Results 31 to 40 of about 11,030 (203)
Note on entropy dynamics in the Brownian SYK model
Journal of High Energy Physics, 2021 We study the time evolution of Rényi entropy in a system of two coupled Brownian SYK clusters evolving from an initial product state. The Rényi entropy of one cluster grows linearly and then saturates to the coarse grained entropy.
Shao-Kai Jian, Brian Swingle
doaj +1 more source
Unified entropic measures of quantum correlations induced by local measurements [PDF]
, 2016 We introduce quantum correlations measures based on the minimal change in unified entropies induced by local rank-one projective measurements, divided by a factor that depends on the generalized purity of the system in the case of non-additive entropies.
Bellomo, G. +4 more
core +4 more sources
, 2001 The q-exponential distributions, which are generalizations of the Zipf-Mandelbrot power-law distribution, are frequently encountered in complex systems at their stationary states.
A. K. Rajagopal +8 more
core +3 more sources
Samplers and Extractors for Unbounded Functions [PDF]
, 2019 Blasiok (SODA\u2718) recently introduced the notion of a subgaussian sampler, defined as an averaging sampler for approximating the mean of functions f from {0,1}^m to the real numbers such that f(U_m) has subgaussian tails, and asked for explicit ...
Agrawal, Rohit
core +2 more sources
Point Information Gain and Multidimensional Data Analysis
, 2016 We generalize the Point information gain (PIG) and derived quantities, i.e. Point information entropy (PIE) and Point information entropy density (PIED), for the case of R\'enyi entropy and simulate the behavior of PIG for typical distributions.
Císař, Petr +6 more
core +2 more sources
The information-theoretic meaning of Gagliardo--Nirenberg type inequalities
, 2018 Gagliardo--Nirenberg inequalities are interpolation inequalities which were proved independently by Gagliardo and Nirenberg in the late fifties. In recent years, their connections with theoretic aspects of information theory and nonlinear diffusion ...
Toscani, Giuseppe
core +1 more source
Green's function approach to entanglement entropy on lattices and fuzzy spaces
Physics Letters B, 2019 We develop a Green's function approach to compute Rényi entanglement entropy on lattices and fuzzy spaces. The Rényi entropy resulting from tracing out an arbitrary collection of subsets of coupled harmonic oscillators is written as zero temperature ...
Amel Allouche, Djamel Dou
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Some new results involving residual Renyi's information measure for k-record values
AIMS MathematicsThis article dealt with further properties of the Renyi entropy and the residual Renyi entropy of $ k $-record values. First, we discussed the Renyi entropy order and its connection with the usual stochastic and dispersive orders.
Mansour Shrahili
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Journal of Inequalities and Applications, 2023 In this paper, four new Green functions are used to generalize Levinson-type inequalities for the class of 3-convex functions. The f-divergence, Renyi entropy, Renyi divergence, Shannon entropy, and the Zipf–Mandelbrot law are also used to apply the main
Awais Rasheed +3 more
doaj +1 more source
Advances in Position‐Momentum Entanglement: A Versatile Tool for Quantum Technologies
Laser &Photonics Reviews, EarlyView.Position–momentum entanglement constitutes a high‐dimensional continuous‐variable resource in quantum optics. Recent advances in its generation, characterization, and control are reviewed, with emphasis on spontaneous parametric down‐conversion and modern measurement techniques.
Satyajeet Patil +6 more
wiley +1 more source