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

The problem of finding the resource-free, closest local unitary, to any bipartite unitary gate U
is addressed. Previously discussed as a measure of nonlocality, the distance KD (U) to the …

We prove a few state-dependent uncertainty relations for the product as well as the sum of
variances of two incompatible observables. These uncertainty relations are shown to be …

We investigate quantum steering for multipartite systems by using entropic uncertainty
relations. We introduce entropic steering inequalities whose violation certifies the presence …

In this paper we introduce and investigate the concept of a $\textit {perfect quantum
protractor} $, a pure quantum state $|\psi\rangle\in\mathcal {H} $ that generates three …

We consider two (natural) families of observables O k for systems with dimension d= 3, 4, 5:
the spin observables S x, S y, and S z, and the observables that have mutually unbiased …

We derive upper bounds for Hilbert–Schmidt's quantum coherence of general states of ad-
level quantum system, a qudit, in terms of its incoherent uncertainty, with the latter quantified …

Irreversibility, crucial in both thermodynamics and information theory, is naturally studied by
comparing the evolution—the (forward) channel—with an associated reverse—the reverse …

Maximal sets of mutually unbiased bases are useful throughout quantum physics, both in a
foundational context and for applications. To date, it remains unknown if complete sets of …

The notion of mutual unbiasedness for coarse-grained measurements of quantum
continuous variable systems is considered. It is shown that while the procedure of “standard” …