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