Heisenberg's uncertainty principle is usually taken to express a limitation of operational
possibilities imposed by quantum mechanics. Here we demonstrate that the full content of …

Recent years have witnessed a controversy over Heisenberg's famous error-disturbance
relation. Here the conflict is resolved by way of an analysis of the possible …

Measurement uncertainty relations are quantitative bounds on the errors in an approximate
joint measurement of two observables. They can be seen as a generalization of the …

Symmetry is a unifying concept in physics. In quantum information and beyond, it is known
that quantum states possessing symmetry are not useful for certain information-processing …

We generalize the concept of the weak value of a quantum observable to cover arbitrary real
positive operator measures. We show that the definition is operationally meaningful in the …

Symmetry is an important and unifying notion in many areas of physics. In quantum
mechanics, it is possible to eliminate degrees of freedom from a system by leveraging …

We develop a quantum harmonic analysis framework for the affine group. This encapsulates
several examples in the literature such as affine localization operators, covariant integral …

Heisenberg's uncertainty principle has recently led to general measurement uncertainty
relations for quantum systems: incompatible observables can be measured jointly or in …

We consider questions related to quantizing complex valued functions defined on a locally
compact topological group. In the case of bounded functions, we generalize R. Werner's …

which together comprise the full content of the uncertainty: this relation can be read as
describing a trade-off (a) between the widths of the probability distributions of position and …