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Photoniques

Encoding and decoding images in quantum optical correlations

Chloé Vernière, Baptiste Courme, Hugo Defienne

Published Jan 1, 2025• 1 citation
Publisher

Abstract

Quantum correlations, such as those existing between photons produced by spontaneous parametric down-conversion (SPDC), are ubiquitous in quantum photonic technologies. To develop applications, they must be precisely tailored and efficiently measured, which is often challenging in practice. This article presents an image encoding-decoding method based on the quantum correlations of photon pairs, highlighting recent advances in detecting and controlling these correlations for imaging and sensing applications.

DOI
10.1051/photon/202513142

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Quantum correlations, such as those existing between photons produced by spontaneous parametric down-conversion (SPDC), are ubiquitous in quantum photonic technologies. To develop applications, they must be precisely tailored and efficiently measured, which is often challenging in practice. This article presents an image encoding-decoding method based on the quantum correlations of photon pairs, highlighting recent advances in detecting and controlling these correlations for imaging and sensing applications.
Photon-pair correlations in spontaneous parametric down conversion are ubiquitous in quantum photonics. The ability to engineer their properties for optimising a specific task is essential, but often challenging in practice. We demonstrate the shaping of spatial correlations between entangled photons in the form of arbitrary amplitude and phase objects. By doing this, we encode image information within the pair correlations, making it undetectable by conventional intensity measurements. It enables the transmission of complex, high-dimensional information using quantum correlations of photons, which can be useful for developing quantum communication and imaging protocols.
Photon-pair correlations in spontaneous parametric down-conversion are ubiquitous in quantum photonics. The ability to engineer their properties for optimizing a specific task is essential, but often challenging in practice. We demonstrate the shaping of spatial correlations between entangled photons in the form of arbitrary amplitude and phase objects. By doing this, we encode image information within the pair correlations, making it undetectable by conventional intensity measurements. It enables the transmission of complex, high-dimensional information using quantum correlations of photons, which can be useful for developing quantum communication and imaging protocols.
Photon-pair correlations in spontaneous parametric down conversion (SPDC) processes are ubiquitous in quantum photonics. In this work, we engineer these correlations by imaging arbitrarily chosen objects in the second order correlations of spatially-entangled photon pairs produced by type-I SPDC in a non-linear crystal. Our approach is effective with both amplitude and phase objects, even when the beam intensity is spatially shaped. Additionally, we show that it is resistant to scattering by applying wavefront shaping techniques. We also find that certain phase patterns can refocus through the scattering medium exclusively with photon pairs, and not with classical coherent light. Consequently, the transmission of an image through the scattering medium is only possible if it is correlation encoded; coherent light alone cannot reconstruct the image. Our approach enables the transmission of complex, high-dimensional information using quantum correlations of photons, offering significant potential for advancing quantum communication and imaging protocols.
High-dimensional photonic entangled states are key resources for advancing quantum imaging, quantum sensing, secure communication, and quantum computation. The most common method for generating such states is spontaneous parametric down-conversion (SPDC), in which a pump photon splits into two daughter photons that share correlations across multiple photonic degrees of freedom. Characterising these high-dimensional states, however, is highly challenging, as it scales quadratically with the state dimensionality and usually requires large sets of projective measurements within the framework of positive operator-valued measures (POVMs).
Quantum imaging leverages nonclassical correlations to reveal features that may vanish in conventional event integration [ 1, 2]. While single-photon detectors are well-established, quantum imaging demands complex data acquisition across many thousands of detectors, each generating rich metadata including triggering time, duration, and other properties. Consequently, effective data management, data wrangling, and correlation extraction become critical challenges. In this work, we investigate optimal handling of spatial correlations from a quantum-photonic source (spontaneous parametric down-conversion, SPDC) using an emerging single-photon event-based camera, the TPX3CAM (256×256 array, supported by an intensifier). Utilizing a femtosecond photon-pair source, we comprehensively analyse noise characteristics, including temporal dynamics and spatial distribution, to develop advanced spatio-temporal noise suppression strategies tailored to camera performance. Our primary objectives include real-time isolation and preprocessing of correlative data. Our analysis demonstrates the potential of these real-time correlation detection and noise reduction algorithms to expand quantum imaging capabilities across diverse scientific domains. Potential applications include high-resolution spectroscopy in biology, materials science, and advanced electron microscopy, where these techniques could enable identification of cascaded two-photon processes with atomic-scale precision. Figure 1 shows an excellent example of such a detection in real-space. The ring feature corresponds to the location of the correlated photon-pairs produced from the SPDC process. This is also apparent in figure 2, where we see a strong anti-correlation between the coordinates of the detected photons – corresponding to photon-pairs. <!-- named anchor --> Figure 1: Distribution of SPDC photons on TPX3CAM <!-- named anchor --> Figure 2: Spatial anti-correlation of x-coordinates
Quantum imaging encompasses a broad range of methods that exploit the quantum properties of light to capture information about an object. One such approach involves using a two-photon quantum state, where only one photon interacts with the object being imaged while its entangled partner carries spatial or temporal information. To implement this technique, it is necessary to generate specific quantum states of light and detect photons at the single-photon level. While this method has been successfully demonstrated in the visible electromagnetic spectrum, extending it to X-rays has faced significant challenges due to the difficulties in producing a sufficient rate of X-ray photon pairs and detecting them with adequate resolution. Here, we demonstrate record high rates of correlated X-ray photon pairs produced via a spontaneous parametric down-conversion process and we employ these photons to perform quantum correlation imaging of several objects, including a biological sample (E. cardamomum seedpod). Notably, we report an unprecedented detection rate of about 6,300 pairs per hour and the observation of energy anti-correlation for the X-ray photon pairs. We also present a detailed analysis of the properties of the down-converted X-ray photons, as well as a comprehensive study of the correlation imaging formation, including a study of distortions and corrections. These results mark a substantial advancement in X-ray quantum imaging, expanding the possibilities of X-ray quantum optical technologies, and illustrating the pathway towards enhancing biological imaging with reduced radiation doses.