A modular proof technique extends phase-error-estimation security bounds from basis-independent to mismatched detector efficiencies, enabling finite-key QKD security with simultaneous source and detector imperfections.
Here, we can define the basis dependent filters ˜FZ = Γ(Z) 0 + Γ(Z) 1 and ˜FX = Γ(X ) 0 + Γ(X ) 1 and assume the fol- lowing equivalent scenario for Bob:
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Security of quantum key distribution with source and detector imperfections through phase-error estimation
A modular proof technique extends phase-error-estimation security bounds from basis-independent to mismatched detector efficiencies, enabling finite-key QKD security with simultaneous source and detector imperfections.