Intrinsic metrological resolution as a distance measure and nonclassical light
We elaborate on a Hilbert-Schmidt distance measure assessing the intrinsic metrological accuracy in the detection of signals imprinted on quantum probe states by signal-dependent transformations. For small signals this leads to a probe-transformation measure Lambda fully symmetric on the probe rho a...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/51486 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/51486 |
| Access Level: | acceso abierto |
| Palabra clave: | 535 Hilbert-schmidt distance Quantum states Entanglement measures Projection noise Classicality Limit Óptica (Física) 2209.19 Óptica Física |
| Sumario: | We elaborate on a Hilbert-Schmidt distance measure assessing the intrinsic metrological accuracy in the detection of signals imprinted on quantum probe states by signal-dependent transformations. For small signals this leads to a probe-transformation measure Lambda fully symmetric on the probe rho and the generator G of the transformation Λ(ρ,G)= Λ(G,ρ). Although Λ can be regarded as a generalization of variance, we show that no uncertainty relation holds for the product of measures corresponding to complementary generators. We show that all states with resolution larger than coherent states are nonclassical. We apply this formalism to feasible probes and transformations. |
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