activity
20062026
most citedSome extensions of the uncertainty principle

81 citations · 322 across the 17 of their papers we have counts for

collaborators

19 papers

eess.SP2026

Generalized likelihood ratio test for magnetic anomaly detection: a geometrical approach

C. Chenevas-Paule, S. Zozor, L. -L. Rouve +3

State-of-the-art approaches to magnetic anomaly detection rely on the generalized likelihood ratio test (GLRT). These approaches are based on the formulation of a parametric model…

eess.SP2025

On multipolar magnetic anomaly detection: multipolar signal subspaces, an analytical orthonormal basis, multipolar truncature and detection performance

Clément Chenevas-Paule, Steeve Zozor, Laure-Line Rouve +3

In this paper, we consider the magnetic anomaly detection problem which aims to find hidden ferromagnetic masses by estimating the weak perturbation they induce on local Earth's ma…

math-ph2024

Some informational inequalities involving generalized trigonometric functions and a new class of generalized moments

David Puertas-Centeno, Steeve Zozor

In this work, we define a family of probability densities involving the generalized trigonometric functions defined by Drábek and Manásevich [1], which we name Generalized Trigonom…

quant-ph2021★ 1 cited

Fluctuation and dissipation in memoryless open quantum evolutions

Fabricio Toscano, Gustavo M. Bosyk, Steeve Zozor +1

Von Neumann entropy rate for open quantum systems is, in general, written in terms of entropy production and entropy flow rates, encompassing the second law of thermodynamics. When…

math.PR2018

Random matrix-improved estimation of covariance matrix distances

Romain Couillet, Malik Tiomoko, Steeve Zozor +1

Given two sets and (or ) of random vectors with zero mean and positive definite covar…

quant-ph2018★ 8 cited

Generalized entropies in quantum and classical statistical theories

M. Portesi, F. Holik, P. W. Lamberti +3

We study a version of the generalized (h, ϕ)-entropies, introduced by Salicrú et al, for a wide family of probabilistic models that includes quantum and classical statistical theor…

quant-ph2017★ 1 cited

Lossless quantum data compression with exponential penalization: an operational interpretation of the quantum Rényi entropy

G. Bellomo, G. M. Bosyk, F. Holik +1

Based on the problem of quantum data compression in a lossless way, we present here an operational interpretation for the family of quantum Rényi entropies. In order to do this, we…

math-ph2017★ 18 cited

On Generalized Stam Inequalities and Fisher-Rényi Complexity Measures

Steeve Zozor, David Puertas-Centeno, Jesús S. Dehesa

Information-theoretic inequalities play a fundamental role in numerous scientific and technological areas as they generally express the impossibility to have a complete description…

cs.IT2017★ 3 cited

On the analysis of signals in a permutation Lempel-Ziv complexity - permutation Shannon entropy plane

Diego M. Mateos, Steeve Zozor, Felipe Olivarez

The aim of this paper is to introduce the Lempel-Ziv permutation complexity vs permutation entropy plane as a tool to analyze time series of different nature. This two quantities m…

cs.IT2016

Generalization of the de Bruijn's identity to general -entropies and -Fisher informations

Irene Valero Toranzo, Steeve Zozor, Jean-Marc Brossier

In this paper, we propose generalizations of the de Bruijn's identities based on extensions of the Shannon entropy, Fisher information and their associated divergences or relative…

cs.NI2016

2D Time-frequency interference modelling using stochastic geometry for performance evaluation in Low-Power Wide-Area Networks

Zhuocheng Li, Steeve Zozor, Jean-Marc Brossier +2

In wireless networks, interferences between trans- missions are modelled either in time or frequency domain. In this article, we jointly analyze interferences in the time- frequenc…

quant-ph2016★ 13 cited

Unified entropic measures of quantum correlations induced by local measurements

G. M. Bosyk, G. Bellomo, S. Zozor +2

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 t…

quant-ph2015★ 48 cited

A family of generalized quantum entropies: definition and properties

G. M. Bosyk, S. Zozor, F. Holik +2

We present a quantum version of the generalized -entropies, introduced by Salicrú \textit{et al.} for the study of classical probability distributions. We establish their ba…

quant-ph2013★ 23 cited

On a generalized entropic uncertainty relation in the case of the qubit

Steeve Zozor, Gustavo Martín Bosyk, Mariela Portesi

We revisit generalized entropic formulations of the uncertainty principle for an arbitrary pair of quantum observables in two-dimensional Hilbert space. Rényi entropy is used as un…

quant-ph2013★ 2 cited

Rigorous bounds for Renyi entropies of spherically symmetric potentials

Pablo Sánchez-Moreno, Steeve Zozor, Jesus S. Dehesa

The Rényi and Shannon entropies are information-theoretic measures which have enabled to formulate the position-momentum uncertainty principle in a much more adequate and stringent…

quant-ph2011★ 41 cited

Position-momentum uncertainty relations based on moments of arbitrary order

Steeve Zozor, Mariela Portesi, Pablo Sanchez-Moreno +1

The position-momentum uncertainty-like inequality based on moments of arbitrary order for d-dimensional quantum systems, which is a generalization of the celebrated Heisenberg form…

quant-ph2011★ 22 cited

Comment on "Improved bounds on entropic uncertainty relations"

G. M. Bosyk, M. Portesi, A. Plastino +1

We provide an analytical proof of the entropic uncertainty relations presented by de Vicente and Sanchez-Ruiz in [Phys. Rev. A 77, 042110 (2008)] and also show that the replacement…

math.PR2007★ 81 cited

Some extensions of the uncertainty principle

Steeve Zozor, Mariela Portesi, Christophe Vignat

We study the formulation of the uncertainty principle in quantum mechanics in terms of entropic inequalities, extending results recently derived by Bialynicki-Birula [1] and Zozor…

math.PR2006★ 61 cited

On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles

S. Zozor, C. Vignat

In this paper we revisit the Bialynicki-Birula & Mycielski uncertainty principle and its cases of equality. This Shannon entropic version of the well-known Heisenberg uncertainty p…