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Physical Review A

Coherence and dimensionality witnesses for fractional orbital angular momentum modes

André L. S. Santos, I. Prego, M. Gil de Oliveira, Altilano Cristino Barbosa, B. Pinheiro da Silva, Daniel J. Brod, Ernesto F. Galvão, Antonio Zelaquett Khoury

Published Mar 19, 2026• 0 citations
Publisher
DOI
10.1103/v17y-w1lm

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We characterize sets of fractional orbital angular momentum (OAM) modes of a light beam using unitary-invariant properties encoded by two-mode overlaps. Using basis-independent coherence and dimension witnesses, we experimentally certify, on a triple of fractional modes, both the presence of coherence and that the states necessarily span a space of dimension 3. We propose and implement a practical, fast experimental method to extract two-mode overlaps requiring only a single intensity image per interference pair. These results lay the groundwork for using fractional OAM states in high-dimensional quantum information protocols.