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

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

Authors

Rozhin Yousefjani

Rosanna Nichols

Shahriar Salimi



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), 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 http://eprints.nottingham.ac.uk/id/eprint/43505
Publisher URL https://journals.aps.org/pra/abstract/10.1103/PhysRevA.95.062307
Copyright Statement Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf
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.

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Copyright Statement
Copyright information regarding this work can be found at the following address: http://eprints.nottingham.ac.uk/end_user_agreement.pdf





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