Maximum logarithmic derivative bound on quantum state estimation as a dual of the Holevo bound

DOI10.1063/5.0047496zbMath1467.81024arXiv2106.06294OpenAlexW3172502839MaRDI QIDQ5000194

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Publication date: 9 July 2021

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

Full work available at URL: https://arxiv.org/abs/2106.06294

zbMATH Keywords

logarithmic derivative bound

Mathematics Subject Classification ID

Variational principles of physics (49S05) Optimality conditions for problems in abstract spaces (49K27) Quantum state estimation, approximate cloning (81P50)

Related Items (1)

On the properties of the asymptotic incompatibility measure in multiparameter quantum estimation

Cites Work

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• Quantum local asymptotic normality based on a new quantum likelihood ratio
• Monotone metrics on matrix spaces
• Noncommutative Lebesgue decomposition and contiguity with applications in quantum statistics
• Explicit formula for the Holevo bound for two-parameter qubit-state estimation problem
• Quantum monotone metrics induced from trace non-increasing maps and additive noise
• A new approach to the Cramér-Rao-type bound of the pure-state model
• On quantumness in multi-parameter quantum estimation

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