5 We consider the problem of constructing quantum operations or channels, if they exist, that 6 transform a given set of quantum states {ρ1, . . . , ρk} to another such set {ρ̂1, . . . , ρ̂k}. In other 7 words, we must find a completely positive linear map, if it exists, that maps a given set of density 8 matrices to another given set of density matrices. This problem, in turn, is an instance of ...

different methods arising from scientific investigation for removing noise from chaotic signals have been introduced and one of their best is local projection approach. the local projection approach projects the chaotic data in the neighborhood onto the hyper-plane. selection of neighborhood radius has a direct impact on its performance. a noticeable feature associated with chaotic trajectories...