Entangled-photon Fourier optics

Abstract

Entangled photons, generated by spontaneous parametric down-conversion from a second-order nonlinear crystal, present a rich potential for imaging and image-processing applications. Since this source is an example of a threewave mixing process, there is more flexibility in the choices of illumination and detection wavelengths and in the placement of object(s) to be imaged.Moreover, this source is entangled, a fact that allows for imaging configurations and capabilities that cannot be achieved using classical sources of light.In this paper we examine a number of imaging and image-processing configurations that can be realized using this source. The formalism that we utilize facilitates the determination of the dependence of imaging resolution on the physical parameters of the optical arrangement.

Two-particle four-point correlations in dynamically disordered tight-binding networks

“…Indeed, such effects can be expected since we are dealing with two particles [21]. An important aspect associated with Ψ p,q is that its modulus squared provides the two-point correlation function G (2) p,q (t) = |Ψ p,q (t)| 2 , which gives the probability of finding one particle at site p and the other at q [22][23][24][25][26][27].…”

Quantum imaging with undetected photons

“…T and depend on transverse position, and the photon counters are replaced with cameras. The signal and idler photon pairs are produced with sharp transverse spatial correlations 9,10 , and lenses image the object surface onto the camera 11,12 . The image associated with a non-constant transmittance is due to local which-source information carried by the undetected idler photons.…”

Quantum spiral bandwidth of entangled two-photon states

“…This allows, e.g., to define an effective finite Hilbert space where entanglement takes place. [28] Engineering such quantum spatial bandwidth should be a key tool to optimize multidimensional quantum information schemes, for example to increase the resolution of two-photon imaging using entangled photons (e.g., [29]) and to enhance the efficiency of relevant multidimensional quantum cryptography protocols (e.g., [30]). …”