[HTML][HTML] Hardy and uncertainty inequalities on stratified Lie groups
P Ciatti, MG Cowling, F Ricci - Advances in Mathematics, 2015 - Elsevier
We prove various Hardy-type and uncertainty inequalities on a stratified Lie group G. In
particular, we show that the operators T α: f↦|⋅|− α L− α/2 f, where|⋅| is a homogeneous …
particular, we show that the operators T α: f↦|⋅|− α L− α/2 f, where|⋅| is a homogeneous …
Weighted inequalities and uncertainty principles for the -generalized Fourier transform
TR Johansen - International Journal of Mathematics, 2016 - World Scientific
We obtain several versions of the Hausdorff–Young and Hardy–Littlewood inequalities for
the (k, a)-generalized Fourier transform recently investigated at length by Ben Saïd …
the (k, a)-generalized Fourier transform recently investigated at length by Ben Saïd …
System-time entanglement in a discrete-time model
We present a model of discrete quantum evolution based on quantum correlations between
the evolving system and a reference quantum clock system. A quantum circuit for the model …
the evolving system and a reference quantum clock system. A quantum circuit for the model …
History states of systems and operators
A Boette, R Rossignoli - Physical Review A, 2018 - APS
We discuss some fundamental properties of discrete system-time history states. Such states
arise for a quantum reference clock of finite dimension and lead to a unitary evolution of …
arise for a quantum reference clock of finite dimension and lead to a unitary evolution of …
On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles
S Zozor, C Vignat - Physica A: Statistical Mechanics and its Applications, 2007 - Elsevier
In this paper we revisit the Bialynicki-Birula and Mycielski uncertainty principle and its cases
of equality. This Shannon entropic version of the well-known Heisenberg uncertainty …
of equality. This Shannon entropic version of the well-known Heisenberg uncertainty …
[HTML][HTML] Noncommutative uncertainty principles
The classical uncertainty principles deal with functions on abelian groups. In this paper, we
discuss the uncertainty principles for finite index subfactors which include the cases for finite …
discuss the uncertainty principles for finite index subfactors which include the cases for finite …
[PDF][PDF] Entropy-based uncertainty measures for L
V DeBrunner, JP Havlicek, T Przebinda… - IEEE transactions on …, 2005 - Citeseer
The traditional Heisenberg–Weyl measure quantifies the joint localization, uncertainty, or
concentration of a signal in the phase plane based on a product of energies expressed as …
concentration of a signal in the phase plane based on a product of energies expressed as …
[HTML][HTML] Uncertainty principles for locally compact quantum groups
In this paper, we prove the Donoho–Stark uncertainty principle for locally compact quantum
groups and characterize the minimizer which are bi-shifts of group-like projections. We also …
groups and characterize the minimizer which are bi-shifts of group-like projections. We also …
The quantum condition space
The fundamental properties of quantum physics are exploited to evaluate event probabilities
with projection measurements. Next, to study what events can be specified by quantum …
with projection measurements. Next, to study what events can be specified by quantum …
Rank-deficient submatrices of Fourier matrices
S Delvaux, M Van Barel - Linear algebra and its applications, 2008 - Elsevier
We consider the maximal rank-deficient submatrices of Fourier matrices with order a power
of a prime number. We do this by considering a hierarchical subdivision of these matrices …
of a prime number. We do this by considering a hierarchical subdivision of these matrices …