Heisenberg's uncertainty principle forms a fundamental element of quantum mechanics.
Uncertainty relations in terms of entropies were initially proposed to deal with conceptual …

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 …

We investigate entropic uncertainty relations for two or more binary measurements, for
example, spin-1 2 or polarization measurements. We argue that the effective …

We improve the entropic uncertainty relations for position and momentum coarse-grained
measurements. We derive the continuous, coarse-grained counterparts of the discrete …

We present a quantum version of the generalized (h, ϕ)(h, ϕ)-entropies, introduced by
Salicrú et al. for the study of classical probability distributions. We establish their basic …

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 …

The Rényi entropies $ R_ {p}[\rho], 0< p<\infty $ of the probability density $\rho_ {n, l, m}(\vec
{r\,}) $ of a physical system completely characterize the chemical and physical properties of …

We derive explicit bounds for the average entropy characterizing measurements of a pure
quantum state of size N in L orthogonal bases. Lower bounds lead to novel entropic …

Abstract Information entropies provide powerful and flexible way to express restrictions
imposed by the uncertainty principle. This approach seems to be very suitable in application …

We discuss the dependence of the Shannon entropy of normalized finite rank-1 POVMs on
the choice of the input state, looking for the states that minimize this quantity. To distinguish …