correcting typos

Author: mhjensen

doc/pub/week2/html/week2-bs.html

@@ -52,7 +52,6 @@
                2,
                None,
                'basic-properties-of-hermitian-operators'),
-              ('The Pauli matrices again', 2, None, 'the-pauli-matrices-again'),
               ('Spectral Decomposition', 2, None, 'spectral-decomposition'),
               ('ONB again and again', 2, None, 'onb-again-and-again'),
               ('Projection operators', 2, None, 'projection-operators'),
@@ -179,7 +178,6 @@
      <!-- navigation toc: --> <li><a href="#measurements" style="font-size: 80%;">Measurements</a></li>
      <!-- navigation toc: --> <li><a href="#properties-of-a-measurement" style="font-size: 80%;">Properties of a measurement</a></li>
      <!-- navigation toc: --> <li><a href="#basic-properties-of-hermitian-operators" style="font-size: 80%;">Basic properties of hermitian operators</a></li>
-     <!-- navigation toc: --> <li><a href="#the-pauli-matrices-again" style="font-size: 80%;">The Pauli matrices again</a></li>
      <!-- navigation toc: --> <li><a href="#spectral-decomposition" style="font-size: 80%;">Spectral Decomposition</a></li>
      <!-- navigation toc: --> <li><a href="#onb-again-and-again" style="font-size: 80%;">ONB again and again</a></li>
      <!-- navigation toc: --> <li><a href="#projection-operators" style="font-size: 80%;">Projection operators</a></li>
@@ -359,21 +357,6 @@ <h2 id="basic-properties-of-hermitian-operators" class="anchor">Basic properties
 
 <p>preserves both the norm and orthogonality, that is \( \langle \phi_i \vert \phi_j\rangle=\langle \psi_i \vert \psi_j\rangle=\delta_{ij} \), as discussed earlier.</p>
 
-<!-- !split -->
-<h2 id="the-pauli-matrices-again" class="anchor">The Pauli matrices again </h2>
-
-<p>As example, consider the Pauli matrix \( \sigma_x \). We have already seen that this matrix is a unitary matrix. Consider then an orthogonal and normalized basis \( \vert 0\rangle^{\dagger} =\begin{bmatrix} 1 &amp; 0\end{bmatrix} \) and \( \vert 1\rangle^{\dagger} =\begin{bmatrix} 0 &amp; 1\end{bmatrix} \) and a state which is a linear superposition of these two basis states</p>
-
-$$
-\vert \psi_a\rangle=\alpha_0\vert 0\rangle +\alpha_1\vert 1\rangle.
-$$
-
-<p>A new state \( \vert \psi_b\rangle \) is given by</p>
-$$
-\vert \psi_b\rangle=\sigma_x\vert \psi_a\rangle=\alpha_0\vert 1\rangle +\alpha_1\vert 0\rangle.
-$$
-
-
 <!-- !split -->
 <h2 id="spectral-decomposition" class="anchor">Spectral Decomposition </h2>
 

doc/pub/week2/html/week2-reveal.html

@@ -301,25 +301,6 @@ <h2 id="basic-properties-of-hermitian-operators">Basic properties of hermitian o
 <p>preserves both the norm and orthogonality, that is \( \langle \phi_i \vert \phi_j\rangle=\langle \psi_i \vert \psi_j\rangle=\delta_{ij} \), as discussed earlier.</p>
 </section>
 
-<section>
-<h2 id="the-pauli-matrices-again">The Pauli matrices again </h2>
-
-<p>As example, consider the Pauli matrix \( \sigma_x \). We have already seen that this matrix is a unitary matrix. Consider then an orthogonal and normalized basis \( \vert 0\rangle^{\dagger} =\begin{bmatrix} 1 &amp; 0\end{bmatrix} \) and \( \vert 1\rangle^{\dagger} =\begin{bmatrix} 0 &amp; 1\end{bmatrix} \) and a state which is a linear superposition of these two basis states</p>
-
-<p>&nbsp;<br>
-$$
-\vert \psi_a\rangle=\alpha_0\vert 0\rangle +\alpha_1\vert 1\rangle.
-$$
-<p>&nbsp;<br>
-
-<p>A new state \( \vert \psi_b\rangle \) is given by</p>
-<p>&nbsp;<br>
-$$
-\vert \psi_b\rangle=\sigma_x\vert \psi_a\rangle=\alpha_0\vert 1\rangle +\alpha_1\vert 0\rangle.
-$$
-<p>&nbsp;<br>
-</section>
-
 <section>
 <h2 id="spectral-decomposition">Spectral Decomposition </h2>
 

doc/pub/week2/html/week2-solarized.html

@@ -79,7 +79,6 @@
                2,
                None,
                'basic-properties-of-hermitian-operators'),
-              ('The Pauli matrices again', 2, None, 'the-pauli-matrices-again'),
               ('Spectral Decomposition', 2, None, 'spectral-decomposition'),
               ('ONB again and again', 2, None, 'onb-again-and-again'),
               ('Projection operators', 2, None, 'projection-operators'),
@@ -302,21 +301,6 @@ <h2 id="basic-properties-of-hermitian-operators">Basic properties of hermitian o
 
 <p>preserves both the norm and orthogonality, that is \( \langle \phi_i \vert \phi_j\rangle=\langle \psi_i \vert \psi_j\rangle=\delta_{ij} \), as discussed earlier.</p>
 
-<!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="the-pauli-matrices-again">The Pauli matrices again </h2>
-
-<p>As example, consider the Pauli matrix \( \sigma_x \). We have already seen that this matrix is a unitary matrix. Consider then an orthogonal and normalized basis \( \vert 0\rangle^{\dagger} =\begin{bmatrix} 1 &amp; 0\end{bmatrix} \) and \( \vert 1\rangle^{\dagger} =\begin{bmatrix} 0 &amp; 1\end{bmatrix} \) and a state which is a linear superposition of these two basis states</p>
-
-$$
-\vert \psi_a\rangle=\alpha_0\vert 0\rangle +\alpha_1\vert 1\rangle.
-$$
-
-<p>A new state \( \vert \psi_b\rangle \) is given by</p>
-$$
-\vert \psi_b\rangle=\sigma_x\vert \psi_a\rangle=\alpha_0\vert 1\rangle +\alpha_1\vert 0\rangle.
-$$
-
-
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
 <h2 id="spectral-decomposition">Spectral Decomposition </h2>
 

doc/pub/week2/html/week2.html

@@ -156,7 +156,6 @@
                2,
                None,
                'basic-properties-of-hermitian-operators'),
-              ('The Pauli matrices again', 2, None, 'the-pauli-matrices-again'),
               ('Spectral Decomposition', 2, None, 'spectral-decomposition'),
               ('ONB again and again', 2, None, 'onb-again-and-again'),
               ('Projection operators', 2, None, 'projection-operators'),
@@ -379,21 +378,6 @@ <h2 id="basic-properties-of-hermitian-operators">Basic properties of hermitian o
 
 <p>preserves both the norm and orthogonality, that is \( \langle \phi_i \vert \phi_j\rangle=\langle \psi_i \vert \psi_j\rangle=\delta_{ij} \), as discussed earlier.</p>
 
-<!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="the-pauli-matrices-again">The Pauli matrices again </h2>
-
-<p>As example, consider the Pauli matrix \( \sigma_x \). We have already seen that this matrix is a unitary matrix. Consider then an orthogonal and normalized basis \( \vert 0\rangle^{\dagger} =\begin{bmatrix} 1 &amp; 0\end{bmatrix} \) and \( \vert 1\rangle^{\dagger} =\begin{bmatrix} 0 &amp; 1\end{bmatrix} \) and a state which is a linear superposition of these two basis states</p>
-
-$$
-\vert \psi_a\rangle=\alpha_0\vert 0\rangle +\alpha_1\vert 1\rangle.
-$$
-
-<p>A new state \( \vert \psi_b\rangle \) is given by</p>
-$$
-\vert \psi_b\rangle=\sigma_x\vert \psi_a\rangle=\alpha_0\vert 1\rangle +\alpha_1\vert 0\rangle.
-$$
-
-
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
 <h2 id="spectral-decomposition">Spectral Decomposition </h2>