# Superresolution via Structured Illumination Quantum Correlation Microscopy (SIQCM)

## TL;DR

This paper introduces a novel superresolution microscopy technique combining structured illumination with quantum intensity correlation measurements, achieving theoretically unlimited resolution enhancement for imaging quantum emitters.

## Contribution

It develops a theoretical framework and simulations for SIQCM, integrating structured illumination and quantum correlations to surpass traditional resolution limits in microscopy.

## Key findings

- Resolution scales as m + √m with correlation order m.
- Simulations show significant superresolution gains.
- The method is promising for biological and quantum imaging.

## Abstract

We propose to use intensity correlation microscopy in combination with structured illumination to image quantum emitters that exhibit antibunching with a spatial resolution reaching far beyond the Rayleigh limit. Combining intensity measurements and intensity auto correlations up to order $m$ creates an effective PSF with FWHM shrunk by the factor $\sqrt{m}$. Structured Illumination microscopy on the other hand introduces a resolution improvement of factor 2 by use of the principle of moir\'e fringes. Here, we show that for linear low-intensity excitation and linear optical detection the simultaneous use of both techniques leads to an in theory unlimited resolution power with the improvement scaling favorably as $m + \sqrt{m}$ in dependence of the correlation order $m$. Hence, yielding this technique to be of interest in microscopy for imaging a variety of samples including biological ones. We present the underlying theory and simulations demonstrating the highly increased spatial superresolution, and point out requirements for an experimental implementation.