Estimating phase with a random generator: strategies and resources in multiparameter quantum metrology

Yousefjani, Rozhin; Nichols, Rosanna; Salimi, Shahriar; Adesso, Gerardo

Abstract

Quantum metrology aims to exploit quantum phenomena to overcome classical limitations in the estimation of relevant parameters. We consider a probe undergoing a phase shift φ whose generator is randomly sampled according to a distribution with unknown concentration κ, which introduces a physical source of noise. We then investigate strategies for the joint estimation of the two parameters φ and κ given a finite number N of interactions with the phase imprinting channel. We consider both single qubit and multipartite entangled probes, and identify regions of the parameters where simultaneous estimation is advantageous, resulting in up to a twofold reduction in resources. Quantum enhanced precision is achievable at moderate N, while for sufficiently large N classical strategies take over and the precision follows the standard quantum limit. We show that full-scale entanglement is not needed to reach such an enhancement, as efficient strategies using significantly fewer qubits in a scheme interpolating between the conventional sequential and parallel metrological schemes yield the same effective performance. These results may have relevant applications in optimization of sensing technologies.

Citation

Yousefjani, R., Nichols, R., Salimi, S., & Adesso, G. (in press). Estimating phase with a random generator: strategies and resources in multiparameter quantum metrology. Physical Review A, 95(6), Article 062307. https://doi.org/10.1103/PhysRevA.95.062307

• Journal Article Type: Article
• Acceptance Date: May 16, 2017
• Online Publication Date: Jun 5, 2017
• Deposit Date: Jun 12, 2017
• Publicly Available Date: Jun 12, 2017
• Journal: Physical Review A
• Print ISSN: 2469-9926
• Electronic ISSN: 2469-9934
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 95
• Issue: 6
• Article Number: 062307
• DOI: https://doi.org/10.1103/PhysRevA.95.062307
• Public URL: https://nottingham-repository.worktribe.com/output/864478
• Publisher URL: https://journals.aps.org/pra/abstract/10.1103/PhysRevA.95.062307
• Additional Information: Estimating phase with a random generator: Strategies and resources in multiparameter quantum metrology,; Rozhin Yousefjani, Rosanna Nichols, Shahriar Salimi, and Gerardo Adesso, Phys. Rev. A 95, 062307.
• Contract Date: Jun 12, 2017