Fig. 5: Optimal randomness generation rates as a function of the loss of VOA with different values of \({\hat{p}}_{\alpha }\) and error estimation methods including random sampling (RS), entropy inequality (EI) and infinite length (IL). | npj Quantum Information

Fig. 5: Optimal randomness generation rates as a function of the loss of VOA with different values of \({\hat{p}}_{\alpha }\) and error estimation methods including random sampling (RS), entropy inequality (EI) and infinite length (IL).

From: Security analysis and improvement of source independent quantum random number generators with imperfect devices

Fig. 5

RS, EI, and IL represent the models without the afterpulse and RSP, EIP, and ILP represent the models with the afterpulse \({\hat{p}}_{\alpha }=5 \%\). The experimental parameters are listed in Table 1, and we assume that the pulse distribution is the coherent state that contains ν = 50 photons initially. a The condition with low loss. b The condition with the loss of up to 50 dB.

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