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Du Ge-Hai1, 2, Li Hong-Wei1, 2, †, Wang Yang1, 2, Bao Wan-Su1, 2, ‡
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Probability tree of the state transformation. Alice sends the prepared photon state to the quantum channel, Eve gets the detection result with probability
p
1
∈
{
0.9
,
0.1
/
4
,
0.1
/
4
,
0.1
/
4
,
0.1
/
4
}
or
{
0.1
,
0.9
/
4
,
0.9
/
4
,
0.9
/
4
,
0.9
/
4
}
in the middle stage, then Bob preserves his detection result after the sifting protocol with probability
p
2
∈
{
0.9
r
1
+
(
0.1
/
4
)
r
2
,
(
0.1
/
4
)
r
2
,
(
0.1
/
4
)
r
2
,
(
0.1
/
4
)
r
2
,
(
0.1
/
4
)
r
2
}
or
{
0.1
(
1
−
r
2
)
+
(
0.9
/
4
)
(
1
−
r
1
)
,
(
0.9
/
4
)
(
1
−
r
1
)
,
(
0.9
/
4
)
(
1
−
r
1
)
,
(
0.9
/
4
)
(
1
−
r
1
)
,
(
0.9
/
4
)
(
1
−
r
1
)
}
with different measurement bases. Different colors represent different probabilities.
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