A Leverrier et al 2009 New J. Phys. 11 115009 doi:10.1088/1367-2630/11/11/115009
A Leverrier1,5, E Karpov2, P Grangier3 and N J Cerf2,4
Show affiliationsPart 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.
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
Issue 11 (November 2009)
Received 2 March 2009
Published 13 November 2009
A Leverrier et al 2009 New J. Phys. 11 115009
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