Classical and quantum Fisher information in the geometrical formulation of quantum mechanics
Copyright policy )Classical and quantum Fisher information in the geometrical formulation of quantum mechanics
The tomographic picture of quantum mechanics has brought the description of quantum states closer to that of classical probability and statistics. On the other hand, the geometrical formulation of quantum mechanics introduces a metric tensor and a symplectic tensor (Hermitian tensor) on the space of pure states. By putting these two aspects together, we show that the Fisher information metric, both classical and quantum, can be described by means of the Hermitian tensor on the manifold of pure states.
8 pages
Quantum Physics, Measures of information, entropy, Quantum state spaces, operational and probabilistic concepts, FOS: Physical sciences, Quantum Physics (quant-ph), Quantum state estimation, approximate cloning
Quantum Physics, Measures of information, entropy, Quantum state spaces, operational and probabilistic concepts, FOS: Physical sciences, Quantum Physics (quant-ph), Quantum state estimation, approximate cloning
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).89 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!