Full-field mapping of spatially varying polarization entanglement generated from spontaneous parametric down-conversion

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Hauptverfasser: Li, Cheng, Kulkarni, Girish, Soward, Isaac, Zhang, Yingwen, Upham, Jeremy, England, Duncan, Nomerotski, Andrei, Karimi, Ebrahim, Boyd, Robert
Format: Preprint
Veröffentlicht: 2025
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author Li, Cheng
Kulkarni, Girish
Soward, Isaac
Zhang, Yingwen
Upham, Jeremy
England, Duncan
Nomerotski, Andrei
Karimi, Ebrahim
Boyd, Robert
author_facet Li, Cheng
Kulkarni, Girish
Soward, Isaac
Zhang, Yingwen
Upham, Jeremy
England, Duncan
Nomerotski, Andrei
Karimi, Ebrahim
Boyd, Robert
contents Two-photon states generated from spontaneous parametric down-conversion (SPDC) can display entanglement in all degrees of freedom (DoFs) of light, including spatial, temporal, and polarization. The coupling between different DoFs of a two-photon state has been shown to display rich structures that enable novel and robust information processing schemes. While existing literature has studied these couplings by post-selecting the SPDC field, a comprehensive understanding of the inherent spatial-polarization coupling produced in the SPDC process is still lacking. This work produces a full spatial map of the polarization entanglement generated across the entire SPDC field. We observe an entire class of near-maximally polarization-entangled states with an average concurrence of $0.8303\pm0.0004$, which, together with a certified spatial dimensionality of 148, could potentially offer access to a 251-dimensional hyperentanglement. The spatial-polarization coupling manifests as radially or linearly varying polarization-entangled states, whose wavefunctions are dependent on the transverse momenta of the down-converted photons and the pump beam, respectively. Our study lays important groundwork for further exploiting the coupling between entanglement in different DoFs for future quantum technologies.
format Preprint
id arxiv_https___arxiv_org_abs_2502_03586
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Full-field mapping of spatially varying polarization entanglement generated from spontaneous parametric down-conversion
Li, Cheng
Kulkarni, Girish
Soward, Isaac
Zhang, Yingwen
Upham, Jeremy
England, Duncan
Nomerotski, Andrei
Karimi, Ebrahim
Boyd, Robert
Quantum Physics
Optics
Two-photon states generated from spontaneous parametric down-conversion (SPDC) can display entanglement in all degrees of freedom (DoFs) of light, including spatial, temporal, and polarization. The coupling between different DoFs of a two-photon state has been shown to display rich structures that enable novel and robust information processing schemes. While existing literature has studied these couplings by post-selecting the SPDC field, a comprehensive understanding of the inherent spatial-polarization coupling produced in the SPDC process is still lacking. This work produces a full spatial map of the polarization entanglement generated across the entire SPDC field. We observe an entire class of near-maximally polarization-entangled states with an average concurrence of $0.8303\pm0.0004$, which, together with a certified spatial dimensionality of 148, could potentially offer access to a 251-dimensional hyperentanglement. The spatial-polarization coupling manifests as radially or linearly varying polarization-entangled states, whose wavefunctions are dependent on the transverse momenta of the down-converted photons and the pump beam, respectively. Our study lays important groundwork for further exploiting the coupling between entanglement in different DoFs for future quantum technologies.
title Full-field mapping of spatially varying polarization entanglement generated from spontaneous parametric down-conversion
topic Quantum Physics
Optics
url https://arxiv.org/abs/2502.03586