update

Author: mhjensen

doc/pub/week7/html/week7-bs.html

@@ -977,10 +977,7 @@ <h2 id="rewriting-the-string-of-matrices" class="anchor">Rewriting the string of
 <div class="panel panel-default">
 <div class="panel-body">
 <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
-<p>Use the fact that \( \sigma_i^2 = I \) and \( \sigma_i \sigma_j = -\sigma_j \sigma_i \) for \( i \neq j \) to simplify the expression. For example:</p>
-$$
-\boldsymbol{X} \boldsymbol{Y} = -\boldsymbol{Y} \boldsymbol{X} = i \boldsymbol{Z}.
-$$
+<p>Use the fact that \( \sigma_i^2 = I \) and the above mentioned commutation relation.</p>
 </div>
 </div>
 
@@ -1000,7 +997,7 @@ <h2 id="more-rewriting-tricks" class="anchor">More rewriting tricks </h2>
 <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
 <p>If the final expression is not diagonal, you may need to apply a unitary transformation to diagonalize it before measurement. For example,to measure \( \boldsymbol{X} \), you can apply the Hadamard gate \( \boldsymbol{H} \) to transform it into \( \boldsymbol{X} \):</p>
 $$
-H \boldsymbol{X} H = \boldsymbol{Z}.
+\boldsymbol{H} \boldsymbol{X} \boldsymbol{H} = \boldsymbol{Z}.
 $$
 </div>
 </div>

doc/pub/week7/html/week7-reveal.html

@@ -812,12 +812,7 @@ <h2 id="rewriting-the-string-of-matrices">Rewriting the string of matrices </h2>
 <div class="alert alert-block alert-block alert-text-normal">
 <b>Simplify using identities:</b>
 <p>
-<p>Use the fact that \( \sigma_i^2 = I \) and \( \sigma_i \sigma_j = -\sigma_j \sigma_i \) for \( i \neq j \) to simplify the expression. For example:</p>
-<p>&nbsp;<br>
-$$
-\boldsymbol{X} \boldsymbol{Y} = -\boldsymbol{Y} \boldsymbol{X} = i \boldsymbol{Z}.
-$$
-<p>&nbsp;<br>
+<p>Use the fact that \( \sigma_i^2 = I \) and the above mentioned commutation relation.</p>
 </div>
 </section>
 
@@ -836,7 +831,7 @@ <h2 id="more-rewriting-tricks">More rewriting tricks </h2>
 <p>If the final expression is not diagonal, you may need to apply a unitary transformation to diagonalize it before measurement. For example,to measure \( \boldsymbol{X} \), you can apply the Hadamard gate \( \boldsymbol{H} \) to transform it into \( \boldsymbol{X} \):</p>
 <p>&nbsp;<br>
 $$
-H \boldsymbol{X} H = \boldsymbol{Z}.
+\boldsymbol{H} \boldsymbol{X} \boldsymbol{H} = \boldsymbol{Z}.
 $$
 <p>&nbsp;<br>
 </div>

doc/pub/week7/html/week7-solarized.html

@@ -899,10 +899,7 @@ <h2 id="rewriting-the-string-of-matrices">Rewriting the string of matrices </h2>
 <div class="alert alert-block alert-block alert-text-normal">
 <b>Simplify using identities:</b>
 <p>
-<p>Use the fact that \( \sigma_i^2 = I \) and \( \sigma_i \sigma_j = -\sigma_j \sigma_i \) for \( i \neq j \) to simplify the expression. For example:</p>
-$$
-\boldsymbol{X} \boldsymbol{Y} = -\boldsymbol{Y} \boldsymbol{X} = i \boldsymbol{Z}.
-$$
+<p>Use the fact that \( \sigma_i^2 = I \) and the above mentioned commutation relation.</p>
 </div>
 
 
@@ -920,7 +917,7 @@ <h2 id="more-rewriting-tricks">More rewriting tricks </h2>
 <p>
 <p>If the final expression is not diagonal, you may need to apply a unitary transformation to diagonalize it before measurement. For example,to measure \( \boldsymbol{X} \), you can apply the Hadamard gate \( \boldsymbol{H} \) to transform it into \( \boldsymbol{X} \):</p>
 $$
-H \boldsymbol{X} H = \boldsymbol{Z}.
+\boldsymbol{H} \boldsymbol{X} \boldsymbol{H} = \boldsymbol{Z}.
 $$
 </div>
 

doc/pub/week7/html/week7.html

@@ -976,10 +976,7 @@ <h2 id="rewriting-the-string-of-matrices">Rewriting the string of matrices </h2>
 <div class="alert alert-block alert-block alert-text-normal">
 <b>Simplify using identities:</b>
 <p>
-<p>Use the fact that \( \sigma_i^2 = I \) and \( \sigma_i \sigma_j = -\sigma_j \sigma_i \) for \( i \neq j \) to simplify the expression. For example:</p>
-$$
-\boldsymbol{X} \boldsymbol{Y} = -\boldsymbol{Y} \boldsymbol{X} = i \boldsymbol{Z}.
-$$
+<p>Use the fact that \( \sigma_i^2 = I \) and the above mentioned commutation relation.</p>
 </div>
 
 
@@ -997,7 +994,7 @@ <h2 id="more-rewriting-tricks">More rewriting tricks </h2>
 <p>
 <p>If the final expression is not diagonal, you may need to apply a unitary transformation to diagonalize it before measurement. For example,to measure \( \boldsymbol{X} \), you can apply the Hadamard gate \( \boldsymbol{H} \) to transform it into \( \boldsymbol{X} \):</p>
 $$
-H \boldsymbol{X} H = \boldsymbol{Z}.
+\boldsymbol{H} \boldsymbol{X} \boldsymbol{H} = \boldsymbol{Z}.
 $$
 </div>