Results 11 to 20 of about 4,381,784 (312)
Entanglement entropy, relative entropy and duality [PDF]
Journal of High Energy Physics, 2019 A definition for the entanglement entropy in both Abelian and non-Abelian gauge theories has been given in the literature, based on an extended Hilbert space construction.
Upamanyu Moitra +2 more
doaj +4 more sources
Relative Entropy Derivative Bounds [PDF]
Entropy, 2013 We show that the derivative of the relative entropy with respect to its parameters is lower and upper bounded. We characterize the conditions under which this derivative can reach zero.
Pablo Zegers +2 more
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Thermodynamics from relative entropy. [PDF]
Physical Review E, 2020 Thermodynamics can be developed from a microscopic starting point in terms of entropy and the maximum entropy principle. We investigate here to what extent one can replace entropy with relative entropy which has several advantages, for example, in the ...
S. Floerchinger, T. Haas
semanticscholar +5 more sources
Advances in Mathematics, 2017 By using Araki's relative entropy, Lieb's convexity and the theory of singular integrals, we compute the mutual information associated with free fermions, and we deduce many results about entropies for chiral CFT's which are embedded into free fermions ...
Jin Chen (130241) +5 more
core +10 more sources
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
doaj +2 more sources
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
doaj +2 more sources
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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Entropy and Relative Entropy From Information-Theoretic Principles [PDF]
IEEE Transactions on Information Theory, 2020 We introduce an axiomatic approach to entropies and relative entropies that relies only on minimal information-theoretic axioms, namely monotonicity under mixing and data-processing as well as additivity for product distributions.
G. Gour, M. Tomamichel
semanticscholar +4 more sources
DEA Cross-Efficiency Ranking Method Based on Grey Correlation Degree and Relative Entropy [PDF]
Entropy (Basel), 2019 The ranking of decision-making units (DMUs) is one of the most significant issues in efficiency evaluation. However, the calculation results from the traditional Data envelopment analysis(DEA), method sometimes include multiple efficient DMUs or multiple
Si Q, Ma Z.
europepmc +2 more sources
Information entropy and relative entropy models for analyzing structural robustness in airway networks [PDF]
Scientific ReportsAs a critical foundation of air transportation, the airway network (AIN) plays an essential role in ensuring smooth flight operations. Analyzing and optimizing the structural characteristics of the AIN can help reduce flight delays and enhance the safety
Keyan Zhao +3 more
doaj +2 more sources