Table 1 Satellite configurations \(({N}_{{\rm{R}}}^{\star },{N}_{{\rm{S}}}^{\star },{h}^{\star })\), as defined in eq. (3), corresponding to the maxima of the curves for the figure of merit C(h, d) plotted in the central panel of Fig. 3.

From: Spooky action at a global distance: analysis of space-based entanglement distribution for the quantum internet

d (km)

h (km)

\({N}_{R}^{\star }\)

\({N}_{S}^{\star }\)

\({\overline{\eta }}_{\text{dB}}\)

\(\overline{R}\) (ebits/s)

1500

1000

7

13

62.80

1321.32

2500

1500

7

13

66.86

289.07

3500

2000

8

10

72.93

70.02

4500

3000

8

9

77.64

20.52

5000

3500

8

9

79.75

12.03

  1. Also shown are the average loss \({\overline{\eta }}_{\text{dB}}\equiv {\overline{\eta }}_{\text{dB}}({N}_{{\rm{R}}}^{\star },{N}_{{\rm{S}}}^{\star },{h}^{\star },d)\) and average rate \(\overline{R}\equiv \overline{R}({N}_{{\rm{R}}}^{\star },{N}_{{\rm{S}}}^{\star },{h}^{\star },d)\) over 24 h for the optimal satellite configuration. See the Methods section for the formal definition of \({\overline{\eta }}_{\text{dB}}\) and \(\overline{R}\).