The min-entropy, in information theory, is the smallest of the Rényi family of entropies, corresponding to the most conservative way of measuring the unpredictability...

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

a length asymptotic to H ∞ ( X ) {\displaystyle H_{\infty }(X)} (the min-entropy of X) bits from a random variable X) that are almost uniformly distributed...

randomness X {\displaystyle X} that gives n {\displaystyle n} bits with min-entropy log ⁡ K {\displaystyle \log K} , the distribution E ( X , U D ) {\displaystyle...

ISSN 0004-5411 Reingold, Omer; Vadhan, Salil; Wigderson, Avi (2002), "Entropy waves, the zig-zag graph product, and new constant-degree expanders", Annals...

entropy deficiency of the source (rather than its length) and that extract almost all the entropy of high min-entropy sources. These high min-entropy...

adversarial, we take the worst case over A {\displaystyle A} . Min-entropy indicates the worst-case entropy. Mathematically speaking, it is defined as H ∞ ( A )...

μ, which must be equal to 1 by the normalization property. Rényi entropy Min-entropy This article incorporates material from Hartley function on PlanetMath...

information refers to both the technical definition in terms of Von Neumann entropy and the general computational term. It is an interdisciplinary field that...

sufficient randomness in extractors is min-entropy, a value related to Shannon entropy through Rényi entropy; Rényi entropy is also used in evaluating randomness...

arbitrary min-entropy into a smaller string, while not losing a lot of min-entropy in the process. This new string has very high min-entropy compared to...

possible n-bit output value y, if k is chosen with a distribution with high min-entropy, then it is infeasible to find x such that H( k || x ) = y (where the...

"extractor", is a function, which being applied to output from a weak entropy source, together with a short, uniformly random seed, generates a highly...

In classical thermodynamics, entropy (from Greek τρoπή (tropḗ) 'transformation') is a property of a thermodynamic system that expresses the direction...

"randomness extractor", taking a potentially non-uniform value of high min-entropy and generating a value indistinguishable from a uniform random value...

In statistics and information theory, a maximum entropy probability distribution has entropy that is at least as great as that of all other members of...

have an entropy value of n. The inputs of the conditioning function will need to have a higher min-entropy value H to satisfy the full-entropy definition...

credential vs. when she enters incorrect credentials. Shannon entropy, guessing entropy, and min-entropy are prevalent notions of quantitative information leakage...

High-entropy alloys (HEAs) are alloys that are formed by mixing equal or relatively large proportions of (usually) five or more elements. Prior to the...

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...

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

states that for a closed system, with constant external parameters and entropy, the internal energy will decrease and approach a minimum value at equilibrium...

question and include privacy amplification, error-correcting codes, min-entropy sampling, and interactive hashing. To demonstrate that all two-party...

Entropy production (or generation) is the amount of entropy which is produced during heat process to evaluate the efficiency of the process. Entropy is...

( Y ∣ X ) {\displaystyle H(Y\mid X)} are the entropy of the output signal Y and the conditional entropy of the output signal given the input signal, respectively:...

graph entropy of G {\displaystyle G} , denoted H ( G ) {\displaystyle H(G)} is defined as H ( G ) = min X , Y I ( X ; Y ) {\displaystyle H(G)=\min _{X,Y}I(X;Y)}...

quantum relative entropy is a measure of distinguishability between two quantum states. It is the quantum mechanical analog of relative entropy. For simplicity...

complexity, program-size complexity, descriptive complexity, or algorithmic entropy. It is named after Andrey Kolmogorov, who first published on the subject...

distribution with λ = 1/μ has the largest differential entropy. In other words, it is the maximum entropy probability distribution for a random variate X which...

the von Neumann entropy of either particle is log(2), which can be shown to be the maximum entropy for 2 × 2 mixed states.: 15  Entropy provides one tool...