Explicit formula for the Holevo bound for two-parameter qubit-state estimation problem

DOI10.1063/1.4945086zbMath1361.81036arXiv1505.06437OpenAlexW434667372MaRDI QIDQ2804968

Jun Suzuki

Publication date: 9 May 2016

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

Full work available at URL: https://arxiv.org/abs/1505.06437

zbMATH Keywords

weight matrixSLD and RLD Cramér-Rao bound

Mathematics Subject Classification ID

Quantum measurement theory, state operations, state preparations (81P15) Measures of information, entropy (94A17) Channel models (including quantum) in information and communication theory (94A40) Coding theorems (Shannon theory) (94A24) Quantum state estimation, approximate cloning (81P50)

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Cites Work

• Quantum local asymptotic normality based on a new quantum likelihood ratio
• Quantum detection and estimation theory
• Local asymptotic normality for finite dimensional quantum systems
• Asymptotically efficient approaches to quantum-mechanical parameter estimation
• Quantum Fisher metric and estimation for pure state models
• Asymptotic Statistics
• An estimation theoretical characterization of coherent states
• Multiple-parameter quantum estimation and measurement of nonselfadjoint observables
• A new approach to the Cramér-Rao-type bound of the pure-state model
• Statistical distance and the geometry of quantum states
• Fisher information in quantum statistics
• Asymptotic performance of optimal state estimation in qubit system
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