-ph2026
Batched and Complete U-Statistics for Trace-Polynomial Estimation from Classical Shadows
Xinyu Song
We study estimation of the trace polynomial from global classical shadows, where is an unknown quantum state and is a fixed projector. Disjoint b…
math.ST2026
Pre-Disclosure Experiment Menus: Oracle-Relative Risk and Joint Sample--Menu Asymptotics
Xinyu Song
We study a resolution problem in local asymptotic decision theory: individual risks may admit Gaussian approximations that do not determine their vanishing difference. A finite men…