Analysis of the trusted-device scenario in continuous-variable quantum key distribution

Abstract

The assumption that detection and/or state-preparation devices used for continuous-variable quantum key distribution (CV-QKD) are beyond influence of potential eavesdroppers leads to a significant performance enhancement in terms of achievable key rate and transmission distance. We provide a detailed and comprehensible derivation of the Holevo bound in this so-called trusted-device scenario. Modelling an entangling-cloner attack and using some basic algebraic matrix transformations, we show that the computation of the Holevo bound can be reduced to the solution of a quadratic equation. As an advantage of our derivation, the mathematical complexity of our solution does not increase with the number of trusted-noise sources. Finally, we provide a numerical evaluation of our results, illustrating the counter-intuitive fact that an appropriate amount of trusted receiver loss and noise can even be beneficial for the key rate.

arXiv comment14 pages, 6 figures

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• Trusted detector noise analysis for discrete modulation schemes of continuous-variable quantum key distribution
• Theoretical analysis of quantum key distribution systems when integrated with a DWDM optical transport network
• An introductory review of the theory of continuous-variable quantum key distribution: Fundamentals, protocols, and security
• Quantum communications in continuous variable systems
• Security against collective attacks for a continuous-variable quantum key distribution protocol using homodyne detection and postselection
• Asymmetry effects in homodyne and heterodyne measurements: Positive operator-valued measures and asymptotic security of Gaussian-continuous-variable quantum key distribution