Noisy distributed sensing in the Bayesian regime. (30th June 2020)

• Record Type: Journal Article
• Authors: Wölk, S; Sekatski, P; Dür, W
• Is Part Of: Quantum science and technology. Volume 5:Number 4(2020)
• Publication Date: 2020-06-30
• Subjects: quantum metrology -- quantum sensor network -- Bayesian regime; Quantum theory -- Periodicals; Quantum theory; Periodicals; 530
• DOI: 10.1088/2058-9565/ab9ba5
• Languages: English
• ISSNs: 2058-9565

Abstract

Abstract: We consider non-local sensing of scalar signals with specific spatial dependence in the Bayesian regime. We design schemes that allow one to achieve optimal scaling and are immune to noise sources with a different spatial dependence than the signal. This is achieved by using a sensor array of spatially separated sensors and constructing a multi-dimensional decoherence free subspace. While in the Fisher regime with sharp prior and multiple measurements only the spectral range Δ is important, in single-shot sensing with broad prior the number of available energy levels L is crucial. We study the influence of L and Δ also in intermediate scenarios, and show that these quantities can be optimized separately in our setting. This provides us with a flexible scheme that can be adapted to different situations, and is by construction insensitive to given noise sources.