Connecting measurement invasiveness to optimal metrological scenarios

Moreira, Saulo V.; Adesso, Gerardo; Correa, Luis A.; Coudreau, Thomas; Keller, Arne; Milman, P�rola

Abstract

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.

Citation

Moreira, S. V., Adesso, G., Correa, L. A., Coudreau, T., Keller, A., & Milman, P. (2017). Connecting measurement invasiveness to optimal metrological scenarios. Physical Review A, 96(1), Article 012110. https://doi.org/10.1103/PhysRevA.96.012110

• Journal Article Type: Article
• Acceptance Date: Jun 15, 2017
• Publication Date: Jul 12, 2017
• Deposit Date: Jul 14, 2017
• Publicly Available Date: Jul 14, 2017
• Journal: Physical Review A
• Print ISSN: 2469-9926
• Electronic ISSN: 2469-9934
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 96
• Issue: 1
• Article Number: 012110
• DOI: https://doi.org/10.1103/PhysRevA.96.012110
• Keywords: Quantum foundations, Quantum measurements, Quantum metrology
• Public URL: https://nottingham-repository.worktribe.com/output/872532
• Publisher URL: https://doi.org/10.1103/PhysRevA.96.012110
• Additional Information: ©2017 American Physical Society
• Contract Date: Jul 14, 2017