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Colloquium: Incompatible measurements in quantum information science
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 …
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 …
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 …
between operator algebras is introduced. Particular emphasis is placed on the case of …
Optimal covariant quantum measurements
We discuss symmetric quantum measurements and the associated covariant observables
modelled, respectively, as instruments and positive-operator-valued measures. The …
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 …
algebras, we give necessary and sufficient conditions for operators to be probability …
Kolmogorov Decompositions and Extremality Conditions for Positive Covariant Kernels
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 …
taking values in the set of A-sesquilinear forms on a (not necessarily Hilbert) module over a …