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Author  |
Gessner, M.; Smerzi, A. | ||||
| Title | Hierarchies of Frequentist Bounds for Quantum Metrology: From Cramer-Rao to Barankin | Type | Journal Article | ||
| Year | 2023 | Publication | Physical Review Letters | Abbreviated Journal | Phys. Rev. Lett. |
| Volume | 130 | Issue | 26 | Pages | 260801 - 6pp |
| Keywords | |||||
| Abstract | We derive lower bounds on the variance of estimators in quantum metrology by choosing test observables that define constraints on the unbiasedness of the estimator. The quantum bounds are obtained by analytical optimization over all possible quantum measurements and estimators that satisfy the given constraints. We obtain hierarchies of increasingly tight bounds that include the quantum Cramer-Rao bound at the lowest order. In the opposite limit, the quantum Barankin bound is the variance of the locally best unbiased estimator in quantum metrology. Our results reveal generalizations of the quantum Fisher information that are able to avoid regularity conditions and identify threshold behavior in quantum measurements with mixed states, caused by finite data. | ||||
| Address | [Gessner, Manuel] Univ Valencia, Dept Fis Teor, IFIC, CSIC, Carrer Dr Moliner 50, Valencia 46100, Spain, Email: manuel.gessner@uv.es; | ||||
| Corporate Author | Thesis | ||||
| Publisher | Amer Physical Soc | Place of Publication | Editor | ||
| Language | English | Summary Language | Original Title | ||
| Series Editor | Series Title | Abbreviated Series Title | |||
| Series Volume | Series Issue | Edition | |||
| ISSN | 0031-9007 | ISBN | Medium | ||
| Area | Expedition | Conference | |||
| Notes | WOS:001140164100003 | Approved | no | ||
| Is ISI | yes | International Collaboration | yes | ||
| Call Number | IFIC @ pastor @ | Serial | 5902 | ||
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