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Quantum limits of localisation microscopy
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Bisketzi, Evangelia, Branford, Dominic and Datta, Animesh (2019) Quantum limits of localisation microscopy. New Journal of Physics, 21 (12). 123032. doi:10.1088/1367-2630/ab58a0 ISSN 1367-2630.
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Official URL: http://dx.doi.org/10.1088/1367-2630/ab58a0
Abstract
Localisation microscopy of multiple weak, incoherent point sources with possibly different intensities in one spatial dimension is equivalent to estimating the amplitudes of a classical mixture of coherent states of a simple harmonic oscillator. This enables us to bound the multi-parameter covariance matrix for an unbiased estimator for the locations in terms of the quantum Fisher information matrix, which we obtained analytically. In the regime of arbitrarily small separations we find it to be no more than rank two—implying that no more than two independent parameters can be estimated irrespective of the number of point sources. We use the eigenvalues of the classical and quantum Fisher information matrices to compare the performance of spatial-mode demultiplexing and direct imaging in localisation microscopy with respect to the quantum limits.
Item Type: | Journal Article | |||||||||||||||
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Subjects: | Q Science > QC Physics Q Science > QH Natural history |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Physics | |||||||||||||||
Library of Congress Subject Headings (LCSH): | Quantum theory, Fluorescence microscopy | |||||||||||||||
Journal or Publication Title: | New Journal of Physics | |||||||||||||||
Publisher: | IOP Publishing | |||||||||||||||
ISSN: | 1367-2630 | |||||||||||||||
Official Date: | 16 December 2019 | |||||||||||||||
Dates: |
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Volume: | 21 | |||||||||||||||
Number: | 12 | |||||||||||||||
Article Number: | 123032 | |||||||||||||||
DOI: | 10.1088/1367-2630/ab58a0 | |||||||||||||||
Status: | Peer Reviewed | |||||||||||||||
Publication Status: | Published | |||||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | |||||||||||||||
Date of first compliant deposit: | 19 February 2020 | |||||||||||||||
Date of first compliant Open Access: | 26 February 2020 | |||||||||||||||
RIOXX Funder/Project Grant: |
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