Heralded amplification of nonlocality via entanglement swapping

To observe the loophole-free violation of the Clauser–Horne–Shimony–Holt (CHSH) inequality between distant two parties, i.e. the CHSH value $S\gt 2$ , the main limitation of distance stems from the loss in the transmission channel. The entanglement swapping relay (ESR) is a simple way to amplify the...

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Main Authors: Yoshiaki Tsujimoto, Chenglong You, Kentaro Wakui, Mikio Fujiwara, Kazuhiro Hayasaka, Shigehito Miki, Hirotaka Terai, Masahide Sasaki, Jonathan P Dowling, Masahiro Takeoka
Format: Article
Language:English
Published: IOP Publishing 2020-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/ab61da
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author Yoshiaki Tsujimoto
Chenglong You
Kentaro Wakui
Mikio Fujiwara
Kazuhiro Hayasaka
Shigehito Miki
Hirotaka Terai
Masahide Sasaki
Jonathan P Dowling
Masahiro Takeoka
author_facet Yoshiaki Tsujimoto
Chenglong You
Kentaro Wakui
Mikio Fujiwara
Kazuhiro Hayasaka
Shigehito Miki
Hirotaka Terai
Masahide Sasaki
Jonathan P Dowling
Masahiro Takeoka
author_sort Yoshiaki Tsujimoto
collection DOAJ
description To observe the loophole-free violation of the Clauser–Horne–Shimony–Holt (CHSH) inequality between distant two parties, i.e. the CHSH value $S\gt 2$ , the main limitation of distance stems from the loss in the transmission channel. The entanglement swapping relay (ESR) is a simple way to amplify the signal and enables us to evade the impact of the transmission loss. Here, we experimentally test the heralded nonlocality amplifier protocol based on the ESR. We observe that the obtained probability distribution is in excellent agreement with those expected by the numerical simulation with experimental parameters which are precisely characterized in a separate measurement. Moreover, we experimentally estimate the nonlocality of the heralded state after the transmission of 10 dB loss just before final detection. The estimated CHSH value is $S=2.113\gt 2$ , which indicates that our final state possesses nonlocality even with transmission loss and various experimental imperfections. Our result clarifies an important benchmark of the ESR protocol, and paves the way towards the long-distance realization of the loophole-free CHSH-violation as well as device-independent quantum key distribution.
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spelling doaj.art-490983cd2cb2493fa9aceffc932b914b2023-08-08T15:29:26ZengIOP PublishingNew Journal of Physics1367-26302020-01-0122202300810.1088/1367-2630/ab61daHeralded amplification of nonlocality via entanglement swappingYoshiaki Tsujimoto0https://orcid.org/0000-0002-7877-3797Chenglong You1https://orcid.org/0000-0002-1383-0551Kentaro Wakui2Mikio Fujiwara3Kazuhiro Hayasaka4Shigehito Miki5Hirotaka Terai6Masahide Sasaki7https://orcid.org/0000-0002-9508-570XJonathan P Dowling8Masahiro Takeoka9Advanced ICT Research Institute, National Institute of Information and Communications Technology (NICT), Koganei, Tokyo 184-8795, JapanAdvanced ICT Research Institute, National Institute of Information and Communications Technology (NICT), Koganei, Tokyo 184-8795, Japan; Hearne Institute for Theoretical Physics and Department of Physics & Astronomy, Louisiana State University , Baton Rouge, LA 70803, United States of AmericaAdvanced ICT Research Institute, National Institute of Information and Communications Technology (NICT), Koganei, Tokyo 184-8795, JapanAdvanced ICT Research Institute, National Institute of Information and Communications Technology (NICT), Koganei, Tokyo 184-8795, JapanAdvanced ICT Research Institute, National Institute of Information and Communications Technology (NICT), Koganei, Tokyo 184-8795, JapanAdvanced ICT Research Institute, National Institute of Information and Communications Technology (NICT), Kobe, Hyogo 651-2492, JapanAdvanced ICT Research Institute, National Institute of Information and Communications Technology (NICT), Kobe, Hyogo 651-2492, JapanAdvanced ICT Research Institute, National Institute of Information and Communications Technology (NICT), Koganei, Tokyo 184-8795, JapanAdvanced ICT Research Institute, National Institute of Information and Communications Technology (NICT), Koganei, Tokyo 184-8795, Japan; Hearne Institute for Theoretical Physics and Department of Physics & Astronomy, Louisiana State University , Baton Rouge, LA 70803, United States of AmericaAdvanced ICT Research Institute, National Institute of Information and Communications Technology (NICT), Koganei, Tokyo 184-8795, JapanTo observe the loophole-free violation of the Clauser–Horne–Shimony–Holt (CHSH) inequality between distant two parties, i.e. the CHSH value $S\gt 2$ , the main limitation of distance stems from the loss in the transmission channel. The entanglement swapping relay (ESR) is a simple way to amplify the signal and enables us to evade the impact of the transmission loss. Here, we experimentally test the heralded nonlocality amplifier protocol based on the ESR. We observe that the obtained probability distribution is in excellent agreement with those expected by the numerical simulation with experimental parameters which are precisely characterized in a separate measurement. Moreover, we experimentally estimate the nonlocality of the heralded state after the transmission of 10 dB loss just before final detection. The estimated CHSH value is $S=2.113\gt 2$ , which indicates that our final state possesses nonlocality even with transmission loss and various experimental imperfections. Our result clarifies an important benchmark of the ESR protocol, and paves the way towards the long-distance realization of the loophole-free CHSH-violation as well as device-independent quantum key distribution.https://doi.org/10.1088/1367-2630/ab61daBell inequalitynonlocality amplificationspontaneous parametric down conversionentanglement swapping
spellingShingle Yoshiaki Tsujimoto
Chenglong You
Kentaro Wakui
Mikio Fujiwara
Kazuhiro Hayasaka
Shigehito Miki
Hirotaka Terai
Masahide Sasaki
Jonathan P Dowling
Masahiro Takeoka
Heralded amplification of nonlocality via entanglement swapping
New Journal of Physics
Bell inequality
nonlocality amplification
spontaneous parametric down conversion
entanglement swapping
title Heralded amplification of nonlocality via entanglement swapping
title_full Heralded amplification of nonlocality via entanglement swapping
title_fullStr Heralded amplification of nonlocality via entanglement swapping
title_full_unstemmed Heralded amplification of nonlocality via entanglement swapping
title_short Heralded amplification of nonlocality via entanglement swapping
title_sort heralded amplification of nonlocality via entanglement swapping
topic Bell inequality
nonlocality amplification
spontaneous parametric down conversion
entanglement swapping
url https://doi.org/10.1088/1367-2630/ab61da
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