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Deutsche Physikalische Gessellschaft IOP Institute of Physics

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

Focus on Quantum Cryptography

A Leverrier1,5, E Karpov2, P Grangier3 and N J Cerf2,4

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Part of Focus on Quantum Cryptography

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.


PACS

03.67.Dd Quantum cryptography and communication security

03.65.Ta Foundations of quantum mechanics; measurement theory

84.40.Ua Telecommunications: signal transmission and processing; communication satellites

Subjects

Computational physics

Electronics and devices

Quantum information and quantum mechanics

Dates

Issue 11 (November 2009)

Received 2 March 2009

Published 13 November 2009



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