Minimax estimation of qubit states with Bures risk

DOI10.1088/1751-8121/aab6f2zbMath1390.81113arXiv1708.04941OpenAlexW2747088508MaRDI QIDQ4565048

Madalin I. Guta, Anirudh Acharya

Publication date: 7 June 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.04941

zbMATH Keywords

state estimationlocal asymptotic normalityminimax estimationquantum tomographyquantum relative entropyBures distance

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Measures of information, entropy (94A17) Quantum coherence, entanglement, quantum correlations (81P40) Quantum state spaces, operational and probabilistic concepts (81P16) Quantum state estimation, approximate cloning (81P50)

Related Items (2)

A comparative study of estimation methods in quantum tomography ⋮ Multi-parameter estimation beyond quantum Fisher information

Cites Work

• Unnamed Item
• Bernstein polynomials and learning theory
• Optimal estimation of qubit states with continuous time measurements
• Strong consistency and asymptotic efficiency for adaptive quantum estimation problems
• Statistical analysis of compressive low rank tomography with random measurements
• Essentials of Statistical Inference
• Practical adaptive quantum tomography

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