Arbitrary unitaries in orbital angular momentum of single photons

@article{Kysela2021ArbitraryUI,
  title={Arbitrary unitaries in orbital angular momentum of single photons},
  author={Jaroslav Kysela},
  journal={EPJ Quantum Technology},
  year={2021},
  volume={9},
  pages={1-21}
}
  • J. Kysela
  • Published 21 June 2021
  • Physics
  • EPJ Quantum Technology
A simple argument is presented that explicitly shows how to construct an arbitrary quantum gate acting on orbital angular momentum (OAM) of single photons. The scheme can be applied to implement subspace multiplexing, where a single high-dimensional OAM qudit represents effectively a stack of multiple independent lower-dimensional qudits. A special subclass of unitaries composed of single-photon controlled gates is studied in detail and notable examples of the general approach are discussed… 

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