The Bloch-vector space for N-level systems -- the spherical-coordinate point of view
| dc.creator | Kimura, Gen | |
| dc.creator | Kossakowski, Andrzej | |
| dc.date | 2004-08-03 | |
| dc.date | 2005-03-24 | |
| dc.date.accessioned | 2026-07-07T06:19:44Z | |
| dc.date.available | 2026-07-07T06:19:44Z | |
| dc.description | Bloch-vector spaces for $N$-level systems are investigated from the spherical-coordinate point of view in order to understand their geometrical aspects. We show that the maximum radius in each direction, which is due to the construction of the Bloch-vector space, is determined by the minimum eigenvalue of the corresponding observable (orthogonal generator of SU(N)). From this fact, we reveal the dual property of the structure of the Bloch-vector space; if in some direction the space reachs the large sphere (pure state), then in the opposite direction the space can only get to the small sphere, and vice versa. Another application is a parameterization with simple ranges of density operators. We also provide three classes of quantum-state representation based on actual measurements beyond the Bloch vector and discuss their state-spaces. | |
| dc.description | REVTeX4, 25 pages, 3 EPS figures, Rewritten with improved explanation; references add | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0408014 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0408014 | |
| dc.identifier | Open Sys. Information Dyn. 12, 207 (2005). | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/95125 | |
| dc.subject | Quantum Physics | |
| dc.title | The Bloch-vector space for N-level systems -- the spherical-coordinate point of view | |
| dc.type | text |