Incompatibility of quantum devices is a useful resource in various information theoretical tasks, and it at the heart some fundamental features theory. While incompatibility measurements channels well studied, instruments has not been explored much detail. In this work, we revise notion instrument compatibility introduced literature that call traditional compatibility. Then, introduce parallel ...

To capture a multidimensional consistency feature of integrable systems in terms geometry, we give condition called geodesic compatibility implying the existence integrals involution flow. The is constructed from concrete example namely Calogero's goldfish system through Poisson structure and variational principle. geometrical view gives compatible parallel transports between two different Hami...