Security of continuous-variable QKD: exploiting symmetries in phase space

Abstract

Proving the unconditional security of a quantum key distribution (QKD) scheme is a highly challenging task as one needs to determine the most efficient attack compatible with experimental data. This task is even more demanding for continuous-variable QKD as the Hilbert space where the protocol is described is infinite dimensional. A very natural way to address this problem is to make an extensive use of the symmetries of the protocols. In this article, we investigate a symmetry in phase space that is particularly relevant to continuous-variable QKD, and explore the way towards a new quantum de Finetti theorem that would exploit this symmetry and provide a powerful tool to assess the security of continuous-variable protocols.

13 pages

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• Security of continuous-variable quantum key distribution against general attacks
• Analysis of Imperfections in Practical Continuous-Variable Quantum Key Distribution
• Local oscillator fluctuation opens a loophole for Eve in practical continuous-variable quantum-key-distribution systems
• Self-referenced continuous-variable quantum key distribution protocol
• Feasibility of quantum key distribution through dense wavelength division multiplexing network
• Continuous-variable quantum key distribution protocols with a non-Gaussian modulation
• Continuous variable quantum key distribution in non-Markovian channels
• A balanced homodyne detector for high-rate Gaussian-modulated coherent-state quantum key distribution
• Gaussian Post-selection for Continuous Variable Quantum Cryptography
• A simple proof that Gaussian attacks are optimal among collective attacks against continuous-variable quantum key distribution with a Gaussian modulation
• Experimental study on discretely modulated continuous-variable quantum key distribution
• Security of a new two-way continuous-variable quantum key distribution protocol
• De Finetti theorem on the CAR algebra
• Continuous-variable quantum communication
• Refined finite-size analysis of binary-modulation continuous-variable quantum key distribution
• A symmetrization technique for continuous-variable quantum key distribution