We explore the different meanings of “quantum uncertainty” contained in Heisenberg's
seminal paper from 1927, and also some of the precise definitions that were developed …

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

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

The standard state-dependent Heisenberg-Robertson uncertainty-relation lower bound fails
to capture the quintessential incompatibility of observables as the bound can be zero for …

The entropic uncertainty principle in the form proven by Maassen and Uffink yields a
fundamental inequality that is prominently used in many places all over the field of quantum …

The uncertainty principle is an important tenet and active field of research in quantum
physics. Information-theoretic uncertainty relations, formulated using entropies, provide one …

Various theories that aim at unifying gravity with quantum mechanics suggest modifications
of the Heisenberg algebra for position and momentum. From the perspective of quantum …

We consider the uncertainty between two pairs of local projective measurements performed
on a multipartite system. We show that the optimal bound in any linear uncertainty relation …

We derive strong variance-based uncertainty relations for arbitrary two and more unitary
operators by re-examining the mathematical foundation of the uncertainty relation. This is …

Information-theoretic definitions for the noise associated with a quantum measurement and
the corresponding disturbance to the state of the system have recently been introduced [F …