Uncertainty relations are central to quantum physics. While they were originally formulated
in terms of variances, they have later been successfully expressed with entropies following …

Sum and product uncertainty relations, containing variances of three or four observables, but
not containing explicitly their covariances, are derived. Their consequences are, in …

Constructive techniques to establish state-independent uncertainty relations for the sum of
variances of arbitrary two observables are presented. We investigate the range of …

Given a narrow signal over the real line, there is a limit to the localisation of its Fourier
transform. In spaces of prime dimensions, Tao derived a sharp state-independent …

We investigate the measurement uncertainties of a triple of positive-operator-valued
measures based on statistical distance and formulate state-independent tight uncertainty …

In this paper, we derive the optimal Cauchy–Schwarz inequalities on a class of Hilbert and
Krein modules over a Clifford algebra, which heavily depend on the Clifford algebraic …

In this paper, we prove the sum and product uncertainty relations conjectured by V Dodonov
for multiple observables. The uncertainty relations for linear combinations of position and …

Uncertainty relations are of profound significance in quantum mechanics and quantum
information theory. The well-known Heisenberg-Robertson uncertainty relation presents the …

Let $\mathcal {X} $ be a 3-product space. Let $ A:\mathcal {D}(A)\subseteq\mathcal
{X}\to\mathcal {X} $, $ B:\mathcal {D}(B)\subseteq\mathcal {X}\to\mathcal {X} $ and …

In the light of the Busch, Lathi and Werner proposal, we explore, for the first time, the joint
measurements and confirmation of uncertainty relations for three incompatible observables …