Position Correlation Enabled Quantum Imaging with Undetected Photons

TL;DR

This paper explores a new approach to quantum imaging with undetected photons by utilizing position correlation instead of the traditional momentum correlation, revealing distinct image properties.

Contribution

It introduces a general theory for position correlation-enabled quantum imaging and compares it to the momentum correlation approach, highlighting their differences.

Findings

Position correlation can enable quantum imaging with undetected photons.

Images obtained via position correlation have distinct properties from those using momentum correlation.

Theoretical framework clarifies the fundamental differences between the two correlation-based imaging methods.

Abstract

Quantum imaging with undetected photons (QIUP) is a unique imaging technique that does not require the detection of the light used for illuminating the object. The technique requires a correlated pair of photons. In the existing implementations of QIUP, the imaging is enabled by the momentum correlation between the twin photons. We investigate the complementary scenario in which the imaging is instead enabled by the position correlation between the two photons. We present a general theory and show that the properties of the images obtained in these two cases are significantly distinct.