Minimax nonparametric estimation of pure quantum states

DOI10.1214/21-AOS2115zbMath1486.62086OpenAlexW4213161188MaRDI QIDQ2119236

Michael Nussbaum, Samriddha Lahiry

Publication date: 23 March 2022

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/21-aos2115

zbMATH Keywords

Wigner functionadaptive estimationlocal asymptotic equivalenceblock Stein methodHermite-Sobolev classPinsker's theorempure quantum statequantum Bayes estimationquantum Gaussian sequence modeltrace norm distance

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Minimax procedures in statistical decision theory (62C20) Applications of statistics to physics (62P35) Quantum state estimation, approximate cloning (81P50)

Related Items

Efficiency of estimators for locally asymptotically normal quantum statistical models, Minimax estimation of low-rank quantum states and their linear functionals

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