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Introduction to quantum Fisher information
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The subject of this paper is a mathematical transition from the Fisher information of classical statistics to the matrix formalism of quantum theory. If the monotonicity is the main requirement, then there are several quantum versions parametrized by a function. In physical applications the minimal is the most popular. There is a one-to-one correspondence between Fisher informations (called also monotone metrics) and abstract covariances. The skew information and the chi-square-divergence are treated here as particular cases.
Forward citations
Cited by 2 Pith papers
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Bayesian Monotone Metrics for Multiparameter Quantum Estimation
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Quantum Fisher information of magnetic quantum phase transition on Kondo lattice
In the Kondo-destroyed antiferromagnetic phase of a Kondo lattice, quantum Fisher information from transverse spin fluctuations witnesses multipartite entanglement while the longitudinal channel stays trivial; the eff...
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