Wigner distribution of twisted photons
Mohammad Mirhosseini, Omar Maga\~na-Loaiza, Changchen Chen, Seyed, Mohammad Hashemi Rafsanjani, and Robert W. Boyd

TL;DR
This paper introduces an experimental method to fully characterize the azimuthal Wigner distribution of photons, enabling efficient analysis of high-dimensional orbital angular momentum states for quantum information.
Contribution
It presents the first experimental protocol for measuring the azimuthal Wigner distribution of photons, scalable to large dimensions, and applicable to quantum information processing.
Findings
Successfully characterized pure superpositions and incoherent mixtures of OAM modes.
Measurement time scales linearly with the dimension size, enabling high-dimensional state analysis.
Demonstrated the protocol's suitability for quantum information applications.
Abstract
We present the first experimental characterization of the azimuthal Wigner distribution of a photon. Our protocol fully characterizes the transverse structure of a photon in conjugate bases of orbital angular momentum (OAM) and azimuthal angle (ANG). We provide a test of our protocol by characterizing pure superpositions and incoherent mixtures of OAM modes in a seven-dimensional space. The time required for performing measurements in our scheme scales only linearly with the dimension size of the state under investigation. This time scaling makes our technique suitable for quantum information applications involving a large number of OAM states.
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