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Complex Light and Optical Forces

Controlling quantum entanglement with structured light

Robert Fickler, Rafael F. Barros, Andre L. S. Santos Junior, Antonio Zelaquett Khoury

Published Mar 5, 2026• 0 citations
Publisher
DOI
10.1117/12.3086242

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We investigate the multipartite entanglement between spatial and spectral modes of an optical parametric oscillator pumped with a structured light field. When the pump beam is prepared in a second-order transverse mode, we show that the down-converted signal and idler fields are generated in a reconfigurable quadripartite entangled state of first-order modes. Our investigation is based both on separability criteria and a thorough analysis of the squeezing properties. Additionally, we demonstrate that large-scale entangled states can be produced and easily controlled by a pump field structured in both spatial and spectral domains. Our results pave the way for versatile cluster state engineering with structured light modes.
Structured light has become topical of late, where controlling light in all its degrees of freedom has offered novel states of light long predicted, enhanced functionality in applications, and a modern toolbox for probing fundamental science. Structuring light as single photons and entangled states allows the spatial modes of light to be used to encode a large alphabet, accessing high dimensional Hilbert spaces for fundamental tests of quantum mechanics and improved quantum information processing tasks. In this tutorial, we outline the basic concepts of high dimensional quantum states expressed in a basis of spatial modes (structured light) and explain how to create, control, and detect such quantum states in the laboratory with a focus on transverse spatial modes such as the orbital angular momentum and pixel (position) modes. Finally, we highlight some example applications of such quantum structured light, from communications to imaging.