An effective method of investigation of positive maps on the set of positive definite operators

摘要: Abstract Let A 1 be the algebra of linear operators on n-dimensional Hilbert space H 1, and let 2 m-dimensional 2. L ( 2) denote complex maps from to By a positive map we mean an element (superoperator with respect 1) which definite in into The aim this paper is present effective method allows verify whether given superoperator Λ∈ map. Besides that necessary sufficient conditions for definiteness even-degree forms many variables are given.