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diff --git a/ICQ/Exercices pdf 2.md b/ICQ/Exercices pdf 2.md new file mode 100644 index 0000000..eca000b --- /dev/null +++ b/ICQ/Exercices pdf 2.md @@ -0,0 +1,29 @@ +# Exercice 2 +$$ +\begin{align} +\ket{\psi} &= \frac{1}{\sqrt{ 2 }}[\ket{0} + e^{i\delta}\ket{1}] \\ +&= \frac{1}{\sqrt{ 2 }}[\begin{pmatrix} +1 \\ +0 +\end{pmatrix} + e^{i \delta} \begin{pmatrix} +0 \\ +1 +\end{pmatrix}] \\ +&= \frac{1}{\sqrt{ 2 }}\begin{pmatrix} +1 \\ +e^{i\delta} +\end{pmatrix} \\ +\bra{\psi} &= \frac{1}{\sqrt{ 2 }}[\bra{0} + e^{-i\delta}\bra{1}] \\ +&= \frac{1}{\sqrt{ 2 }}[\begin{pmatrix} +1 \\ +0 +\end{pmatrix} + e^{-i \delta} \begin{pmatrix} +0 \\ +1 +\end{pmatrix}] \\ +&= \frac{1}{\sqrt{ 2 }}\begin{pmatrix} +1 & e^{-i\delta} +\end{pmatrix} +\end{align} +$$ +# Exercice 3 |