Table 1 Relation between variables used in the proof of the general situation.

From: Secure random number generation from parity symmetric radiations

wi

↑

none

↓

double

zi = g(wi)

0

1

\({\tilde{w}}_{i}=h({w}_{i})\)

single

none

single

double

  1. The output from detector pair D↓, D↑ in the time-bin i is represented as wi. The variable zi( = g(wi)) gives the output of the actual detector D = (D↓) that can be emulated from wi; this corresponds to ignoring outputs of D↑. The variable \(\tilde{{w}_{i}}(=(h({w}_{i})))\) denotes how many detectors went off out of D↓ and D↑.
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