A Robertson-type uncertainty principle and quantum Fisher information

DOI10.1016/j.laa.2007.10.013zbMath1152.62004arXiv0707.1231OpenAlexW2162711855MaRDI QIDQ2477546

Tommaso Isola, Daniele Imparato, Paolo Gibilisco

Publication date: 14 March 2008

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1231

zbMATH Keywords

uncertainty principlegeneralized varianceoperator monotone functionsmatrix means

Mathematics Subject Classification ID

Applications of statistics to physics (62P35) Applications of selfadjoint operator algebras to physics (46L60) General quantum mechanics and problems of quantization (81S99) Measures of information, entropy (94A17) Statistical aspects of information-theoretic topics (62B10) States of selfadjoint operator algebras (46L30)

Related Items (8)

On a refinement of Heisenberg uncertainty relation by means of quantum Fisher information ⋮ Uncertainty and quantum variance at the light of quantum information geometry ⋮ Schrödinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure ⋮ A dynamical uncertainty principle in von Neumann algebras by operator monotone functions ⋮ How to distinguish quantum covariances using uncertainty relations ⋮ Inequalities for quantum skew information ⋮ FROM QUASI-ENTROPY TO SKEW INFORMATION ⋮ AN INEQUALITY RELATED TO UNCERTAINTY PRINCIPLE IN VON NEUMANN ALGEBRAS

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