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g
n
2
=
∑
m
P
φψ
,
(6)
a
n
n
m
=
1
where
g
n
is the degeneracy index of the eigenvalue
a
n
. When the 2-qubit
given in Eq. (3) is measured regarding the base, the probability of finding
a
0
state in the first qubit of the 2-qubit is
2
(7)
2
P
10
=
a
00
+
a
01
Analogously, the probability of finding a state
1
in the first qubit of the
2-qubit is
2
2
.
P
11
=
a
10
+
a
11
(8)
Similarly, for the second qubit, it is possible to determine the probability
of finding the states
0
and a
1
in the 2-qubit and is represented by
2
2
2
2
(9)
P
20
=
a
00
+
a
10
P
21
=
a
01
+
a
11
If the first qubit is in XX, the 2-qubit evolves to the state
a
10
+
a
11
(10)
ψ
*
=
10
11
2
2
a
+
a
10
11
By the other hand, if the first qubit is in
0
, the 2-qubit evolves to a new
state represented by
a
00
00
+
a
01
0
1
.
(11)
y
*
=
2
2
a
00
+
a
01
Similar expressions than as above mentioned can be determined for the
measure of the second bit of 2-qubit, where it is clearly represented with a
probabilistic feature of the entities.
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