Results 1 to 10 of about 4,381,784 (312)
Relative entropy and catalytic relative majorization [PDF]
Physical Review Research, 2020 Given two pairs of quantum states, a fundamental question in the resource theory of asymmetric distinguishability is whether there exists a quantum channel converting one pair to the other.
Soorya Rethinasamy, Mark M. Wilde
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Entropy, 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
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Chaos and relative entropy [PDF]
Journal 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
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Belavkin–Staszewski Relative Entropy, Conditional Entropy, and Mutual Information [PDF]
Entropy, 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
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Relative Entropy in Biological Systems
Entropy, 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
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Relative Entropy in Determining Degressive Proportional Allocations [PDF]
Entropy, 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
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On Relations Between the Relative Entropy and χ2-Divergence, Generalizations and Applications. [PDF]
Entropy (Basel), 2020 This paper is focused on a study of integral relations between the relative entropy and the chi-squared divergence, which are two fundamental divergence measures in information theory and statistics, a study of the implications of these relations, their ...
Nishiyama T, Sason I.
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Max- relative entropy of coherence: an operational coherence measure [PDF]
Physical Review Letters, 2017 The operational characterization of quantum coherence is the corner stone in the development of resource theory of coherence. We introduce a new coherence quantifier based on max-relative entropy.
Bu, Kaifeng +4 more
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Relative entropy in scattering and the S-matrix bootstrap [PDF]
SciPost Physics, 2020 We consider entanglement measures in 2-2 scattering in quantum field theories, focusing on relative entropy which distinguishes two different density matrices.
Anjishnu Bose, Parthiv Haldar, Aninda Sinha, Pritish Sinha, Shaswat S Tiwari
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Image segmentation based on gray level and local relative entropy two dimensional histogram. [PDF]
PLoS One, 2020 Though traditional thresholding methods are simple and efficient, they may result in poor segmentation results because only image’s brightness information is taken into account in the procedure of threshold selection.
Yang W, Cai L, Wu F.
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