# Quantum noise radar: superresolution with quantum antennas by accessing spatiotemporal correlations

## TL;DR

This paper demonstrates that quantum antennas with spatiotemporal correlations can achieve superresolution imaging, overcoming classical limits like the Rayleigh catastrophe, by utilizing second-order correlation functions for enhanced spatial resolution.

## Contribution

It introduces a quantum antenna-based imaging method that leverages spatiotemporal correlations to attain superresolution beyond classical limits.

## Key findings

- Fisher information remains finite for distant scatterers when measuring second-order correlations.
- Measurement of time-delayed correlations improves position estimation accuracy.
- Superresolution is achievable for both near-field imaging and antenna parameter estimation.

## Abstract

We suggest overcoming the "Rayleigh catastrophe" and reaching superresolution for imaging with both spatially and temporally-correlated field of a superradiant quantum antenna. Considering far-field radiation of two interacting spontaneously emitting two-level systems, we show that for the measurement of the temporally-delayed second-order correlation function of the scattered field, the Fisher information does not tend to zero with diminishing the distance between a pair of scatterers even for non-sharp time-averaged detection. For position estimation of a larger number of scatterers, measurement of the time-delayed function is able to provide a considerable accuracy gain over the zero-delayed function. We show also that the superresolution with the considered quantum antenna can be achieved for both near-field imaging and estimating parameters of the antenna.