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Lobachevskii Journal of Mathematics

Spatially Shaped Photons for Single-pixel Quantum Imaging

Сыч Денис Васильевич, Valentin Averchenko

Published Jun 1, 2024• 3 citations
Publisher

Abstract

Abstract Single-pixel imaging is a method for obtaining an image without multi-pixel sensors. In this method, an object of interest is illuminated by light that has specifically designed spatio-temporal shape, while a single-pixel detector measures the total amount of reflected or transmitted light. The key prerequisite of this method is the ability to create a given spatio-temporal light shape, which becomes especially challenging at the level of single photons. The current photon shaping procedures cannot be directly applied to single-pixel imaging due to the limited generation rate or the need for post-processing. In this work, we propose a highly efficient method for generating arbitrary single-photon shapes without post-selection. We exploit the heralded single-photon shaping approach, and study the effect of the modal properties of a single-photon detection on the characteristics of the heralded photon. We find that the use of multi-mode detection allows to increase the heralding probability of shaped photons proportionally to the number of detected modes while keeping the shape intact, which makes it highly desirable for single-pixel quantum imaging.

DOI
10.1134/s1995080224602820

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Abstract Traditional remote sensing applications are often based on pulsed laser illumination with a narrow linewidth and characteristic repetition rate, which are not conducive to covert operation. Whatever methods are employed for covert sensing, a key requirement is for the probe light to be indistinguishable from background illumination. We present a method to perform single-pixel imaging that suppresses the effect of background light and hence improves the signal-to-noise ratio by using correlated photon-pairs produced via spontaneous parametric down conversion. One of the photons in the pair is used to illuminate the object whilst the other acts as a temporal reference, allowing the signal photons to be distinguished from background noise. This heralding method shows how the noise regime is key to producing higher contrast images.
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Imaging systems play a crucial role in shaping understanding of our surroundings. Modern imaging systems enable the acquisition of images of objects at length-scales and resolutions previously deemed impossible. However, as the drive for better images and novel applications increases, several questions fundamental to our understanding of imaging are being raised. We are familiar with images containing many millions of photons, but how many photons does it take to form an image? In scenarios requiring covert imaging, or where high-light levels damage the sample being imaged, is it possible to image a sample with a very small number of very low-energy photons? This thesis will focus on answering these two questions. In order to answer these questions I developed a heralded quantum imaging system. The strong spatial correlations inherent between down-converted twin photons have been utilised in many quantum imaging techniques for the past 25 years. Thus far, standard quantum imaging techniques have relied on scanning a fibre detector across the field of view in order to measure the spatial information in the image. However, the scanning mechanism fundamentally limits the detection efficiency of the imaging system. Recent years have seen an increased interest in using the latest camera technology within quantum imaging systems. The advent of single-photon-sensitive cameras has opened up new possibilities within the quantum imaging field. It is now possible to obtain images of objects by detecting very low-light illumination across the full scene simultaneously. In the heralded quantum imaging system presented in this thesis, a combination of quantum mechanics and a high-sensitivity camera was employed to obtain high contrast images containing very few photons. This was the first such system built. Using the correlations between the twin photons generated by our down-conversion source, and our development of compressive sampling techniques to post-process the acquired data enabled the acquisition of an image containing an average of only 0.5 photons per pixel. This represents a significant reduction when compared with a conventional image that contains of order 105 photons per pixel. I also developed this imaging system to use twin photons at vastly different wave- lengths. The object was probed with low-energy infrared photons whilst the image was developed on a camera using the correlated visible photon. This disparity in energy between the two photons enabled the acquisition of images using only several thousand photons, corresponding to an energy deposition on the sample of only a few pJ.
We present a method of using a high-flux entangled photon-pair source to improve the signal-to-noise ratio of a single-pixel imaging system. Sensing with single-photon counting detectors will often suffer from measurement noise due to any background light levels. Using a single detector enables a high efficiency of detection and when paired with a variable transmission mask enables full images to be captured. The heralding photon from the source acts as a temporal reference, allowing the signal photons to be distinguished from background noise. This heralding method is key to understanding how quantum measurements can produce higher contrast images than their classical equivalent.
Traditional remote sensing applications are often based on pulsed laser illumination with a narrow linewidth and characteristic repetition rate, which are not conducive to covert operation. Whatever methods are employed for covert sensing, a key requirement is for the probe light to be indistinguishable from background illumination. We present a method to perform single-pixel imaging that suppresses the effect of background light and hence improves the signal-to-noise ratio by using correlated photon-pairs produced via spontaneous parametric down conversion. One of the photons in the pair is used to illuminate the object whilst the other acts as a temporal reference, allowing the signal photons to be distinguished from background noise. Understanding the noise regime is key to producing higher contrast images using this heralding method.
Abstract A typical imaging scenario requires three basic ingredients: (1) a light source that emits light, which in turn interacts and scatters off the object of interest; (2) detection of the light being scattered from the object and (3) a detector with spatial resolution. These indispensable ingredients in typical imaging scenarios may limit their applicability in the imaging of biological or other sensitive specimens due to unavailable photon-starved detection capabilities and inevitable damage induced by interaction. Here, we propose and experimentally realize a quantum imaging protocol that alleviates all three requirements. By embedding a single-photon Michelson interferometer into a nonlinear interferometer based on induced coherence and harnessing single-pixel imaging technique, we demonstrate interaction-free, single-pixel quantum imaging of a structured object with undetected photons. Thereby, we push the capability of quantum imaging to the extreme point in which no interaction is required between object and photons and the detection requirement is greatly reduced. Our work paves the path for applications in characterizing delicate samples with single-pixel imaging at silicon-detectable wavelengths.