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Liquid Crystals Optics and Photonic Devices

Harnessing OVMMs for quantum algorithms: an approach employing Gaussian modes

Mwezi Koni, Hadrian Bezuidenhout, Andrew Forbes, Isaac M. Nape

Published Jun 18, 2024• 0 citations
Publisher

Abstract

Optical Vector Matrix Multipliers (OVMMs) offer a promising avenue for accelerating computations due to their inherent parallelism. However, their integration with quantum algorithms remains unexplored. Here, we present the implementation of a quantum algorithm, the Deutsch-Josza algorithm, on an OVMM.
DOI
10.1117/12.3023040

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Optical computing harnesses the speed of light to perform vector-matrix operations efficiently. It leverages interference, a cornerstone of quantum computing algorithms, to enable parallel computations. In this work, we interweave quantum computing with classical structured light by formulating the process of photonic matrix multiplication using quantum mechanical principles such as state superposition and subsequently demonstrate a well-known algorithm, namely, Deutsch–Jozsa’s algorithm. This is accomplished by elucidating the inherent tensor product structure within the Cartesian transverse degrees of freedom of light, which is the main resource for optical vector-matrix multiplication. To this end, we establish a discrete basis using localized Gaussian modes arranged in a lattice formation and demonstrate the operation of a Hadamard gate. Leveraging the reprogrammable and digital capabilities of spatial light modulators, coupled with Fourier transforms by lenses, our approach proves adaptable to various algorithms. Therefore, our work advances the use of structured light for quantum information processing.
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