Abstract
Quantum key distribution involving decoy-states is a significant application of quantum information. By using three-intensity decoy-states of single-photon-added coherent sources, we propose a practically realizable scheme on quantum key distribution which approaches very closely the ideal asymptotic case of an infinite number of decoy-states. We make a comparative study between this scheme and two other existing ones, i.e., two-intensity decoy-states with single-photon-added coherent sources, and three-intensity decoy-states with weak coherent sources. Through numerical analysis, we demonstrate the advantages of our scheme in secure transmission distance and the final key generation rate.
Highlights
SPACS has a relatively high probability of single-photon and no vacuum component
We have introduced an improved scheme on MDI-Quantum key distribution (QKD) involving three-intensity decoy-state with SPACS, and have compared its performance with two existing methods
We have demonstrated that our scheme shows excellent behavior in both the secure transmission distance and the final key generation rate
Summary
In MDI-QKD, Alice and Bob simultaneously send signals to an untrusted third party (UTP, possibly controlled by an eavesdropper Eve). Alice and Bob need to randomly prepare the signals with intensities α, β, respectively, where α, β ∈ {μx, μy, μz}. When Alice and Bob send signals with intensities α and β, respectively, the gain and QBER are given by. YnWm denotes the yield, and enWm denotes the error rate, when Alice sends an n-photon pulse and Bob sends an m-photon pulse to the UTP. By inequalities (3) and (4), one can obtain the lower bound of the successful single-photon yield Y1Z1,L in the Z-basis and the upper bound of the single-photon error rate e1X1,U in the X-basis. With f being the error correction efficiency and H(p) := − p log2(p) − (1 − p)log2(1 − p) is the binary Shannon entropy function
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