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Optics Letters

Quantum ghost polarimetry with entangled photons

Sergey Magnitskiy, Dmitriy Agapov, Anatoly Chirkin

Published Dec 24, 2021• 31 citations
Publisher

Abstract

The theory of the formation of polarization ghost images in biphoton light of spontaneous parametric scattering is developed. On the basis of the developed theory, the quantum ghost polarimetry concept has been suggested, which makes it possible to obtain two-dimensional maps of the polarization properties of objects by measuring a set of correlation functions obtained in various polarization states of photons. For objects with linear dichroism, a complete set of measurement states is found, which allows for obtaining the maps of the distributions of absorption, value, and azimuth of anisotropy.

DOI
10.1364/ol.450206

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The theory of the formation of polarization ghost images in biphoton light of spontaneous parametric scattering is developed. On the basis of the developed theory, the quantum ghost polarimetry concept has been suggested, which makes it possible to obtain two-dimensional maps of the polarization properties of objects by measuring a set of correlation functions obtained in various polarization states of photons. For objects with linear dichroism, a complete set of measurement states is found, which allows for obtaining the maps of the distributions of absorption, value, and azimuth of anisotropy.
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.
We show how quantum entangled biphoton states can be used to realize ghost scattering, a nonlocal scheme to obtain scattering information of an unknown object through the correlation measurement of the scattering photons in two different optical paths. We present a framework to describe the biphoton ghost scattering process from the T-matrix formula of the scattering theory. We find the scattering information of a test object can be retrieved from either the test arm or the reference arm. By adjusting the biphoton states, the ghost scattering patterns may be varied from the scattering pattern of the object in the test arm to the object in the reference arm.
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.
We develop a concept of metasurface-assisted ghost imaging for nonlocal discrimination between a set of polarization objects. The specially designed metasurfaces are incorporated in the imaging system to perform parallel state transformations in general elliptical bases of quantum-entangled or classically correlated photons. Then, only four or fewer correlation measurements between multiple metasurface outputs and a simple polarization-insensitive bucket detector after the object can allow for the identification of fully or partially transparent polarization elements and their arbitrary orientation angles. The approach can find applications for real-time and low-light imaging across diverse spectral regions in dynamic environments.