Gaussian two-mode attacks in one-way quantum cryptography

Abstract

We investigate the asymptotic security of one-way continuous variable quantum key distribution against Gaussian two-mode coherent attacks. The one-way protocol is implemented by arranging the channel uses in two-mode blocks. By applying symmetric random permutations over these blocks, the security analysis is in fact reduced to study two-mode coherent attacks and, in particular, Gaussian ones, due to the extremality of Gaussian states. We explicitly show that the use of two-mode Gaussian correlations by an eavesdropper leads to asymptotic secret key rates which are strictly larger than the rate obtained under standard single-mode Gaussian attacks.

9 pages, 2 figures

References in corpus (10)

• The Quantum Internet
• Distillation of secret key and entanglement from quantum states
• Quantum technologies with hybrid systems
• Composable security proof for continuous-variable quantum key distribution with coherent states
• A de Finetti representation theorem for infinite dimensional quantum systems and applications to quantum cryptography
• Continuous Variable Quantum Cryptography using Two-Way Quantum Communication
• Characterization of Collective Gaussian Attacks and Security of Coherent-State Quantum Cryptography
• Continuous-variable quantum cryptography with an untrusted relay: Detailed security analysis of the symmetric configuration
• Numerical simulation of the optimal two-mode attacks for two-way continuous-variable quantum cryptography in reverse reconciliation
• Privacy of a lossy bosonic memory channel

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