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Table 3 Parameters of the QKD model for a conservative source performance. Note that we consider two cases: \(\tau = 1~\mbox{ns}\) and \(\mu = 0.1\), corresponding to a pair production of \(10^{8}~\mbox{s}^{-1}\), and \(\tau = 200~\mbox{ps}\) and \(\mu = 0.06\), which corresponds to \(R_{\text{pair}} = 3 \cdot 10 ^{8}~\mbox{s} ^{-1}\)

From: Nanobob: a CubeSat mission concept for quantum communication experiments in an uplink configuration

q

basis reconciliation factor

0.5

 

f(E)

bidirectional error correction function

1.22

 

τ

coincidence time window

1 (0.2)

ns

μ

average number of photons per pulse

0.1 (0.06)

 

\(D_{A}\)

OGS dark count rate per detector

100

cps

\(D_{B}\)

satellite dark count rate per detector

≥100

cps

B

satellite background count rate

400

cps

\(N_{\mathrm{det}}\)

number of detectors

4

 

PDE

Photon Detection Efficiency of satellite single photon detectors [40]

0.4

 

\(T_{\mathrm{optics}}\)

satellite receiver optical transmission

0.8

 

\(\eta _{A}\)

OGS overall detection efficiency [44]

0.6

 

\(\eta _{B}\)

\(\eta _{B} = T_{\mathrm{optics}} \cdot \mbox{PDE} \cdot 10^{-A/10}\), with A the quantum channel link attenuation in dB

  

\({e}_{0}\)

error probability of dark- and background counts

0.5

 

\({e}_{\mathrm{d}}\)

error probability of photon arriving on wrong detector (polarization error)

0.01