Intrinsic sensitivity limits for multiparameter quantum metrology
The quantum Cramer-Rao bound is a cornerstone of modern quantum metrology, as it provides the ultimate precision in parameter estimation. In the multiparameter scenario, this bound becomes a matrix inequality, which can be cast to a scalar form with a properly chosen weight matrix. Multiparameter es...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/4477 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/4477 |
| Access Level: | acceso abierto |
| Palabra clave: | 535 Physics Multidisciplinary Óptica (Física) 2209.19 Óptica Física |
| Sumario: | The quantum Cramer-Rao bound is a cornerstone of modern quantum metrology, as it provides the ultimate precision in parameter estimation. In the multiparameter scenario, this bound becomes a matrix inequality, which can be cast to a scalar form with a properly chosen weight matrix. Multiparameter estimation thus elicits trade-offs in the precision with which each parameter can be estimated. We show that, if the information is encoded in a unitary transformation, we can naturally choose the weight matrix as the metric tensor linked to the geometry of the underlying algebra Su(n), with applications in numerous fields. This ensures an intrinsic bound that is independent of the choice of parametrization. |
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