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@@ -981,7 +979,7 @@ <h2 id="rewriting-the-string-of-matrices" class="anchor">Rewriting the string of
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<!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
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<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>
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$$
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\boldsymbol{X} \boldsymbol{Y} = -\boldsymbol{Y} \boldsymbol{X} = i \boldsymbol{X}.
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\boldsymbol{X} \boldsymbol{Y} = -\boldsymbol{Y} \boldsymbol{X} = i \boldsymbol{Z}.
Copy file name to clipboardExpand all lines: doc/pub/week7/html/week7-reveal.html
+1-28Lines changed: 1 addition & 28 deletions
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@@ -815,7 +815,7 @@ <h2 id="rewriting-the-string-of-matrices">Rewriting the string of matrices </h2>
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<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>
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<p> <br>
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$$
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\boldsymbol{X} \boldsymbol{Y} = -\boldsymbol{Y} \boldsymbol{X} = i \boldsymbol{X}.
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\boldsymbol{X} \boldsymbol{Y} = -\boldsymbol{Y} \boldsymbol{X} = i \boldsymbol{Z}.
@@ -902,7 +901,7 @@ <h2 id="rewriting-the-string-of-matrices">Rewriting the string of matrices </h2>
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<p>
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<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>
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$$
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\boldsymbol{X} \boldsymbol{Y} = -\boldsymbol{Y} \boldsymbol{X} = i \boldsymbol{X}.
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\boldsymbol{X} \boldsymbol{Y} = -\boldsymbol{Y} \boldsymbol{X} = i \boldsymbol{Z}.
@@ -979,7 +978,7 @@ <h2 id="rewriting-the-string-of-matrices">Rewriting the string of matrices </h2>
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<p>
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<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>
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$$
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-
\boldsymbol{X} \boldsymbol{Y} = -\boldsymbol{Y} \boldsymbol{X} = i \boldsymbol{X}.
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+
\boldsymbol{X} \boldsymbol{Y} = -\boldsymbol{Y} \boldsymbol{X} = i \boldsymbol{Z}.
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