Contradictions between different measures of quantum uncertainty
We show that variance and Shannon entropy provide contradictory conclusions for the uncertainty associated with the number operator for some families of states of harmonic oscillator systems with fixed mean number, and for the uncertainty of a spin component for states with and without fixed mean. W...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2012 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/44571 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/44571 |
| Access Level: | acceso abierto |
| Palabra clave: | 535 Entropic uncertainty Nonclassical states Phase measurement Heisenberg limit Coherent states Wigner function Optical-phase Complementary observables Information principle Óptica (Física) 2209.19 Óptica Física |
| Sumario: | We show that variance and Shannon entropy provide contradictory conclusions for the uncertainty associated with the number operator for some families of states of harmonic oscillator systems with fixed mean number, and for the uncertainty of a spin component for states with and without fixed mean. We analyze this behavior in terms of the properties of these uncertainty measures. We explore their impact on quantum metrology, examining the limits to resolution caused by number fluctuations in diverse scenarios of phase-shift detection. |
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