Multi-parameter estimation in networked quantum sensors

Proctor, Timothy J, Knott, Paul and Dunningham, Jacob (2018) Multi-parameter estimation in networked quantum sensors. Physical Review Letters, 120 (8). ISSN 0031-9007

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Abstract

We introduce a general model for a network of quantum sensors, and we use this model to consider the question: When can entanglement between the sensors, and/or global measurements, enhance the precision with which the network can measure a set of unknown parameters? We rigorously answer this question by presenting precise theorems proving that for a broad class of problems there is, at most, a very limited intrinsic advantage to using entangled states or global measurements. Moreover, for many estimation problems separable states and local measurements are optimal, and can achieve the ultimate quantum limit on the estimation uncertainty. This immediately implies that there are broad conditions under which simultaneous estimation of multiple parameters cannot outperform individual, independent estimations. Our results apply to any situation in which spatially localized sensors are unitarily encoded with independent parameters, such as when estimating multiple linear or non-linear optical phase shifts in quantum imaging, or when mapping out the spatial profile of an unknown magnetic field. We conclude by showing that entangling the sensors can enhance the estimation precision when the parameters of interest are global properties of the entire network.

Item Type: Article
Schools and Departments: School of Mathematical and Physical Sciences > Physics and Astronomy
Research Centres and Groups: Sussex Centre for Quantum Technologies
Subjects: Q Science > QC Physics
Q Science > QC Physics > QC0170 Atomic physics. Constitution and properties of matter Including molecular physics, relativity, quantum theory, and solid state physics
Depositing User: Jacob Dunningham
Date Deposited: 12 Dec 2017 12:07
Last Modified: 27 Feb 2018 11:54
URI: http://sro.sussex.ac.uk/id/eprint/72007

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Project NameSussex Project NumberFunderFunder Ref
UK Quantum Technology Hub: NQIT-Networked Quantum Information TechnologiesG1503EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCILEP/M013243/1