ℓ00ℓ entanglement and the twisted quantum eraser

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

doi:10.1116/5.0167938

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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Abstract

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 language	English
Article number	045004
Journal	AVS Quantum Science
Volume	5
Issue number	4
Early online date	7 Nov 2023
DOIs	https://doi.org/10.1116/5.0167938
Publication status	Published - 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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title = "ℓ00ℓ entanglement and the twisted quantum eraser",

abstract = "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{\textquoteright}s funny bone.",

author = "Dylan Danese and Sabine Wollmann and Saroch Leedumrongwatthanakun and Will McCutcheon and Manuel Erhard and Plick, {William N.} and Mehul Malik",

note = "Funding Information: We would like to express our gratitude to Suraj Goel, Dr. Natalia Herrera Valencia, and Vatshal Srivastav for lending their expertise and valuable time to discuss the implementation of this project. This work was made possible by financial support from the UK Engineering and Physical Sciences Research Council (EPSRC) (No. EP/P024114/1), the European Research Council (ERC) Starting grant PIQUaNT (No. 950402), and the Royal Academy of Engineering under the Chair in Emerging Technologies Programme (No. CiET-2223-112). S.W. acknowledges funding from the European Union's Horizon 2020 research and innovation program under the Marie Sk{\l}odowska-Curie Grant Agreement No. 89224. Publisher Copyright: {\textcopyright} 2023 Author(s).",

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AU - Danese, Dylan

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AU - Erhard, Manuel

AU - Plick, William N.

AU - Malik, Mehul

N1 - Funding Information: We would like to express our gratitude to Suraj Goel, Dr. Natalia Herrera Valencia, and Vatshal Srivastav for lending their expertise and valuable time to discuss the implementation of this project. This work was made possible by financial support from the UK Engineering and Physical Sciences Research Council (EPSRC) (No. EP/P024114/1), the European Research Council (ERC) Starting grant PIQUaNT (No. 950402), and the Royal Academy of Engineering under the Chair in Emerging Technologies Programme (No. CiET-2223-112). S.W. acknowledges funding from the European Union's Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement No. 89224. Publisher Copyright: © 2023 Author(s).

PY - 2023/12

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N2 - 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.

AB - 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.

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ℓ00ℓ entanglement and the twisted quantum eraser

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