Maximum Fisher information in mixed state quantum systems

DOI10.1214/009053604000000436zbMath1045.62122arXivmath/0410095OpenAlexW3103687098MaRDI QIDQ1879974

Alessandra Luati

Publication date: 15 September 2004

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

Full work available at URL: https://arxiv.org/abs/math/0410095

zbMATH Keywords

Fisher informationpure statesmixed statesparametric quantum modelsHelstrom informationsymmetric logarithmic derivatives

Mathematics Subject Classification ID

Parametric inference (62F99) General and philosophical questions in quantum theory (81P05) Applications of statistics to physics (62P35) Statistical aspects of information-theoretic topics (62B10)

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Cites Work

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• Quantum Fisher metric and estimation for pure state models
• Noncommuting observables in quantum detection and estimation theory
• Statistical distance and the geometry of quantum states
• Fisher information in quantum statistics