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==== Example ====
For example, if the resultant entangled state (after the operations performed by Alice) was <math>B_{01} = \
: <math>
<math>B_{01}'' = \frac{1}{\sqrt{2}} \left({\left(\frac{1}{\sqrt{2}}(|0 \rangle - |1 \rangle) \right) }_A \otimes▼
▲
</math>
For simplicity, subscripts may be removed:
: <math>
\begin{align}
B_{01}'' &=
\left(▼
\
▲ \left(
▲\frac{1}{\sqrt{2}}(|0 \rangle + |1 \rangle) \otimes |1\rangle
▲\right)
\tfrac{1}{\sqrt{2}}(|0\rangle + |1\rangle) \otimes |1\rangle
\right) \\▼
&=
\left(▼
\
▲ \left(
▲\frac{1}{\sqrt{2}}(|01 \rangle + |11 \rangle)
▲\right)
\tfrac{1}{\sqrt{2}}(|01 \rangle + |11\rangle)
\right) =
▲\frac{1}{2}|01 \rangle - \frac{1}{2} |11 \rangle +
\
= |01\rangle.
\end{align}
</math>
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