Estimation of classical parameters via continuous probing of complementary quantum observables
We discuss how continuous probing of a quantum system allows estimation of unknown classical parameters embodied in the Hamiltonian of the system. We generalize the stochastic master equation associated with continuous observation processes to a Bayesian filter equation for the probability distribut...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2013-01-01
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| Series: | New Journal of Physics |
| Online Access: | https://doi.org/10.1088/1367-2630/15/12/125002 |
| _version_ | 1797751627431542784 |
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| author | A Negretti K Mølmer |
| author_facet | A Negretti K Mølmer |
| author_sort | A Negretti |
| collection | DOAJ |
| description | We discuss how continuous probing of a quantum system allows estimation of unknown classical parameters embodied in the Hamiltonian of the system. We generalize the stochastic master equation associated with continuous observation processes to a Bayesian filter equation for the probability distribution of the desired parameters, and we illustrate its application by estimating the direction of a magnetic field. In our example, the field causes a ground state spin precession in a two-level atom which is detected by the polarization rotation of off-resonant optical probes, interacting with the atomic spin components. |
| first_indexed | 2024-03-12T16:52:16Z |
| format | Article |
| id | doaj.art-11a8602979a24a72a8312f87d6d53e0b |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:52:16Z |
| publishDate | 2013-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-11a8602979a24a72a8312f87d6d53e0b2023-08-08T11:07:15ZengIOP PublishingNew Journal of Physics1367-26302013-01-01151212500210.1088/1367-2630/15/12/125002Estimation of classical parameters via continuous probing of complementary quantum observablesA Negretti0K Mølmer1Institut für Quanteninformationsverarbeitung, Universität Ulm , Albert-Einstein-Allee 11, D-89069 Ulm, Germany; Zentrum für Optische Quantentechnologien, Universität Hamburg , and The Hamburg Centre for Ultrafast Imaging, Luruper Chaussee 149, D-22761 Hamburg, GermanyDepartment of Physics and Astronomy, University of Aarhus , DK-8000 Aarhus C, DenmarkWe discuss how continuous probing of a quantum system allows estimation of unknown classical parameters embodied in the Hamiltonian of the system. We generalize the stochastic master equation associated with continuous observation processes to a Bayesian filter equation for the probability distribution of the desired parameters, and we illustrate its application by estimating the direction of a magnetic field. In our example, the field causes a ground state spin precession in a two-level atom which is detected by the polarization rotation of off-resonant optical probes, interacting with the atomic spin components.https://doi.org/10.1088/1367-2630/15/12/125002 |
| spellingShingle | A Negretti K Mølmer Estimation of classical parameters via continuous probing of complementary quantum observables New Journal of Physics |
| title | Estimation of classical parameters via continuous probing of complementary quantum observables |
| title_full | Estimation of classical parameters via continuous probing of complementary quantum observables |
| title_fullStr | Estimation of classical parameters via continuous probing of complementary quantum observables |
| title_full_unstemmed | Estimation of classical parameters via continuous probing of complementary quantum observables |
| title_short | Estimation of classical parameters via continuous probing of complementary quantum observables |
| title_sort | estimation of classical parameters via continuous probing of complementary quantum observables |
| url | https://doi.org/10.1088/1367-2630/15/12/125002 |
| work_keys_str_mv | AT anegretti estimationofclassicalparametersviacontinuousprobingofcomplementaryquantumobservables AT kmølmer estimationofclassicalparametersviacontinuousprobingofcomplementaryquantumobservables |