Security of continuous-variable quantum key distribution: towards a de Finetti theorem for rotation symmetry in phase space

Proving the unconditional security of quantum key distribution (QKD) is a highly challenging task as one needs to determine the most efficient attack compatible with experimental data. This task is even more demanding for continuous-variable QKD as the Hilbert space where the protocol is described i...

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Detalhes bibliográficos
Principais autores: Leverrier, Anthony, Karpov, Evgueni, Grangier, P., Cerf, Nicolas J.
Outros Autores: Massachusetts Institute of Technology. Research Laboratory of Electronics
Formato: Artigo
Idioma:en_US
Publicado em: Institute of Physics Publishing 2012
Acesso em linha:http://hdl.handle.net/1721.1/70554
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author Leverrier, Anthony
Karpov, Evgueni
Grangier, P.
Cerf, Nicolas J.
author2 Massachusetts Institute of Technology. Research Laboratory of Electronics
author_facet Massachusetts Institute of Technology. Research Laboratory of Electronics
Leverrier, Anthony
Karpov, Evgueni
Grangier, P.
Cerf, Nicolas J.
author_sort Leverrier, Anthony
collection MIT
description Proving the unconditional security of quantum key distribution (QKD) is a highly challenging task as one needs to determine the most efficient attack compatible with experimental data. This task is even more demanding for continuous-variable QKD as the Hilbert space where the protocol is described is infinite dimensional. A possible strategy to address this problem is to make an extensive use of the symmetries of the protocol. In this paper, we investigate a rotation symmetry in phase space that is particularly relevant to continuous-variable QKD, and explore the way towards a new quantum de Finetti theorem that would exploit this symmetry and provide a powerful tool to assess the security of continuous-variable protocols. As a first step, a single-party asymptotic version of this quantum de Finetti theorem in phase space is derived.
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spelling mit-1721.1/705542022-09-30T13:38:40Z Security of continuous-variable quantum key distribution: towards a de Finetti theorem for rotation symmetry in phase space Leverrier, Anthony Karpov, Evgueni Grangier, P. Cerf, Nicolas J. Massachusetts Institute of Technology. Research Laboratory of Electronics Cerf, Nicolas J. Cerf, Nicolas J. Leverrier, Anthony Proving the unconditional security of quantum key distribution (QKD) is a highly challenging task as one needs to determine the most efficient attack compatible with experimental data. This task is even more demanding for continuous-variable QKD as the Hilbert space where the protocol is described is infinite dimensional. A possible strategy to address this problem is to make an extensive use of the symmetries of the protocol. In this paper, we investigate a rotation symmetry in phase space that is particularly relevant to continuous-variable QKD, and explore the way towards a new quantum de Finetti theorem that would exploit this symmetry and provide a powerful tool to assess the security of continuous-variable protocols. As a first step, a single-party asymptotic version of this quantum de Finetti theorem in phase space is derived. European Union (QAP (FP7-ICT-015848) France. Agence nationale de la recherche (PROSPIQ (ANR-06-NANO-041-05)) France. Agence nationale de la recherche (SEQURE (ANR- 07-SESU-011-01)) Région de Bruxelles-Capitale (Belgium) (project CRYPTASC) Région de Bruxelles-Capitale (Belgium) (programme Prospective Research for Brussels) 2012-05-09T20:26:32Z 2012-05-09T20:26:32Z 2009-11 2009-03 Article http://purl.org/eprint/type/JournalArticle 1367-2630 http://hdl.handle.net/1721.1/70554 Leverrier, A. et al. “Security of Continuous-variable Quantum Key Distribution: Towards a De Finetti Theorem for Rotation Symmetry in Phase Space.” New Journal of Physics 11.11 (2009): 115009. Web. en_US http://dx.doi.org/10.1088/1367-2630/11/11/115009 New Journal of Physics Creative Commons Attribution 3.0 http://creativecommons.org/licenses/by/3.0/ application/pdf Institute of Physics Publishing New Journal of Physics
spellingShingle Leverrier, Anthony
Karpov, Evgueni
Grangier, P.
Cerf, Nicolas J.
Security of continuous-variable quantum key distribution: towards a de Finetti theorem for rotation symmetry in phase space
title Security of continuous-variable quantum key distribution: towards a de Finetti theorem for rotation symmetry in phase space
title_full Security of continuous-variable quantum key distribution: towards a de Finetti theorem for rotation symmetry in phase space
title_fullStr Security of continuous-variable quantum key distribution: towards a de Finetti theorem for rotation symmetry in phase space
title_full_unstemmed Security of continuous-variable quantum key distribution: towards a de Finetti theorem for rotation symmetry in phase space
title_short Security of continuous-variable quantum key distribution: towards a de Finetti theorem for rotation symmetry in phase space
title_sort security of continuous variable quantum key distribution towards a de finetti theorem for rotation symmetry in phase space
url http://hdl.handle.net/1721.1/70554
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