Generalized relative entropy ( ε {\displaystyle \varepsilon } -relative entropy) is a measure of dissimilarity between two quantum states. It is a "one-shot"...

mathematical statistics, the Kullback–Leibler (KL) divergence (also called relative entropy and I-divergence), denoted D KL ( P ∥ Q ) {\displaystyle D_{\text{KL}}(P\parallel...

information via system B {\displaystyle B} . von Neumann entropy Generalized relative entropy max-entropy Vazirani, Umesh; Vidick, Thomas (29 September 2014)...

Entropy is a scientific concept, most commonly associated with states of disorder, randomness, or uncertainty. The term and the concept are used in diverse...

Rényi entropy is a quantity that generalizes various notions of entropy, including Hartley entropy, Shannon entropy, collision entropy, and min-entropy. The...

f(x)\log(f(x))m(dx).} In this form the relative entropy generalizes (up to change in sign) both the discrete entropy, where the measure m is the counting...

with discrete entropy. In terms of measure theory, the differential entropy of a probability measure is the negative relative entropy from that measure...

entropy states that the probability distribution which best represents the current state of knowledge about a system is the one with largest entropy,...

ISBN 0-521-23682-7. Eu, B.C. (2002). Generalized Thermodynamics. The Thermodynamics of Irreversible Processes and Generalized Hydrodynamics, Kluwer Academic...

conditional entropy is generalized to the conditional quantum entropy. The latter can take negative values, unlike its classical counterpart. Entropy (information...

Y)\,} . In quantum information theory, the joint entropy is generalized into the joint quantum entropy. The above definition is for discrete random variables...

The joint quantum entropy generalizes the classical joint entropy to the context of quantum information theory. Intuitively, given two quantum states...

including the macroscopic entropy, though microscopically referable to the Gibbs statistical mechanical definition of entropy for the canonical ensemble...

complex at all. Information entropy is also sometimes used in information theory as indicative of complexity, but entropy is also high for randomness...

Shannon entropy function is one member of the broader family of classical Rényi entropies, so too can the von Neumann entropy be generalized to the quantum...

Research concerning the relationship between the thermodynamic quantity entropy and both the origin and evolution of life began around the turn of the...

thermodynamic definition of entropy and the Gibbs entropy is not general but instead an exclusive property of the generalized Boltzmann distribution. Furthermore...

Zeta diversity Generalized entropy index Gini coefficient Isolation index Measurement of biodiversity Qualitative variation Relative abundance Species...

variable. The concept of mutual information is intimately linked to that of entropy of a random variable, a fundamental notion in information theory that quantifies...

the concept of relative entropy. Because of its connection with the VaR and the relative entropy, this risk measure is called "entropic value at risk"...

regression, multinomial logit (mlogit), the maximum entropy (MaxEnt) classifier, and the conditional maximum entropy model. Multinomial logistic regression is used...

The first one, for example, would require matrix integration. The relative entropy (Kullback–Leibler divergence, KL divergence) of two distributions in...

after Jacob Bekenstein) is an upper limit on the thermodynamic entropy S, or Shannon entropy H, that can be contained within a given finite region of space...

bound of black hole thermodynamics, which conjectures that the maximum entropy in any region scales with the radius squared, rather than cubed as might...

nearly-ideal gas of molecules. As this quantity H was meant to represent the entropy of thermodynamics, the H-theorem was an early demonstration of the power...

correlation Generalized chi-squared distribution Generalized Dirichlet distribution Generalized entropy index Generalized estimating equation Generalized expected...

Simon's condition can be generalized by taking into account the higher order moments of canonical operators or by using entropic measures. There is a fundamental...

Entropy and the Time Evolution of Macroscopic Systems. Oxford University Press. p. 151. ISBN 978-0-19-954617-6. Tisza, László (1966). Generalized Thermodynamics...

composed of an intensive variable (a generalized force) and its conjugate infinitesimal extensive variable (a generalized displacement). For example, the mechanical...

information theory, strong subadditivity of quantum entropy (SSA) is the relation among the von Neumann entropies of various quantum subsystems of a larger quantum...