ℓ00ℓ entanglement and the twisted quantum eraser

Dylan Danese, Sabine Wollmann, Saroch Leedumrongwatthanakun, Will McCutcheon, Manuel Erhard, William N. Plick, Mehul Malik

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We demonstrate the generation of unbalanced two-photon entanglement in the Laguerre–Gaussian (LG) transverse-spatial degree-of freedom, where one photon carries a fundamental (Gauss) mode and the other a higher-order LG mode with a non-zero azimuthal (ℓ) or radial (p) component. Taking a cue from the N00N state nomenclature, we call these types of states ℓ00ℓ-entangled. They are generated by shifting one photon in the LG modes pace and combining it with a second (initially uncorrelated) photon at a beamsplitter, followed by coincidence detection. In order to verify two-photon coherence, we demonstrate a two-photon “twisted” quantum eraser, where Hong–Ou–Mandel interference is recovered between two distinguishable photons by projecting them into a rotated LG superposition basis. Using an entanglement witness, we find that our generated states have fidelities of 95.31% and 89.80% to the irrespective ideal maximally entangled states. In addition to being of fundamental interest, this type of entanglement will likely have a significant impact on tickling the average quantum physicist’s funny bone.
Original languageEnglish
Article number045004
JournalAVS Quantum Science
Issue number4
Early online date7 Nov 2023
Publication statusPublished - Dec 2023

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Atomic and Molecular Physics, and Optics
  • Condensed Matter Physics
  • Computer Networks and Communications
  • Physical and Theoretical Chemistry
  • Computational Theory and Mathematics
  • Electrical and Electronic Engineering


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