研究目的
To investigate the finite-key analysis against coherent attacks for high-dimensional quantum key distribution (HD-QKD) without and with intensity fluctuations, and to compare the performances of HD-QKD based on different parameter estimation methods.
研究成果
The finite-key analysis for HD-QKD against coherent attacks based on the improved Chernoff bound provides tighter bounds for parameter estimation compared to the Chernoff bound or Hoeffding’s inequality. Intensity fluctuations significantly affect the secret-key rate, especially for shorter transmission running times. The study highlights the importance of developing tighter bounds for parameter estimation and maintaining the stability of intensity modulators in practical decoy-state HD-QKD systems.
研究不足
The study assumes known fluctuation ranges of intensity and neglects the fluctuation ranges of mean-squared differences of detection times due to intensity fluctuations. The impact of intensity fluctuations is more pronounced for shorter running times.
1:Experimental Design and Method Selection:
The study employs the Chernoff bound, the improved Chernoff bound, and Azuma’s inequality for parameter estimation in HD-QKD under coherent attacks.
2:Sample Selection and Data Sources:
Numerical simulations are conducted based on a QKD system model with specific parameters including signal and decoy state intensities, transmittance of fiber, detection efficiency, dark count rate, and others.
3:List of Experimental Equipment and Materials:
The setup includes a spontaneous parametric down conversion (SPDC) source, time-resolved single-photon detectors, and dispersive optics for W basis measurements.
4:Experimental Procedures and Operational Workflow:
The protocol involves preparation of time-energy entangled states, random modulation of intensity, basis selection, measurement, basis sifting, decoy-state processing, parameter estimation, and postprocessing.
5:Data Analysis Methods:
The analysis involves estimating the number of vacuum and single-photon events, calculating the L1 distance between detected photons’ frequency detunings, and determining the secret-key rate.
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