Enhancing quantum entanglement by photon addition and subtraction

The non-Gaussian operations effected by adding or subtracting a photon on entangled optical beams emerging from a parametric down-conversion process have been suggested to enhance entanglement. Heralded photon addition or subtraction is, as a matter of fact, at the heart of continuous-variable entan...

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Main Authors: Navarrete-Benlloch, Carlos, Garcia-Patron Sanchez, Raul, Shapiro, Jeffrey H., Cerf, Nicolas J.
Other Authors: Massachusetts Institute of Technology. Research Laboratory of Electronics
Format: Article
Language:en_US
Published: American Physical Society 2012
Online Access:http://hdl.handle.net/1721.1/75023
https://orcid.org/0000-0002-6094-5861
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author Navarrete-Benlloch, Carlos
Garcia-Patron Sanchez, Raul
Shapiro, Jeffrey H.
Cerf, Nicolas J.
author2 Massachusetts Institute of Technology. Research Laboratory of Electronics
author_facet Massachusetts Institute of Technology. Research Laboratory of Electronics
Navarrete-Benlloch, Carlos
Garcia-Patron Sanchez, Raul
Shapiro, Jeffrey H.
Cerf, Nicolas J.
author_sort Navarrete-Benlloch, Carlos
collection MIT
description The non-Gaussian operations effected by adding or subtracting a photon on entangled optical beams emerging from a parametric down-conversion process have been suggested to enhance entanglement. Heralded photon addition or subtraction is, as a matter of fact, at the heart of continuous-variable entanglement distillation. The use of such processes has recently been experimentally demonstrated in the context of the generation of optical coherent-state superpositions or the verification of canonical commutation relations. Here, we carry out a systematic study of the effect of local photon additions and subtractions on a two-mode squeezed vacuum state, showing that the entanglement generally increases with the number of such operations. This is analytically proven when additions or subtractions are restricted to one mode only, while we observe that the highest entanglement is achieved when these operations are equally shared between the two modes. We also note that adding photons typically provides a stronger entanglement enhancement than subtracting photons, while photon subtraction performs better in terms of energy efficiency. Furthermore, we analyze the interplay between entanglement and non-Gaussianity, showing that it is more subtle than previously expected.
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spelling mit-1721.1/750232022-09-30T18:36:21Z Enhancing quantum entanglement by photon addition and subtraction Navarrete-Benlloch, Carlos Garcia-Patron Sanchez, Raul Shapiro, Jeffrey H. Cerf, Nicolas J. Massachusetts Institute of Technology. Research Laboratory of Electronics Navarrete-Benlloch, Carlos Garcia-Patron Sanchez, Raul Shapiro, Jeffrey H. Cerf, Nicolas J. The non-Gaussian operations effected by adding or subtracting a photon on entangled optical beams emerging from a parametric down-conversion process have been suggested to enhance entanglement. Heralded photon addition or subtraction is, as a matter of fact, at the heart of continuous-variable entanglement distillation. The use of such processes has recently been experimentally demonstrated in the context of the generation of optical coherent-state superpositions or the verification of canonical commutation relations. Here, we carry out a systematic study of the effect of local photon additions and subtractions on a two-mode squeezed vacuum state, showing that the entanglement generally increases with the number of such operations. This is analytically proven when additions or subtractions are restricted to one mode only, while we observe that the highest entanglement is achieved when these operations are equally shared between the two modes. We also note that adding photons typically provides a stronger entanglement enhancement than subtracting photons, while photon subtraction performs better in terms of energy efficiency. Furthermore, we analyze the interplay between entanglement and non-Gaussianity, showing that it is more subtle than previously expected. Spain. Ministerio de Ciencia e Innovación (MICINN). FPU Program W. M. Keck Foundation Center for Extreme Quantum Information Theory Alexander von Humboldt-Stiftung United States. Office of Naval Research. Basic Research Challenge Program European Union. European Regional Development Fund (Project FIS2008-06024-C03-01) European Commission. Project MALICIA (Grant 265522) 2012-11-26T19:23:42Z 2012-11-26T19:23:42Z 2012-07 2012-01 Article http://purl.org/eprint/type/JournalArticle 1050-2947 1094-1622 http://hdl.handle.net/1721.1/75023 Navarrete-Benlloch, Carlos et al. “Enhancing Quantum Entanglement by Photon Addition and Subtraction.” Physical Review A 86.1 (2012). ©2012 American Physical Society https://orcid.org/0000-0002-6094-5861 en_US http://dx.doi.org/10.1103/PhysRevA.86.012328 Physical Review A Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS
spellingShingle Navarrete-Benlloch, Carlos
Garcia-Patron Sanchez, Raul
Shapiro, Jeffrey H.
Cerf, Nicolas J.
Enhancing quantum entanglement by photon addition and subtraction
title Enhancing quantum entanglement by photon addition and subtraction
title_full Enhancing quantum entanglement by photon addition and subtraction
title_fullStr Enhancing quantum entanglement by photon addition and subtraction
title_full_unstemmed Enhancing quantum entanglement by photon addition and subtraction
title_short Enhancing quantum entanglement by photon addition and subtraction
title_sort enhancing quantum entanglement by photon addition and subtraction
url http://hdl.handle.net/1721.1/75023
https://orcid.org/0000-0002-6094-5861
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