Geometry of positive operators and uhlmann's approach to the geometric phase
In Uhlmann's description of the differential geometry of the space Ω of density operators, a relevant role is played by the parallel condition w*w =w*w, where w is a lifting of acurve y in Ω, i.e. w(t)o(t)* = y(t) for all t. In this paper we get a principal bundle with a natural connection over...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2001 |
| País: | Argentina |
| Institución: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositorio: | CONICET Digital (CONICET) |
| Idioma: | inglés |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/110897 |
| Acceso en línea: | http://hdl.handle.net/11336/110897 |
| Access Level: | acceso abierto |
| Palabra clave: | DENSITY OPERATORS PARALLEL TRANSPORT https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Sumario: | In Uhlmann's description of the differential geometry of the space Ω of density operators, a relevant role is played by the parallel condition w*w =w*w, where w is a lifting of acurve y in Ω, i.e. w(t)o(t)* = y(t) for all t. In this paper we get a principal bundle with a natural connection over the space G + of all positive invertible elements of a C*-algebra such that the parallel transport is ruled by Uhlmann's parallel equation. |
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