Strong majorization entropic uncertainty relations
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 …
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
Damage assessment techniques based on entropy measurements have been recently
proposed for the structural health monitoring of civil structures and infrastructures. A quasi …
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 …
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 …
generalized XLindley distribution. The distribution's probability density function can be …
General entropy-like uncertainty relations in finite dimensions
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 …
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 …
terms of Rényi entropy based on a single quantum system. Our results cover a large family …
Singular value decomposition and entropy dimension of fractals
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 …
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 …
in quantum information theory. In this paper, we first give some fundamental properties of the …
Min-entropy uncertainty relation for finite-size cryptography
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 …
proving the security of quantum cryptographic protocols. Of particular interest are therefore …