Quantum-invariant processes in phase space
We show the formal equivalence between the phase-space representations of transformations and quantum states. We study invariant quantum input-output transformations in phase space and in Hilbert space. We show that all invariant processes are linear transformations while the converse is not true. S...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/51513 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/51513 |
| Access Level: | acceso abierto |
| Palabra clave: | 535 Wigner distribution function Noncommuting operators Density-matrix Quasiprobability distributions Macroscopic superpositions Probability-distributions State representation Mechanics Dynamics Light Óptica (Física) 2209.19 Óptica Física |
| Sumario: | We show the formal equivalence between the phase-space representations of transformations and quantum states. We study invariant quantum input-output transformations in phase space and in Hilbert space. We show that all invariant processes are linear transformations while the converse is not true. Some relevant examples of application of these ideas are examined. |
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