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https://doi.org/10.1103/Phys Rev Lett.85.441  D. Journal of Physics: Conference Series, 36 (1): 98-102, 2006. https://doi.org/10.1088/1742-6596/36/1/016  H.
The goal of this paper is twofold: 1) to review and clarify the stateof-the-art security analysis based on entropic uncertainty relations, and 2) to provide an accessible resource for researchers interested in a security analysis of quantum cryptographic protocols that takes into account finite resource effects.
For this purpose we collect and clarify several arguments spread in the literature on the subject with the goal of making this treatment largely self-contained.
Under certain assumptions, this problem has been formulated as a convex optimization problem and numerical methods have been proposed to produce reliable lower bounds for discrete-variable QKD protocols.
We investigate the applicability of these numerical approaches and apply the numerical methods to study a variety of protocols, including measurement-device-independent (MDI) protocols, variations of the BB84 protocol with a passive countermeasure against Trojan horse attacks, and the phase-encoding BB84 protocol using attenuated laser sources without continuous phase randomization.
https://doi.org/10.1038/nphoton.2016.50  P.
Experimental demonstration of long-distance continuous-variable quantum key distribution. Quantum key distribution (QKD) exploits the inherent strangeness of quantum mechanics to improve secure communication, enabling two pre-authenticated participants to establish symmetric encryption keys over long distances, without making any assumptions about the computational abilities of an adversary.QKD commonly relies on the transmission and detection of single photons to distribute the secret keys, but the secret-key generation rates are often limited by hardware, namely the ability to produce or detect nonclassical states of light.This thesis applies numerical methods to analyze the security of quantum key distribution (QKD) protocols.The main theoretical problem in QKD security proofs is to calculate the secret key generation rate. Concise and Tight Security Analysis of the Bennett-Brassard 1984 Protocol with Finite Key Lengths. https://doi.org/10.1088/1367-2630/14/9/093014  V. Über den Anschaulichen Inhalt der Quantentheoretischen Kinematik und Mechanik. Quantum key distribution without detector vulnerabilities using optically seeded lasers. Quantum Cryptography with Finite Resources: Unconditional Security Bound for Discrete-Variable Protocols with One-Way Postprocessing. https://doi.org/10.1103/Phys Rev Lett.100.200501  R.