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A simple proof that Gaussian attacks are optimal among collective attacks against continuous-variable quantum key distribution with a Gaussian modulation

Abstract : In this paper, we give a simple proof of the fact that the optimal collective attacks against continous-variable quantum key distribution with a Gaussian modulation are Gaussian attacks. Our proof makes use of symmetry properties of the quantum key distribution protocol in phase-space.
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Anthony Leverrier, Philippe Grangier. A simple proof that Gaussian attacks are optimal among collective attacks against continuous-variable quantum key distribution with a Gaussian modulation. Physical Review A, American Physical Society, 2010, 81, pp.062314. ⟨10.1103/PhysRevA.81.062314⟩. ⟨hal-00553558⟩

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