Heisenberg-limited eavesdropping on the continuous-variable quantum cryptographic protocol with no basis switching is impossible

Abstract

The Gaussian quantum key distribution protocol based on coherent states and heterodyne detection [Phys. Rev. Lett. 93, 170504 (2004)] has the advantage that no active random basis switching is needed on the receiver's side. Its security is, however, not very satisfyingly understood today because the bounds on the secret key rate that have been derived from Heisenberg relations are not attained by any known scheme. Here, we address the problem of the optimal Gaussian individual attack against this protocol, and derive tight upper bounds on the information accessible to an eavesdropper. The optical scheme achieving this bound is also exhibited, which concludes the security analysis of this protocol.

10 pages, 6 figures

References in corpus (9)

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• Finite-size analysis of continuous-variable quantum key distribution
• Continuous Variable Quantum Cryptography using Two-Way Quantum Communication
• Improvement of continuous-variable quantum key distribution systems by using optical preamplifiers
• Quantum Hacking on Continuous-Variable Quantum Key Distribution System using a Wavelength Attack
• A simple proof that Gaussian attacks are optimal among collective attacks against continuous-variable quantum key distribution with a Gaussian modulation
• Composable finite-size effects in free-space CV-QKD systems
• Hybrid quantum key distribution using coherent states and photon-number-resolving detectors
• Laser-induced solid-solid phase transition in As under pressure: A theoretical prediction
• Optimal realistic attacks in continuous-variable quantum key distribution
• Teleportation-based collective attacks in Gaussian quantum key distribution
• Security bounds for the eavesdropping collective attacks on general CV-QKD protocols
• Arbitrarily-high-dimensional reconciliation via cross-rotation for continuous-variable quantum key distribution
• Tightening the eavesdropping accessible information for continuous variable quantum key distribution protocols that involve non-maximally entanglement