Finite-key analysis on the 1-decoy state QKD protocol
Davide Rusca, Alberto Boaron, Fadri Gr\"unenfelder, Anthony Martin and, Hugo Zbinden

TL;DR
This paper provides a finite-key analysis of the 1-decoy state QKD protocol, showing it outperforms the 2-decoy protocol in practical scenarios with finite data sizes, making it more suitable for real-world applications.
Contribution
The paper introduces a finite-key security analysis for the 1-decoy protocol, demonstrating its advantages over the 2-decoy protocol in practical settings.
Findings
1-decoy protocol achieves higher secret key rates for block sizes up to 10^8 bits.
1-decoy protocol is easier to implement than 2-decoy protocol.
For most experimental conditions, 1-decoy outperforms 2-decoy in finite-key scenarios.
Abstract
It has been shown that in the asymptotic case of infinite-key length the 2-decoy state QKD protocol outperforms the 1-decoy state protocol. Here, we present a finite-key analysis of the 1-decoy method. Interestingly, we find that for practical block sizes of up to bits, the 1-decoy protocol achieves for almost all experimental settings higher secret key rates than the 2-decoy protocol. Since using only one decoy is also easier to implement, we conclude that it is the best choice for practical QKD.
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