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Abstract Holography is an essential technique of generating three-dimensional images. Recently, quantum holography with undetected photons (QHUP) has emerged as a groundbreaking method capable of capturing complex amplitude images. Despite its potential, the practical application of QHUP has been limited by susceptibility to phase disturbances, low interference visibility, and limited spatial resolution. Deep learning, recognized for its ability in processing complex data, holds significant promise in addressing these challenges. In this report, we present an ample advancement in QHUP achieved by harnessing the power of deep learning to extract images from single-shot holograms, resulting in vastly reduced noise and distortion, alongside a notable enhancement in spatial resolution. The proposed and demonstrated deep learning QHUP (DL-QHUP) methodology offers a transformative solution by delivering high-speed imaging, improved spatial resolution, and superior noise resilience, making it suitable for diverse applications across an array of research fields stretching from biomedical imaging to remote sensing. DL-QHUP signifies a crucial leap forward in the realm of holography, demonstrating its immense potential to revolutionize imaging capabilities and pave the way for advancements in various scientific disciplines. The integration of DL-QHUP promises to unlock new possibilities in imaging applications, transcending existing limitations and offering unparalleled performance in challenging environments.

Abstract Entangled photons with time-energy correlations are predicted to have improved sensitivity compared with classical light in two-photon fluorescence, which is promising for lowering the phototoxicity in biomedical imaging. While the mechanism has been demonstrated in atoms and crystals, the effectiveness in biological molecules has been under debate. Here we report the experimental results, including both positive and negative ones, in various samples. While entanglement induced enhancement in the sum frequency generation of a nonlinear crystal was confirmed, we observe no such enhancement in the two-photon nonlinear process of various molecules. However, we observed classical two-photon fluorescence excited by nW light in rare earth element doped core-shell structure nano-crystals, which can also be used in sensitive biomedical imaging. Our results provide guidance in characterizing the effect of entanglement in two-photon processes.

Atoms moving through standing-wave lasers accumulate Zak phases, which have spectroscopic signatures, enabling room-temperature geometric phase reconstruction in momentum-space superradiance lattices.