Exploring the local orthogonality principle

Local orthogonality as a multipartite principle for quantum correlations.

In recent years, the use of information principles to understand quantum correlations has been very successful. Unfortunately, all principles considered so far have a bipartite formulation, but intrinsically multipartite principles, yet to be discovered, are necessary for reproducing quantum correlations. Here we introduce local orthogonality, an intrinsically multipartite principle stating tha...

A Weak–type Orthogonality Principle

We are interested in the relationships between three different concepts, first and foremost is that of the phase space, by which we generally mean the Euclidean space formed from the cross product of the spatial variable with the dual frequency variable. Next, we want to associate subsets of that space with functions, the subset describing the location of the function in natural ways. And final...

Global Orthogonality Implies Local Almost-orthogonality

We introduce a new stopping-time argument, adapted to handle linear sums of noncompactly-supported functions that satisfy fairly weak decay, smoothness, and cancellation conditions. We use the argument to obtain a new Littlewood-Paley-type result for such sums. 0. Introduction. First, an apology. The title, though correct, is somewhat misleading. It should be “Global almostorthogonality implies...

Enhancing Fuzzy Controllers Using Generalized Orthogonality Principle

Application of orthogonality principle to Endochronic and Mróz models

A new description of Endochronic and Mróz model is discussed. It is based on the definition of a suitable pseudo-potential and the use of generalized normality assumption. The key-point of this formulation is the dependence of the pseudopotentials on state variables.