Results 11 to 20 of about 4,515 (154)
Holographic Rényi relative divergence in JT gravity
Journal of High Energy Physics, 2021 We holographically compute the Rényi relative divergence D α (ρ + ||ρ − ) between two density matrices ρ +, ρ − prepared by path integrals with constant background fields λ ± coupled to a marginal operator in JT gravity.
Tomonori Ugajin
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Refined Young Inequality and Its Application to Divergences
Entropy, 2021 We give bounds on the difference between the weighted arithmetic mean and the weighted geometric mean. These imply refined Young inequalities and the reverses of the Young inequality. We also studied some properties on the difference between the weighted
Shigeru Furuichi, Nicuşor Minculete
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Fractal Divergences of Generalized Jacobi Polynomials
Mathematics, 2023 The notion of entropy (including macro state entropy and information entropy) is used, among others, to define the fractal dimension. Rényi entropy constitutes the basis for the generalized correlation dimension of multifractals.
Răzvan-Cornel Sfetcu, Vasile Preda
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Conditional Rényi Divergences and Horse Betting
Entropy, 2020 Motivated by a horse betting problem, a new conditional Rényi divergence is introduced. It is compared with the conditional Rényi divergences that appear in the definitions of the dependence measures by Csiszár and Sibson, and the ...
Cédric Bleuler +2 more
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Geometry Induced by a Generalization of Rényi Divergence
Entropy, 2016 In this paper, we propose a generalization of Rényi divergence, and then we investigate its induced geometry. This generalization is given in terms of a φ-function, the same function that is used in the definition of non-parametric φ-families.
David C. de Souza +2 more
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A simple probabilistic construction yielding generalized entropies and divergences, escort distributions and q-Gaussians [PDF]
, 2012 We give a simple probabilistic description of a transition between two states which leads to a generalized escort distribution. When the parameter of the distribution varies, it defines a parametric curve that we call an escort-path.
Abe +35 more
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A Rényi quantum null energy condition: proof for free field theories
Journal of High Energy Physics, 2021 The Quantum Null Energy Condition (QNEC) is a lower bound on the stress-energy tensor in quantum field theory that has been proved quite generally.
Mudassir Moosa +2 more
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On Representations of Divergence Measures and Related Quantities in Exponential Families
Entropy, 2021 Within exponential families, which may consist of multi-parameter and multivariate distributions, a variety of divergence measures, such as the Kullback–Leibler divergence, the Cressie–Read divergence, the Rényi divergence, and the Hellinger metric, can ...
Stefan Bedbur, Udo Kamps
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Correlation functions and quantum measures of descendant states
Journal of High Energy Physics, 2021 We discuss a computer implementation of a recursive formula to calculate correlation functions of descendant states in two-dimensional CFT. This allows us to obtain any N-point function of vacuum descendants, or to express the correlator as a ...
Enrico M. Brehm, Matteo Broccoli
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Strong converse for the quantum capacity of the erasure channel for almost all codes [PDF]
, 2014 A strong converse theorem for channel capacity establishes that the error probability in any communication scheme for a given channel necessarily tends to one if the rate of communication exceeds the channel's capacity.
Wilde, Mark M., Winter, Andreas
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