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 …

In this work we study various notions of uncertainty for angular momentum in the spin-s
representation of SU (2). We characterize the 'uncertainty regions' given by all vectors …

The Heisenberg uncertainty principle shows that no one can specify the values of the non-
commuting canonically conjugated variables simultaneously. However, the uncertainty …

Quantum uncertainty relations constrain the precision of measurements across multiple non-
commuting quantum mechanical observables. Here, we introduce the concept of optimal …

Quantifying quantum mechanical uncertainty is vital for the increasing number of
experiments that reach the uncertainty limited regime. We present a method for computing …

The uncertainty principle is considered to be one of the most striking features in quantum
mechanics. In the textbook literature, uncertainty relations usually refer to the preparation …

Uncertainty relation lies at the heart of quantum mechanics, characterizing the
incompatibility of non-commuting observables in the preparation of quantum states. An …

Heisenberg-type measurement uncertainty relations (MURs) of two quantum observables
are essential for contemporary research in quantum foundations and quantum information …

We derive several uncertainty relations for two arbitrary unitary operators acting on physical
states of a Hilbert space. We show that our bounds are tighter in various cases than the ones …

Uncertainty relation is one of the fundamental building blocks of quantum theory.
Nevertheless, the traditional uncertainty relations do not fully capture the concept of …