Connecting measurement invasiveness to optimal metrological scenarios
The connection between the Leggett-Garg inequality and optimal scenarios from the point of view of quantum metrology is investigated for perfect and noisy general dichotomic measurements. In this context, we show that the Fisher information can be expressed in terms of quantum temporal correlations....
| Main Authors: | , , , , , |
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| Format: | Article |
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American Physical Society
2017
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| Online Access: | https://eprints.nottingham.ac.uk/44201/ |
| _version_ | 1848796861236772864 |
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| author | Moreira, Saulo V. Adesso, Gerardo Correa, Luis A. Coudreau, Thomas Keller, Arne Milman, Pérola |
| author_facet | Moreira, Saulo V. Adesso, Gerardo Correa, Luis A. Coudreau, Thomas Keller, Arne Milman, Pérola |
| author_sort | Moreira, Saulo V. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | The connection between the Leggett-Garg inequality and optimal scenarios from the point of view of quantum metrology is investigated for perfect and noisy general dichotomic measurements. In this context, we show that the Fisher information can be expressed in terms of quantum temporal correlations. This connection allows us to associate scenarios with relatively high Fisher information to scenarios in which the Leggett-Garg inequality is violated. We thus demonstrate a qualitative and, to some extent, quantitative link between measurement invasiveness and metrological performance. Finally, we illustrate our results by using a specific model for spin systems. |
| first_indexed | 2025-11-14T19:54:42Z |
| format | Article |
| id | nottingham-44201 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:54:42Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-442012020-05-04T18:55:19Z https://eprints.nottingham.ac.uk/44201/ Connecting measurement invasiveness to optimal metrological scenarios Moreira, Saulo V. Adesso, Gerardo Correa, Luis A. Coudreau, Thomas Keller, Arne Milman, Pérola The connection between the Leggett-Garg inequality and optimal scenarios from the point of view of quantum metrology is investigated for perfect and noisy general dichotomic measurements. In this context, we show that the Fisher information can be expressed in terms of quantum temporal correlations. This connection allows us to associate scenarios with relatively high Fisher information to scenarios in which the Leggett-Garg inequality is violated. We thus demonstrate a qualitative and, to some extent, quantitative link between measurement invasiveness and metrological performance. Finally, we illustrate our results by using a specific model for spin systems. American Physical Society 2017-07-12 Article PeerReviewed Moreira, Saulo V., Adesso, Gerardo, Correa, Luis A., Coudreau, Thomas, Keller, Arne and Milman, Pérola (2017) Connecting measurement invasiveness to optimal metrological scenarios. Physical Review A, 96 (1). 012110/1-012110/6. ISSN 1094-1622 Quantum foundations Quantum measurements Quantum metrology https://doi.org/10.1103/PhysRevA.96.012110 doi:10.1103/PhysRevA.96.012110 doi:10.1103/PhysRevA.96.012110 |
| spellingShingle | Quantum foundations Quantum measurements Quantum metrology Moreira, Saulo V. Adesso, Gerardo Correa, Luis A. Coudreau, Thomas Keller, Arne Milman, Pérola Connecting measurement invasiveness to optimal metrological scenarios |
| title | Connecting measurement invasiveness to optimal metrological scenarios |
| title_full | Connecting measurement invasiveness to optimal metrological scenarios |
| title_fullStr | Connecting measurement invasiveness to optimal metrological scenarios |
| title_full_unstemmed | Connecting measurement invasiveness to optimal metrological scenarios |
| title_short | Connecting measurement invasiveness to optimal metrological scenarios |
| title_sort | connecting measurement invasiveness to optimal metrological scenarios |
| topic | Quantum foundations Quantum measurements Quantum metrology |
| url | https://eprints.nottingham.ac.uk/44201/ https://eprints.nottingham.ac.uk/44201/ https://eprints.nottingham.ac.uk/44201/ |