Results 11 to 20 of about 3,054,956 (233)
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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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 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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Born’s Rule from Contextual Relative-Entropy Minimization [PDF]
EntropyWe 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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Quantum Relative Entropy of Tagging and Thermodynamics [PDF]
Entropy, 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
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Adding Prior Information in FWI through Relative Entropy [PDF]
Entropy, 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
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Some Inequalities for the Relative Entropy and Applications [PDF]
, 1998 Some new inequalities for the relative entropy and applications are ...
Dragomir, Sever S
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Some Upper Bounds for Relative Entropy and Applications [PDF]
, 1998 In this paper we derive some upper bounds for the relative entropy D(p || q) of two probability distribution and apply them to mutual information and entropy mapping.
Sunde, J +2 more
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Free and classical entropy over the circle. [PDF]
, 2007 Relative entropy with respect to normalized arclength measure on the circle is greater than or equal to the negative logarithmic energy (Voiculescu's negative free entropy) and is greater than or equal to the modified relative free entropy.
Blower, Gordon
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On a new generalized Tsallis relative operator entropy
Mathematics 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
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