10-1103-PhysRevA-94-062312.pdf (201.33 kB)
Local versus global strategies in multi-parameter estimation
Version 2 2023-06-12, 08:34
Version 1 2023-06-09, 04:07
journal contribution
posted on 2023-06-12, 08:34 authored by P A Knott, T J Proctor, A J Hayes, J F Ralph, P Kok, Jacob DunninghamJacob DunninghamWe consider the problem of estimating multiple phases using a multi-mode interferometer. In this setting we show that while global strategies that estimate all the phases simultaneously can lead to high precision gains, the same enhancements can be obtained with local strategies where each phase is estimated individually. A key resource for the enhancement is shown to be a large particle-number variance in the probe state, and for states where the total particle number is not fixed, this can be obtained for mode-separable states and the phases can be read out with local measurements. This has important practical implications because local strategies are generally preferred to global ones for their robustness to local estimation failure, flexibility in the distribution of resources, and comparatively easier state preparation. We obtain our results by analyzing two different schemes: the first uses a set of interferometers, which can be used as a model for a network of quantum sensors, and the second looks at measuring a number of phases relative to a reference, which is concerned primarily with quantum imaging.
Funding
UK Quantum Technology Hub: NQIT-Networked Quantum Information Technologies; G1503; EPSRC-ENGINEERING & PHYSICAL SCIENCES RESEARCH COUNCIL; EP/M013243/1
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- Published
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- Published version
Journal
Physical Review AISSN
1050-2947Publisher
American Physical SocietyExternal DOI
Issue
6Volume
94Article number
a2312Department affiliated with
- Physics and Astronomy Publications
Research groups affiliated with
- Atomic, Molecular and Optical Physics Research Group Publications
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- Yes
Peer reviewed?
- Yes
Legacy Posted Date
2016-11-22First Open Access (FOA) Date
2016-11-22First Compliant Deposit (FCD) Date
2016-11-22Usage metrics
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