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...

The Lorentz n–group is the group of “isometries” (transformations preserving the inner product) of Minkowski space, fixing 0, and preserving the time direction. This implies that a Lorentz transformation is an linear isomorphism of Rn as a vector space. If, in addition to preserving the time direction, we also preserve space orientation then the group can be denoted SO(1, n − 1). Notice that a ...

Given a pattern p of size m and text t, the problem order-preserving matching (OPPM) is to find all substrings t that satisfy one orderings defined by p. This has applications on time series analysis. However given its strict nature this model unable deal with indetermination, thus limiting application noisy series. In paper we introduce indeterminate characters alleviate limitation. We then pr...