Quantum local asymptotic normality based on a new quantum likelihood ratio

DOI10.1214/13-AOS1147zbMath1278.81050arXiv1210.3749OpenAlexW1995242497WikidataQ124258345 ScholiaQ124258345MaRDI QIDQ385796

Koichi Yamagata, Akio Fujiwara, Richard D. Gill

Publication date: 11 December 2013

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

Full work available at URL: https://arxiv.org/abs/1210.3749

zbMATH Keywords

Holevo boundquantum local asymptotic normalityquantum log-likelihood ratio

Mathematics Subject Classification ID

Asymptotic properties of parametric estimators (62F12) Quantum state estimation, approximate cloning (81P50)

Related Items (16)

Minimax nonparametric estimation of pure quantum states ⋮ Quantum-state estimation problem via optimal design of experiments ⋮ Uncertainty and trade-offs in quantum multiparameter estimation ⋮ Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics ⋮ Quantum local asymptotic normality based on a new quantum likelihood ratio ⋮ Attaining the ultimate precision limit in quantum state estimation ⋮ Geometry of quantum phase transitions ⋮ Efficiency of estimators for locally asymptotically normal quantum statistical models ⋮ Minimax estimation of low-rank quantum states and their linear functionals ⋮ A perspective on multiparameter quantum metrology: from theoretical tools to applications in quantum imaging ⋮ On quantumness in multi-parameter quantum estimation ⋮ Explicit formula for the Holevo bound for two-parameter qubit-state estimation problem ⋮ What is resolution? A statistical minimax testing perspective on superresolution microscopy ⋮ Maximum logarithmic derivative bound on quantum state estimation as a dual of the Holevo bound ⋮ Parameter estimation of qubit states with unknown phase parameter ⋮ Multi-parameter estimation beyond quantum Fisher information

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