Multipartite generalization of the Schmidt decomposition (Q2731807): Difference between revisions

The authors demonstrate the decomposition of pure states of an \(n\)-particle system, where the dimensions of the individual state spaces are finite but otherwise arbitrary. The constraints on the coordinates (with respect to a factorizable orthonormal basis) are that certain ones vanish and certain others are real. As an application, this is used to find the dimension of the generic local equivalence class. The relation of this composition to other proposed canonical forms is discussed.