A geometric perspective: experimental evaluation of the quantum Cramer-Rao bound
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2022
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| _version_ | 1866929352658124800 |
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| author | Li, Changhao Chen, Mo Cappellaro, Paola |
| author_facet | Li, Changhao Chen, Mo Cappellaro, Paola |
| contents | The power of quantum sensing rests on its ultimate precision limit, quantified by the quantum Cramer-Rao bound (QCRB), which can surpass classical bounds. In multi-parameter estimation, the QCRB is not always saturated as the quantum nature of associated observables may lead to their incompatibility. Here we explore the precision limits of multi-parameter estimation through the lens of quantum geometry, enabling us to experimentally evaluate the QCRB via quantum geometry measurements. Focusing on two- and three-parameter estimation, we elucidate how fundamental quantum uncertainty principles prevent the saturation of the bound. By linking a metric of "quantumness" to the system geometric properties, we investigate and experimentally extract the attainable QCRB for three-parameter estimations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2204_13777 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | A geometric perspective: experimental evaluation of the quantum Cramer-Rao bound Li, Changhao Chen, Mo Cappellaro, Paola Quantum Physics Applied Physics The power of quantum sensing rests on its ultimate precision limit, quantified by the quantum Cramer-Rao bound (QCRB), which can surpass classical bounds. In multi-parameter estimation, the QCRB is not always saturated as the quantum nature of associated observables may lead to their incompatibility. Here we explore the precision limits of multi-parameter estimation through the lens of quantum geometry, enabling us to experimentally evaluate the QCRB via quantum geometry measurements. Focusing on two- and three-parameter estimation, we elucidate how fundamental quantum uncertainty principles prevent the saturation of the bound. By linking a metric of "quantumness" to the system geometric properties, we investigate and experimentally extract the attainable QCRB for three-parameter estimations. |
| title | A geometric perspective: experimental evaluation of the quantum Cramer-Rao bound |
| topic | Quantum Physics Applied Physics |
| url | https://arxiv.org/abs/2204.13777 |