Tight bound on the coherent-state quantum key distribution with heterodyne detection

2007/04/11 by Jérôme Lodewyck, Jerome Lodewyck, Philippe Grangier · 4 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #quant-ph

paper · pdf · doi:10.1103/physreva.76.022332

published as Phys. Rev. A 76, 022332 (2007) · 8 pages, 3 figures

arxiv created 2007/04/11 · openalex publication_date 2007/08/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We propose an upper bound for the eavesdropper's information in the direct and reverse reconciliated coherent states quantum key distribution protocols with heterodyne detection. This bound is derived by maximizing the leaked information over the symplectic group of transformations that spans every physical Gaussian attack on individual pulses. We exhibit four different attacks that reach this bound, which shows that this bound is tight. Finally, we compare the secret key rate obtained with this bound to the homodyne rate.

Citations

• Continuous-Variable Quantum Cryptography is Secure against Non-Gaussian Attacks
• Quantum limits on noise in linear amplifiers

Cited by

• Simple proof that Gaussian attacks are optimal among collective attacks against continuous-variable quantum key distribution with a Gaussian modulation
• Tight bounds on the eavesdropping of a continuous-variable quantum cryptographic protocol with no basis switching
• Finite-size analysis of a continuous-variable quantum key distribution
• Hybrid quantum key distribution using coherent states and photon-number-resolving detectors

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