Resolution limit in quantum imaging with undetected photons using position correlations

Abstract

Quantum imaging with undetected photons (QIUP) is a unique method of image acquisition where the photons illuminating the object are not detected. This method relies on quantum interference and spatial correlations between the twin photons to form an image. Here we present a detailed study of the resolution limits of position correlation enabled QIUP. We establish a quantitative relation between the spatial resolution and the twin photon position correlation in the spontaneous parametric down-conversion process (SPDC). Furthermore, we also quantitatively establish the roles that the wavelength of the undetected illumination field and the wavelength of the detected field play in the resolution. Like ghost imaging and unlike conventional imaging, the resolution limit imposed by the spatial correlation between twin photons in QIUP cannot be further improved by conventional optical techniques.

11 pages, 4 figures, Added two more references to ghost imaging in the "Introduction"

References in corpus (3)

• Experimental realization of sub-shot-noise quantum imaging
• Propagation of transverse intensity correlations of a two-photon state
• Quantifying the Momentum Correlation between Two Light Beams by Detecting One

Cited by in corpus (6)

• Quantum imaging and metrology with undetected photons: a tutorial
• Mid-Infrared Microscopy via Position Correlations of Undetected Photons
• Quantum Induced Coherence Light Detection and Ranging
• Experimental quantum imaging distillation with undetected light
• Fundamental resolution limit of quantum imaging with undetected photons
• The surprising persistence of time-dependent quantum entanglement