Security of continuous-variable quantum key distribution: towards a de Finetti theorem for rotation symmetry in phase space
Author(s)Leverrier, Anthony; Karpov, Evgueni; Grangier, P.; Cerf, Nicolas J.
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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.
DepartmentMassachusetts Institute of Technology. Research Laboratory of Electronics
New Journal of Physics
Institute of Physics Publishing
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.
Final published version