Colloquium: Incompatible measurements in quantum information science

O Gühne, E Haapasalo, T Kraft, JP Pellonpää… - Reviews of Modern …, 2023 - APS
Some measurements in quantum mechanics disturb each other. This has puzzled physicists
since the formulation of the theory, but only in recent decades has the incompatibility of …

Compatibility of covariant quantum channels with emphasis on Weyl symmetry

E Haapasalo - Annales Henri Poincaré, 2019 - Springer
Compatibility conditions of quantum channels featuring symmetry through covariance are
studied. Compatibility here means the possibility of obtaining two or more channels through …

The Choi–Jamiołkowski isomorphism and covariant quantum channels

E Haapasalo - Quantum Studies: Mathematics and Foundations, 2021 - Springer
A generalization of the Choi–Jamiołkowski isomorphism for completely positive maps
between operator algebras is introduced. Particular emphasis is placed on the case of …

Optimal covariant quantum measurements

E Haapasalo, JP Pellonpää - Journal of Physics A: Mathematical …, 2021 - iopscience.iop.org
We discuss symmetric quantum measurements and the associated covariant observables
modelled, respectively, as instruments and positive-operator-valued measures. The …

Covariant CP-Instruments and Their Convolution Semigroups

J Heo, UC Ji - Complex Analysis and Operator Theory, 2021 - Springer
Using probability operators and Fourier transforms of CP-instruments on von Neumann
algebras, we give necessary and sufficient conditions for operators to be probability …

Kolmogorov Decompositions and Extremality Conditions for Positive Covariant Kernels

E Haapasalo, JP Pellonpää - Reports on Mathematical Physics, 2019 - Elsevier
We study positive kernels on X× X, where X is a set equipped with an action of a group, and
taking values in the set of A-sesquilinear forms on a (not necessarily Hilbert) module over a …