PR Applied: Characterizing and tailoring multimode SPDC

(a) The process of spontaneous parametric down-conversion (SPDC) generates a two-photon wavefunction entangled in transverse position-momentum (b) We show how to measure this wavefunction efficiently and use it to tailor high-dimensional entangled states.

We are pleased to announce the publication of ‘Characterizing and Tailoring Spatial Correlations in Multimode Parametric Down-Conversion’ in Physical Review Applied. In this article, we have developed a detailed theoretical model for the quantum state of two photons entangled in their transverse position and momentum. Our model incorporates the systems used for generating entanglement and measuring it, both of which play a significant role in what the final two-photon entangled state looks like. We introduce and demonstrate a simple and efficient method to quickly characterise the two-photon joint-transverse-momentum amplitude (JTMA) using scanned phase-only holograms. We use knowledge of the JTMA to precisely tailor discrete, high-dimensional entangled states of light in the Laguerre-Gaussian (LG) and Pixel bases. We expect our work to have wide-ranging applications in experiments on multi-mode SPDC, as well as for entanglement-based quantum technologies for communication, imaging, and computation.

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