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Universal linear optical operations on discrete phase-coherent spatial modes with a fixed and non-cascaded setup

Universal linear optical operations on discrete phase-coherent spatial modes with a fixed and non-cascaded setup

Linear optical operations are fundamental and significant for both quantum mechanics and classical technologies. We demonstrate a non-cascaded approach to perform arbitrary unitary and non-unitary linear operations for N-dimensional phase-coherent spatial modes with meticulously designed phase gratings. As implemented on spatial light modulators (SLMs), the unitary transformation matrix has been …