Inequalities for quantum Fisher information

DOI10.1090/S0002-9939-08-09447-1zbMath1153.62100arXivmath-ph/0702058MaRDI QIDQ3600614

Tommaso Isola, Paolo Gibilisco, Daniele Imparato

Publication date: 5 February 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0702058

zbMATH Keywords

Fisher informationoperator monotone functionsquantum Fisher informationmatrix means

Mathematics Subject Classification ID

Applications of statistics to physics (62P35) Applications of selfadjoint operator algebras to physics (46L60) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10) States of selfadjoint operator algebras (46L30) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items

Quantum uncertainty based on metric adjusted skew information ⋮ Operator means and positivity of block operators ⋮ On a refinement of Heisenberg uncertainty relation by means of quantum Fisher information ⋮ Uncertainty and quantum variance at the light of quantum information geometry ⋮ Gram matrices of quantum channels via quantum Fisher information with applications to decoherence and uncertainty ⋮ Sum uncertainty relations based on metric-adjusted skew information ⋮ An approximate quantum Cramér-Rao bound based on skew information ⋮ Inequalities for quantum skew information

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