Purity-bounded uncertainty relations in multidimensional space -- generalized purity
| dc.creator | Karelin, Mikalai | |
| dc.date | 2004-11-09 | |
| dc.date | 2005-04-29 | |
| dc.date.accessioned | 2026-07-07T06:11:28Z | |
| dc.date.available | 2026-07-07T06:11:28Z | |
| dc.description | Uncertainty relations for mixed quantum states (precisely, purity-bounded position-momentum relations, developed by Bastiaans and then by Man'ko and Dodonov) are studied in general multi-dimensional case. An expression for family of mixed states at the lower bound of uncertainty relation is obtained. It is shown, that in case of entropy-bounded uncertainty relations, lower-bound state is thermal, and a transition from one-dimensional problem to multi-dimensional one is trivial. Results of numerical calculation of the relation lower bound for different types of generalized purity are presented. Analytical expressions for general purity-bounded relations for highly mixed states are obtained. | |
| dc.description | 12 pages, 2 figures. draft version, to appear in J. Phys. A Partially based on a poster "Multidimensional uncertainty relations for states with given generalized purity" presented on X Intl. Conf. on Quantum Optics'2004 (Minsk, Belarus, May 30 -- June 3, 2004) More actual report is to be presented on ICSSUR-2005, Besançon, France and on EQEC'05, Munich. V. 5: amended article after referees' remarks | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0411067 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0411067 | |
| dc.identifier | J. Phys. A: Math. Gen., vol. 38, pp. 6393-6403 (2005) | |
| dc.identifier | doi:10.1088/0305-4470/38/28/012 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/92494 | |
| dc.subject | Quantum Physics | |
| dc.title | Purity-bounded uncertainty relations in multidimensional space -- generalized purity | |
| dc.type | text |