Bayesian multiparameter quantum metrology with limited data

Rubio, Jesus and Dunningham, Jacob (2020) Bayesian multiparameter quantum metrology with limited data. Physical Review A: Atomic, Molecular and Optical Physics, 101 (3). a032114. ISSN 1050-2947

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Abstract

A longstanding problem in quantum metrology is how to extract as much information as possible in realistic scenarios with not only multiple unknown parameters, but also limited measurement data and some degree of prior information. Here we present a practical solution to this: We derive a Bayesian multi-parameter quantum bound, construct the optimal measurement when our bound can be saturated for a single shot, and consider experiments involving a repeated sequence of these measurements. Our method properly accounts for the number of measurements and the degree of prior information, and we illustrate our ideas with a qubit sensing network and a model for phase imaging, clarifying the nonasymptotic role of local and global schemes. Crucially, our technique is a powerful way of implementing quantum protocols in a wide range of practical scenarios that tools such as the Helstrom and Holevo Cramér-Rao bounds cannot normally access.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
SWORD Depositor: Mx Elements Account
Depositing User: Mx Elements Account
Date Deposited: 17 Feb 2020 09:28
Last Modified: 23 Apr 2020 13:45
URI: http://sro.sussex.ac.uk/id/eprint/89934

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