Quantum Covariance, Quantum Fisher Information, and the Uncertainty Relations

DOI10.1109/TIT.2008.2008142zbMath1367.81025MaRDI QIDQ4975708

Dénes Petz, Fumio Hiai, Paolo Gibilisco

Publication date: 8 August 2017

Published in: IEEE Transactions on Information Theory (Search for Journal in Brave)

Mathematics Subject Classification ID

Measures of information, entropy (94A17) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (10)

Quantum covariance via quantum information ⋮ Uncertainty relation for estimating the position of an electron in a uniform magnetic field from quantum estimation theory ⋮ Uncertainty and quantum variance at the light of quantum information geometry ⋮ Entropic uncertainty relations—a survey ⋮ From \(f\)-divergence to quantum quasi-entropies and their use ⋮ 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 ⋮ Metric adjusted skew information and uncertainty relation ⋮ How to distinguish quantum covariances using uncertainty relations ⋮ FROM QUASI-ENTROPY TO SKEW INFORMATION

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