From ff7208804be3fe7c6a03afa122587d940d794bc0 Mon Sep 17 00:00:00 2001 From: marcellus Date: Tue, 24 Jun 2025 16:55:29 +0200 Subject: maj: 2025-06-24 16:55:29 --- ICQ/Exercices pdf 2.md | 29 +++++++++++++++++++++++++++++ 1 file changed, 29 insertions(+) create mode 100644 ICQ/Exercices pdf 2.md (limited to 'ICQ/Exercices pdf 2.md') 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 -- cgit v1.2.3