Results 11 to 20 of about 2,044,793 (270)

Fisher Information Properties [PDF]

Entropy, 2015
A set of Fisher information properties are presented in order to draw a parallel with similar properties of Shannon differential entropy. Already known properties are presented together with new ones, which include: (i) a generalization of mutual ...
Pablo Zegers
doaj   +4 more sources

A Tutorial on Fisher Information [PDF]

Journal of Mathematical Psychology, 2017
In many statistical applications that concern mathematical psychologists, the concept of Fisher information plays an important role. In this tutorial we clarify the concept of Fisher information as it manifests itself across three different statistical ...
Grasman, Raoul, Ly, Alexander, Marsman, Maarten, Verhagen, Josine, Wagenmakers, Eric-Jan   +4 more
core   +4 more sources

Broadcasting Quantum Fisher Information [PDF]

Physical Review A, 2013
It is well known that classical information can be cloned, but non-orthogonal quantum states cannot be cloned, and non-commuting quantum states cannot be broadcast.
A. Fujiwara, A. S. Holevo, C. H. Oh, C. W. Helstrom, G. A. Raggio, Shunlong Luo, Xiao-Ming Lu, Xiaoguang Wang, Zhe Sun   +8 more
core   +2 more sources

Fisher Information and Semiclassical Treatments [PDF]

Entropy, 2009
We review here the difference between quantum statistical treatments and semiclassical ones, using as the main concomitant tool a semiclassical, shift-invariant Fisher information measure built up with Husimi distributions.
Angelo Plastino, Flavia Pennini, Gustavo Ferri   +2 more
doaj   +5 more sources

Mutual information bounded by Fisher information

Physical Review Research
We derive a general upper bound to mutual information in terms of the Fisher information. The bound may be further used to derive a lower bound for the Bayesian quadratic cost. These two provide alternatives to other inequalities in the literature (e.g.,
Wojciech Górecki, Xi Lu, Chiara Macchiavello, Lorenzo Maccone   +3 more
doaj   +3 more sources

Dynamics of the Fisher Information Metric [PDF]

Physical Review E, 2004
We present a method to generate probability distributions that correspond to metrics obeying partial differential equations generated by extremizing a functional $J[g^{\mu\nu}(\theta^i)]$, where $g^{\mu\nu}(\theta^i)$ is the Fisher metric.
A. Einstein, B. R. Frieden, C. C. Rodriguez, C. E. Shannon, C. E. Shannon, E. R. Caianiello, J. Calmet, J. Calmet, Jacques Calmet, K. Schwarzschild, K. Schwarzschild, S. Kullback, S. Weinberg, Xavier Calmet   +13 more
core   +8 more sources

Natural selection maximizes Fisher information [PDF]

Journal of Evolutionary Biology, 2009
AbstractIn biology, information flows from the environment to the genome by the process of natural selection. However, it has not been clear precisely what sort of information metric properly describes natural selection. Here, I show that Fisher information arises as the intrinsic metric of natural selection and evolutionary dynamics.
Steven A Frank
openaire   +5 more sources

Introduction to quantum Fisher information [PDF]

Quantum Probability and Related Topics, 2010
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 ...
Ghinea, Catalin, Petz, Denes
core   +5 more sources

Sub-quantum Fisher information [PDF]

Quantum Science and Technology, 2021
The Quantum Fisher Information (QFI) plays a crucial role in quantum information theory and in many practical applications such as quantum metrology. However, computing the QFI is generally a computationally demanding task. In this work we analyze a lower bound on the QFI which we call the sub-Quantum Fisher Information (sub-QFI).
M Cerezo, Akira Sone, Jacob L Beckey, Patrick J Coles   +3 more
openaire   +2 more sources

Fisher Information in Noisy Intermediate-Scale Quantum Applications [PDF]

Quantum, 2021
The recent advent of noisy intermediate-scale quantum devices, especially near-term quantum computers, has sparked extensive research efforts concerned with their possible applications.
Johannes Jakob Meyer
doaj   +1 more source