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EPJ Web of Conferences

Ghost Images with Four-Mode Entangled States

Aleksandr V. Belinsky, P. P. Gostev, A. S. Chirkin

Published Jan 1, 2015• 0 citations
Publisher

Abstract

We demonstrate that the use of multimode entangled states of light fields can restore multiple ghost images of the object illuminated by radiation of one of the modes. The analysis, performed on the example of four-mode entangled light fields, is able to obtain three copies of ghost images.
DOI
10.1051/epjconf/201510303005

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It has been shown that multimode (multifrequency) entangled quantum states of light fields make it possible to simultaneously reconstruct several ghost images of an object from the measurement of the spatial correlation function between photons of the object channel and reconstruction channels, where radiation of a single frequency propagates. The detection of radiation in the object channel does not give information on the object. Calculations have been performed for four-frequency entangled quantum light fields.
When observing a ghost image, information on an object is obtained by measuring the spatial correlation between photons propagating in the object and reconstruction channels. In the traditional schemes involving two-mode entangled quantum states or quasithermal light sources, the correlation function of photons has a background associated with the average number of photons in the channels. It has been shown in this work that the use of polarization-entangled states, e.g., Bell states, allows removing this background and, thereby, obtaining a higher quality reconstructed image.
Ghost imaging can be implemented with illumination light with pronounced quantum characters. In this work, we address the inverse problem of ghost imaging, i.e., the tomography of the quantum states of illumination light based on ghost imaging. We showcase the characterization of multimode Gaussian state light represented by its covariance matrix. With the information of spatial modes, we reconstruct the quantum states of light using the variation of SNR of the ghost images formed by the input light under a given set of optical operations. We demonstrate that ghost imaging can also be used to characterize the non-Gaussian light by its deviation from Gaussian states, which can serve as a criterion for the non-Gaussianity of the input light. The spatial resolving power of the proposed method can be advantageous for quantum information applications involving structured light, such as multiplexing with spatial modes.
Ghost imaging allows extracting information about an object from the spatial correlation function between the photons that interacted with an object and the photons in the reference arm(s). The reference beam does not interact with the object; however, it is measured by a CCD matrix. The mathematical method of measurement reduction allows using both the mutual correlations of multiplexed ghost images and prior information about how the image of the research object can look in order to improve the quality of the reconstructed image. The information about the object is the sparsity of its transparency distribution under a given transform. Computer modelling of image reconstruction using multiplexed ghost images formed by four-mode entangled quantum light states confirms the efficiency of the proposed algorithm even with a small number of photons that illuminate the research object.
In this work, pairs of entangled photons are aimed at two spatially separated detectors: the path to one detector contains a physical object, while the path to the second detector does not. Yet, the second detector can be used to create an image of the object, even though none of the photons arriving at that detector have ever interacted with the object! This “ghost” imaging takes advantage of information that is shared between entangled photon pairs. This work aims to explore the underlying principles in a ghost imaging system that utilizes spontaneous parametric down-conversion (SPDC) as the source of entangled photons, with the larger goal of understanding the principles and operation of key parts of the system.