Multipartite generalization of the Schmidt decomposition (Q2731807)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Multipartite generalization of the Schmidt decomposition |
scientific article; zbMATH DE number 1626613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multipartite generalization of the Schmidt decomposition |
scientific article; zbMATH DE number 1626613 |
Statements
Multipartite generalization of the Schmidt decomposition (English)
0 references
30 July 2001
0 references
multiparticle generalization
0 references
Schmidt decomposition
0 references
composite quantum systems
0 references
factorizable orthonormal basis
0 references
0.89858943
0 references
0.8634348
0 references
0.8592336
0 references
0.8586353
0 references
0.85811746
0 references
0.8576021
0 references
0.8572087
0 references
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.
0 references
