Dimensions of generic local orbits of multipartite quantum systems
| dc.creator | Djokovic, Dragomir Z. | |
| dc.date | 2006-08-15 | |
| dc.date | 2007-01-01 | |
| dc.date.accessioned | 2026-07-07T07:37:47Z | |
| dc.date.available | 2026-07-07T07:37:47Z | |
| dc.description | We consider the action of the group of local unitary transformations, U(m) x U(n), on the set of (mixed) states W of the bipartite m x n quantum system. We prove that the generic U(m) x U(n)--orbits in W have dimension m^2+n^2-2. This problem was mentioned (and left open) by Kus and Zyczkowski in their paper Geometry of entangled states. The proof can be extended to the case of arbitrary finite-dimensional multipartite quantum systems. | |
| dc.description | 5 pages. The spelling of author's name corrected | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0608124 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0608124 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120892 | |
| dc.subject | Quantum Physics | |
| dc.title | Dimensions of generic local orbits of multipartite quantum systems | |
| dc.type | text |