The entropy universe

M Ribeiro, T Henriques, L Castro, A Souto, L Antunes… - Entropy, 2021 - mdpi.com
About 160 years ago, the concept of entropy was introduced in thermodynamics by Rudolf
Clausius. Since then, it has been continually extended, interpreted, and applied by …

Strong majorization entropic uncertainty relations

Ł Rudnicki, Z Puchała, K Życzkowski - Physical Review A, 2014 - APS
We analyze entropic uncertainty relations in a finite-dimensional Hilbert space and derive
several strong bounds for the sum of two entropies obtained in projective measurements …

Instantaneous spectral entropy: An application for the online monitoring of multi-storey frame structures

M Civera, C Surace - Buildings, 2022 - mdpi.com
Damage assessment techniques based on entropy measurements have been recently
proposed for the structural health monitoring of civil structures and infrastructures. A quasi …

Non-Hermitian generalization of Rényi entropy

D Li, C Zheng - Entropy, 2022 - mdpi.com
From their conception to present times, different concepts and definitions of entropy take key
roles in a variety of areas from thermodynamics to information science, and they can be …

[HTML][HTML] A flexible generalized XLindley distribution with application to engineering

RR Musekwa, B Makubate - Scientific African, 2024 - Elsevier
This paper presents a novel three-parameter distribution called the exponentiated
generalized XLindley distribution. The distribution's probability density function can be …

General entropy-like uncertainty relations in finite dimensions

S Zozor, GM Bosyk, M Portesi - Journal of Physics A …, 2014 - iopscience.iop.org
We revisit entropic formulations of the uncertainty principle (UP) for an arbitrary pair of
positive operator-valued measures (POVM) A and B, acting on finite dimensional Hilbert …

Rényi entropy uncertainty relation for successive projective measurements

J Zhang, Y Zhang, C Yu - Quantum Information Processing, 2015 - Springer
We investigate the uncertainty principle for two successive projective measurements in
terms of Rényi entropy based on a single quantum system. Our results cover a large family …

Singular value decomposition and entropy dimension of fractals

X Weng, A Perry, M Maroun… - … Conference on Image …, 2022 - ieeexplore.ieee.org
We analyze the singular value decomposition (SVD) and SVD entropy of Cantor fractals
produced by the Kronecker product. Our primary results show that SVD entropy is a measure …

Chain rules for a mutual information based on Rényi zero-relative entropy

Y Zhai, B Yang, Z Xi - Physical Review A, 2023 - APS
Quantum Rényi relative entropies play a significant part in characterizing operational tasks
in quantum information theory. In this paper, we first give some fundamental properties of the …

Min-entropy uncertainty relation for finite-size cryptography

NHY Ng, M Berta, S Wehner - Physical Review A—Atomic, Molecular, and …, 2012 - APS
Apart from their foundational significance, entropic uncertainty relations play a central role in
proving the security of quantum cryptographic protocols. Of particular interest are therefore …