Optical quantum super-resolution imaging and hypothesis testing
- URL: http://arxiv.org/abs/2202.09406v1
- Date: Fri, 18 Feb 2022 19:53:58 GMT
- Title: Optical quantum super-resolution imaging and hypothesis testing
- Authors: Ugo Zanforlin, Cosmo Lupo, Peter W. R. Connolly, Pieter Kok, Gerald S.
Buller and Zixin Huang
- Abstract summary: We experimentally demonstrate two tasks for superresolution imaging based on quantum state discrimination and quantum imaging techniques.
We show that one can significantly reduce the probability of error for detecting the presence of a weak secondary source.
By using a collection baseline of 5.3mm, we resolve the angular separation of two sources that are placed 15$mu$m apart at a distance of 1.0m with an accuracy of $1.7%$--this is between 2 to 3 orders of magnitudes more accurate than shot-noise limited direct imaging.
- Score: 1.2595315177149635
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Estimating the angular separation between two incoherent thermal sources is a
challenging task for direct imaging, especially when it is smaller than or
comparable to the Rayleigh length. In addition, the task of discriminating
whether there are one or two sources followed by detecting the faint emission
of a secondary source in the proximity of a much brighter one is in itself a
severe challenge for direct imaging. Here, we experimentally demonstrate two
tasks for superresolution imaging based on quantum state discrimination and
quantum imaging techniques. We show that one can significantly reduce the
probability of error for detecting the presence of a weak secondary source,
especially when the two sources have small angular separations. In this work,
we reduce the experimental complexity down to a single two-mode interferometer:
we show that (1) this simple set-up is sufficient for the state discrimination
task, and (2) if the two sources are of equal brightness, then this measurement
can super-resolve their angular separation, saturating the quantum Cram\'er-Rao
bound. By using a collection baseline of 5.3~mm, we resolve the angular
separation of two sources that are placed 15~$\mu$m apart at a distance of
1.0~m with an accuracy of $1.7\%$--this is between 2 to 3 orders of magnitudes
more accurate than shot-noise limited direct imaging.
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