Manuscript Oai265-B@2 · Oai265-B-v2.tex · section · 94b6f42f

Uniformly randomized settings

Exact binomial alternatives › Uniformly randomized settings · lines 867–884

Alternatively choose settings independently with probability $1/3$ , after the device output has returned. Under a common stationary channel and measurement model, all pass indicators are iid Bernoulli with

p = \frac{p _{x} ^{obs} + p _{y} ^{obs} + p _{z} ^{obs}}{3}, F_{obs} = \frac{3 p - 1}{2} .

A single binomial interval with $ζ = α_{s} /2$ gives

F_{L} = [\frac{3 ℓ ( N , K ; ζ ) - 1}{2} - b_{cal}]_{[0, 1]}, F_{U} = [\frac{3 u ( N , K ; ζ ) - 1}{2} + b_{cal}]_{[0, 1]} .

The same coverage argument applies.

Displayed formulas in this passage

unlabeled · line 873
$p = \frac{p _{x} ^{obs} + p _{y} ^{obs} + p _{z} ^{obs}}{3}, F_{obs} = \frac{3 p - 1}{2} .$
unlabeled · line 878
$F_{L} = [\frac{3 ℓ ( N , K ; ζ ) - 1}{2} - b_{cal}]_{[0, 1]}, F_{U} = [\frac{3 u ( N , K ; ζ ) - 1}{2} + b_{cal}]_{[0, 1]} .$

Nearby in this section

remark: Remark: Bounded scores are not binary counts