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Quantum Physics, quant-ph
Abstract:
Optical imaging methods are typically restricted to a resolution of order of
the probing light wavelength $\lambda_p$ by the Rayleigh diffraction limit.
This limit can be circumvented by making use of multiphoton detection of
correlated $N$-photon states, having an effective wavelength $\lambda_p/N$. But
the required $N$-photon detection usually renders these schemes impractical. To
overcome this limitation, recently, so-called optical centroid measurements
(OCM) have been proposed which replace the multi-photon detectors by an array
of single-photon detectors. Complementary to the existing approximate
analytical results, we explore the approach using numerical experiments by
sampling and analyzing detection events from the initial state wave function.
This allows us to quantitatively study the approach also beyond the constraints
set by the approximate analytical treatment, to compare different detection
strategies, and to analyze other classes of input states.
