Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Noisy distributed sensing in the Bayesian regime   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 $\Delta$ 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 $\Delta$ 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.

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The categories of this paper are: physics
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The categories of this paper are: dg-ga
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The categories of this paper are: math
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The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: adap-org
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph