Hayes, Anthony J, Dooley, Shane, Munro, William J, Nemoto, Kae and Dunningham, Jacob (2018) Making the most of time in quantum metrology: concurrent state preparation and sensing. Quantum Science and Technology, 3 (3). 035007 1 -13. ISSN 2058-9565

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Abstract

A quantum metrology protocol for parameter estimation is typically comprised of three stages: probe state preparation, sensing and then readout, where the time required for the first and last stages is usually neglected. In the present work we consider non-negligible state preparation and readout times, and the tradeoffs in sensitivity that come when a limited time resource T must be divided between the three stages. To investigate this, we focus on the problem of magnetic field sensing with spins in one-axis twisted or two-axis twisted states. We find that (accounting for the time necessary to prepare a twisted state) no advantage is gained unless the time T is sufficiently long or the twisting sufficiently strong. However, we also find that the limited time resource is used more effectively if we allow the twisting and the magnetic field to be applied concurrently, which possibly represents a more realistic sensing scenario. We extend this result into an optical setting by utilizing the exact correspondence between a spin system and a bosonic field mode as given by the Holstein-Primakoff transformation.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Physics and Astronomy
Subjects:	Q Science > QC Physics
Depositing User:	Billy Wichaidit
Date Deposited:	15 May 2018 14:50
Last Modified:	27 Apr 2023 14:26
URI:	http://sro.sussex.ac.uk/id/eprint/75851

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