Two-way Gaussian quantum cryptography against coherent attacks in direct reconciliation

Abstract

We consider the two-way quantum cryptographic protocol with coherent states assuming direct reconciliation. A detailed security analysis is performed considering a two-mode coherent attack, that represents the residual eavesdropping once the parties have reduced the general attack by applying symmetric random permutations. In this context we provide a general analytical expression for the keyrate, discussing the impact of the residual two-mode correlations on the security of the scheme. In particular we identify the optimal eavesdropping against two-way quantum communication, which is given by a two-mode coherent attack with symmetric and separable correlations.

8 pages, 5 figures. Close to the published version

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• Modular network for high-rate quantum conferencing
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• Composable security of two-way continuous-variable quantum key distribution without active symmetrization
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• Security-proof framework for two-way Gaussian quantum-key-distribution protocols
• Gaussian two-mode attacks in one-way quantum cryptography
• Numerical simulation of the optimal two-mode attacks for two-way continuous-variable quantum cryptography in reverse reconciliation
• Continuous-variable source-device-independent quantum key distribution against general attacks
• Improving the lower bound to the secret-key capacity of the thermal amplifier channel
• Negativity-Mutual Information conversion and coherence in two-coupled harmonic oscillators
• Rotation Based Slice Error Correction Protocol for Continuous-variable Quantum Key Distribution and its Implementation with Polar Codes
• CV-MDI-QKD: One-mode Gaussian attacks are not enough