We study the partially ordered set of equivalence classes quantum measurements endowed with post-processing partial order. The order is fundamental as it enables to compare by their intrinsic noise and gives grounds define important concept incompatibility. Our approach based on mapping this into a simpler using an preserving map investigating resulting image. aim ignore unnecessary details whi...

We demonstrate the way to derive second Painlevé equation P2 and its Bäcklund transformations from deformations of Nonlinear Schrödinger (NLS), all while preserving strict invariance with respect Schlesinger transformations. The proposed algorithm allows for a construction Jordan algebra-based completely integrable multiple-field generalizations also producing corresponding suggest calling such...