Characterization of symmetric monotone metrics on the state space of quantum systems
| dc.creator | Hansen, Frank | |
| dc.date | 2006-01-26 | |
| dc.date | 2006-03-29 | |
| dc.date.accessioned | 2026-07-07T06:58:24Z | |
| dc.date.available | 2026-07-07T06:58:24Z | |
| dc.description | The quantum Fisher information is a Riemannian metric, defined on the state space of a quantum system, which is symmetric and decreasing under stochastic mappings. Contrary to the classical case such a metric is not unique. We complete the characterization, initiated by Morozova, Chentsov and Petz, of these metrics by providing a closed and tractable formula for the set of Morozova-Chentsov functions. In addition, we provide a continuously increasing bridge between the smallest and largest symmetric monotone metrics. | |
| dc.description | Minor revision with new title and abstract as suggested by a referee | |
| dc.identifier | https://arxiv.org/abs/math-ph/0601056 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0601056 | |
| dc.identifier | Quantum Information and Computation 6 (2006) 597-605 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/107346 | |
| dc.subject | Mathematical Physics | |
| dc.title | Characterization of symmetric monotone metrics on the state space of quantum systems | |
| dc.type | text |