Results 1 to 10 of about 492,681 (274)

On a 2-Relative Entropy [PDF]

open access: yesEntropy, 2021
We construct a 2-categorical extension of the relative entropy functor of Baez and Fritz, and show that our construction is functorial with respect to vertical morphisms.
James Fullwood
doaj   +6 more sources

Chaos and relative entropy [PDF]

open access: yesJournal of High Energy Physics, 2018
One characteristic feature of a chaotic system is the quick delocalization of quantum information (fast scrambling). One therefore expects that in such a system a state quickly becomes locally indistinguishable from its perturbations.
Yuya O. Nakagawa   +2 more
doaj   +4 more sources

Belavkin–Staszewski Relative Entropy, Conditional Entropy, and Mutual Information [PDF]

open access: yesEntropy, 2022
Belavkin–Staszewski relative entropy can naturally characterize the effects of the possible noncommutativity of quantum states. In this paper, two new conditional entropy terms and four new mutual information terms are first defined by replacing quantum ...
Yuan Zhai, Bo Yang, Zhengjun Xi
doaj   +2 more sources

Relative Entropy in Biological Systems

open access: yesEntropy, 2016
In this paper we review various information-theoretic characterizations of the approach to equilibrium in biological systems. The replicator equation, evolutionary game theory, Markov processes and chemical reaction networks all describe the dynamics of ...
John C. Baez, Blake S. Pollard
doaj   +4 more sources

Relative Entropy in Determining Degressive Proportional Allocations [PDF]

open access: yesEntropy, 2021
The principle of degressively proportional apportionment of goods, being a compromise between equality and proportionality, facilitates the application of many different allocation rules.
Katarzyna Cegiełka   +4 more
doaj   +2 more sources

Quantum Relative Entropy of Tagging and Thermodynamics [PDF]

open access: yesEntropy, 2020
Thermodynamics establishes a relation between the work that can be obtained in a transformation of a physical system and its relative entropy with respect to the equilibrium state.
Jose Diazdelacruz
doaj   +2 more sources

Born’s Rule from Contextual Relative-Entropy Minimization [PDF]

open access: yesEntropy
We give a variational characterization of the Born rule. For each measurement context, we project a quantum state ρ onto the corresponding abelian algebra by minimizing Umegaki relative entropy; Petz’s Pythagorean identity makes the dephased state the ...
Arash Zaghi
doaj   +2 more sources

Adding Prior Information in FWI through Relative Entropy [PDF]

open access: yesEntropy, 2021
Full waveform inversion is an advantageous technique for obtaining high-resolution subsurface information. In the petroleum industry, mainly in reservoir characterisation, it is common to use information from wells as previous information to decrease the
Danilo Santos Cruz   +3 more
doaj   +2 more sources

Fractional Cumulative Residual Mean Relative Entropy and Its Application in an Aeroengine Gas Path System

open access: yesFractal and Fractional, 2023
Mean relative entropy has a wide range of applications in measuring information differences. However, relative entropy is difficult to approximate from empirical distribution entropy.
Keqiang Dong, Shushu Li
doaj   +1 more source

On a new generalized Tsallis relative operator entropy

open access: yesMathematics in Applied Sciences and Engineering, 2023
In this paper, we present a generalization of Tsallis relative operator entropy defined for positive operators and we investigate some related properties.
Lahcen Tarik   +2 more
doaj   +1 more source

Home - About - Disclaimer - Privacy