The domain of validity of standard thermodynamics and Boltzmann-Gibbs statistical
mechanics is focused on along a historical perspective. It is then formally enlarged in order …

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

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 …

An unavoidable task in quantum information processing is how to obtain data about the state
of an individual system by suitable measurements. Informationally complete measurements …

One of the most useful tools for distinguishing between chaotic and stochastic time series is
the so-called complexity–entropy causality plane. This diagram involves two complexity …

The position-momentum Shannon and Rényi uncertainty products of general quantum
systems are shown to be bounded not only from below (through the known uncertainty …

In this work we find that not only the Heisenberg-like uncertainty products and the Rényi-
entropy-based uncertainty sum have the same first-order values for all the quantum states of …

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 …

Rényi complexity ratio of two density functions is introduced for three and multidimensional
quantum systems. Localization property of several density functions are defined and five …

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 an …