Table 3 The coefficients of the optimised states with \({n}_{\max }=1\) photon.

From: Surpassing the repeaterless bound with a photon-number encoded measurement-device-independent quantum key distribution protocol

Distance

a0

a1

(km)

b0

b1

0

0.5

0.5

0.5

0.5308

0.4692

1

0.5505

0.4495

2.5

0.5918

0.4082

5

0.6371

0.3629

10

0.6935

0.3065

15

0.7292

0.2708

20

0.7542

0.2458

30

0.7869

0.2131

50

0.8205

0.1795

100

0.8483

0.1517

200

0.8575

0.1425

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