Results 1 to 10 of about 492,681 (274)
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
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Chaos and relative entropy [PDF]
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
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Belavkin–Staszewski Relative Entropy, Conditional Entropy, and Mutual Information [PDF]
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
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Relative Entropy in Biological Systems
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
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Relative Entropy in Determining Degressive Proportional Allocations [PDF]
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
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Quantum Relative Entropy of Tagging and Thermodynamics [PDF]
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
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Born’s Rule from Contextual Relative-Entropy Minimization [PDF]
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
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Adding Prior Information in FWI through Relative Entropy [PDF]
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
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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
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On a new generalized Tsallis relative operator entropy
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
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