update week 2

Author: mhjensen

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

@@ -59,10 +59,11 @@
               ('Further manipulations', 2, None, 'further-manipulations'),
               ('Spectral decomposition', 2, None, 'spectral-decomposition'),
               ('Explicit results', 2, None, 'explicit-results'),
-              ('The spectral decomposition',
+              ('The spectral decomposition, from last week',
                2,
                None,
-               'the-spectral-decomposition'),
+               'the-spectral-decomposition-from-last-week'),
+              ('Meet the Bloch sphere', 2, None, 'meet-the-bloch-sphere'),
               ('Measurements', 2, None, 'measurements'),
               ('Qubit example', 2, None, 'qubit-example'),
               ('Total probability', 2, None, 'total-probability'),
@@ -181,7 +182,8 @@
      <!-- navigation toc: --> <li><a href="#further-manipulations" style="font-size: 80%;">Further manipulations</a></li>
      <!-- navigation toc: --> <li><a href="#spectral-decomposition" style="font-size: 80%;">Spectral decomposition</a></li>
      <!-- navigation toc: --> <li><a href="#explicit-results" style="font-size: 80%;">Explicit results</a></li>
-     <!-- navigation toc: --> <li><a href="#the-spectral-decomposition" style="font-size: 80%;">The spectral decomposition</a></li>
+     <!-- navigation toc: --> <li><a href="#the-spectral-decomposition-from-last-week" style="font-size: 80%;">The spectral decomposition, from last week</a></li>
+     <!-- navigation toc: --> <li><a href="#meet-the-bloch-sphere" style="font-size: 80%;">Meet the Bloch sphere</a></li>
      <!-- navigation toc: --> <li><a href="#measurements" style="font-size: 80%;">Measurements</a></li>
      <!-- navigation toc: --> <li><a href="#qubit-example" style="font-size: 80%;">Qubit example</a></li>
      <!-- navigation toc: --> <li><a href="#total-probability" style="font-size: 80%;">Total probability</a></li>
@@ -260,7 +262,6 @@ <h2 id="summary-from-last-week-and-plans-for-this-week" class="anchor">Summary f
 </div>
 </div>
 
-<p>Most of the material can be found in Scherer, Mathematics of Quantum Computations, chapter 2, available electronically via UiO's subscription.</p>
 
 <!-- !split -->
 <h2 id="this-week-s-plans" class="anchor">This week's plans </h2>
@@ -272,7 +273,7 @@ <h2 id="this-week-s-plans" class="anchor">This week's plans </h2>
 <li> tensor products of Hilbert Spaces and definition of Computational basis, partly repetition from last week</li>
 <li> Reminder on spectral Decomposition from last week</li>
 <li> Bloch sphere and representation of qubits</li>
-<li> Spectral Decomposition, Measurements and Density matrices</li> 
+<li> Spectral Decomposition (again), Measurements and Density matrices</li> 
 <li> Wavefunction collapse as a result of measurement</li>
 <li> Simple Hamiltonians and other operators</li>
 <li> <a href="https://youtu.be/" target="_self">Video of lecture to be added</a>
@@ -504,7 +505,7 @@ <h2 id="explicit-results" class="anchor">Explicit results </h2>
 
 
 <!-- !split -->
-<h2 id="the-spectral-decomposition" class="anchor">The spectral decomposition </h2>
+<h2 id="the-spectral-decomposition-from-last-week" class="anchor">The spectral decomposition, from last week </h2>
 <p>The results from the previous slide gives us
 the following spectral decomposition of \( \boldsymbol{A} \)
 </p>
@@ -520,6 +521,39 @@ <h2 id="the-spectral-decomposition" class="anchor">The spectral decomposition </
 $$
 
 
+<!-- !split -->
+<h2 id="meet-the-bloch-sphere" class="anchor">Meet the Bloch sphere </h2>
+
+<!-- code=python (!bc pycod) typeset with pygments style "default" -->
+<div class="cell border-box-sizing code_cell rendered">
+  <div class="input">
+    <div class="inner_cell">
+      <div class="input_area">
+        <div class="highlight" style="background: #f8f8f8">
+  <pre style="line-height: 125%;"><span style="color: #008000; font-weight: bold">import</span> <span style="color: #0000FF; font-weight: bold">numpy</span> <span style="color: #008000; font-weight: bold">as</span> <span style="color: #0000FF; font-weight: bold">np</span>
+<span style="color: #008000; font-weight: bold">from</span> <span style="color: #0000FF; font-weight: bold">qiskit.visualization</span> <span style="color: #008000; font-weight: bold">import</span> plot_bloch_vector
+
+plot_bloch_vector([<span style="color: #666666">0</span>,<span style="color: #666666">1</span>,<span style="color: #666666">0</span>], title<span style="color: #666666">=</span><span style="color: #BA2121">&quot;New Bloch Sphere&quot;</span>)
+
+<span style="color: #408080; font-style: italic"># You can use spherical coordinates instead of cartesian.                                                                                                            </span>
+
+plot_bloch_vector([<span style="color: #666666">1</span>, np<span style="color: #666666">.</span>pi<span style="color: #666666">/2</span>, np<span style="color: #666666">.</span>pi<span style="color: #666666">/3</span>], coord_type<span style="color: #666666">=</span><span style="color: #BA2121">&#39;spherical&#39;</span>)
+</pre>
+</div>
+      </div>
+    </div>
+  </div>
+  <div class="output_wrapper">
+    <div class="output">
+      <div class="output_area">
+        <div class="output_subarea output_stream output_stdout output_text">          
+        </div>
+      </div>
+    </div>
+  </div>
+</div>
+
+
 <!-- !split -->
 <h2 id="measurements" class="anchor">Measurements </h2>
 

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

@@ -205,8 +205,6 @@ <h2 id="summary-from-last-week-and-plans-for-this-week">Summary from last week a
 <p><li> introduced the spectral decomposition of operators</li>
 </ol>
 </div>
-
-<p>Most of the material can be found in Scherer, Mathematics of Quantum Computations, chapter 2, available electronically via UiO's subscription.</p>
 </section>
 
 <section>
@@ -219,7 +217,7 @@ <h2 id="this-week-s-plans">This week's plans </h2>
 <p><li> tensor products of Hilbert Spaces and definition of Computational basis, partly repetition from last week</li>
 <p><li> Reminder on spectral Decomposition from last week</li>
 <p><li> Bloch sphere and representation of qubits</li>
-<p><li> Spectral Decomposition, Measurements and Density matrices</li> 
+<p><li> Spectral Decomposition (again), Measurements and Density matrices</li> 
 <p><li> Wavefunction collapse as a result of measurement</li>
 <p><li> Simple Hamiltonians and other operators</li>
 <p><li> <a href="https://youtu.be/" target="_blank">Video of lecture to be added</a>
@@ -495,7 +493,7 @@ <h2 id="explicit-results">Explicit results </h2>
 </section>
 
 <section>
-<h2 id="the-spectral-decomposition">The spectral decomposition </h2>
+<h2 id="the-spectral-decomposition-from-last-week">The spectral decomposition, from last week </h2>
 <p>The results from the previous slide gives us
 the following spectral decomposition of \( \boldsymbol{A} \)
 </p>
@@ -515,6 +513,39 @@ <h2 id="the-spectral-decomposition">The spectral decomposition </h2>
 <p>&nbsp;<br>
 </section>
 
+<section>
+<h2 id="meet-the-bloch-sphere">Meet the Bloch sphere </h2>
+
+<!-- code=python (!bc pycod) typeset with pygments style "perldoc" -->
+<div class="cell border-box-sizing code_cell rendered">
+  <div class="input">
+    <div class="inner_cell">
+      <div class="input_area">
+        <div class="highlight" style="background: #eeeedd">
+  <pre style="font-size: 80%; line-height: 125%;"><span style="color: #8B008B; font-weight: bold">import</span> <span style="color: #008b45; text-decoration: underline">numpy</span> <span style="color: #8B008B; font-weight: bold">as</span> <span style="color: #008b45; text-decoration: underline">np</span>
+<span style="color: #8B008B; font-weight: bold">from</span> <span style="color: #008b45; text-decoration: underline">qiskit.visualization</span> <span style="color: #8B008B; font-weight: bold">import</span> plot_bloch_vector
+
+plot_bloch_vector([<span style="color: #B452CD">0</span>,<span style="color: #B452CD">1</span>,<span style="color: #B452CD">0</span>], title=<span style="color: #CD5555">&quot;New Bloch Sphere&quot;</span>)
+
+<span style="color: #228B22"># You can use spherical coordinates instead of cartesian.                                                                                                            </span>
+
+plot_bloch_vector([<span style="color: #B452CD">1</span>, np.pi/<span style="color: #B452CD">2</span>, np.pi/<span style="color: #B452CD">3</span>], coord_type=<span style="color: #CD5555">&#39;spherical&#39;</span>)
+</pre>
+</div>
+      </div>
+    </div>
+  </div>
+  <div class="output_wrapper">
+    <div class="output">
+      <div class="output_area">
+        <div class="output_subarea output_stream output_stdout output_text">          
+        </div>
+      </div>
+    </div>
+  </div>
+</div>
+</section>
+
 <section>
 <h2 id="measurements">Measurements </h2>
 

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

@@ -86,10 +86,11 @@
               ('Further manipulations', 2, None, 'further-manipulations'),
               ('Spectral decomposition', 2, None, 'spectral-decomposition'),
               ('Explicit results', 2, None, 'explicit-results'),
-              ('The spectral decomposition',
+              ('The spectral decomposition, from last week',
                2,
                None,
-               'the-spectral-decomposition'),
+               'the-spectral-decomposition-from-last-week'),
+              ('Meet the Bloch sphere', 2, None, 'meet-the-bloch-sphere'),
               ('Measurements', 2, None, 'measurements'),
               ('Qubit example', 2, None, 'qubit-example'),
               ('Total probability', 2, None, 'total-probability'),
@@ -213,7 +214,6 @@ <h2 id="summary-from-last-week-and-plans-for-this-week">Summary from last week a
 </ol>
 </div>
 
-<p>Most of the material can be found in Scherer, Mathematics of Quantum Computations, chapter 2, available electronically via UiO's subscription.</p>
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
 <h2 id="this-week-s-plans">This week's plans </h2>
@@ -225,7 +225,7 @@ <h2 id="this-week-s-plans">This week's plans </h2>
 <li> tensor products of Hilbert Spaces and definition of Computational basis, partly repetition from last week</li>
 <li> Reminder on spectral Decomposition from last week</li>
 <li> Bloch sphere and representation of qubits</li>
-<li> Spectral Decomposition, Measurements and Density matrices</li> 
+<li> Spectral Decomposition (again), Measurements and Density matrices</li> 
 <li> Wavefunction collapse as a result of measurement</li>
 <li> Simple Hamiltonians and other operators</li>
 <li> <a href="https://youtu.be/" target="_blank">Video of lecture to be added</a>
@@ -456,7 +456,7 @@ <h2 id="explicit-results">Explicit results </h2>
 
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="the-spectral-decomposition">The spectral decomposition </h2>
+<h2 id="the-spectral-decomposition-from-last-week">The spectral decomposition, from last week </h2>
 <p>The results from the previous slide gives us
 the following spectral decomposition of \( \boldsymbol{A} \)
 </p>
@@ -472,6 +472,39 @@ <h2 id="the-spectral-decomposition">The spectral decomposition </h2>
 $$
 
 
+<!-- !split --><br><br><br><br><br><br><br><br><br><br>
+<h2 id="meet-the-bloch-sphere">Meet the Bloch sphere </h2>
+
+<!-- code=python (!bc pycod) typeset with pygments style "perldoc" -->
+<div class="cell border-box-sizing code_cell rendered">
+  <div class="input">
+    <div class="inner_cell">
+      <div class="input_area">
+        <div class="highlight" style="background: #eeeedd">
+  <pre style="line-height: 125%;"><span style="color: #8B008B; font-weight: bold">import</span> <span style="color: #008b45; text-decoration: underline">numpy</span> <span style="color: #8B008B; font-weight: bold">as</span> <span style="color: #008b45; text-decoration: underline">np</span>
+<span style="color: #8B008B; font-weight: bold">from</span> <span style="color: #008b45; text-decoration: underline">qiskit.visualization</span> <span style="color: #8B008B; font-weight: bold">import</span> plot_bloch_vector
+
+plot_bloch_vector([<span style="color: #B452CD">0</span>,<span style="color: #B452CD">1</span>,<span style="color: #B452CD">0</span>], title=<span style="color: #CD5555">&quot;New Bloch Sphere&quot;</span>)
+
+<span style="color: #228B22"># You can use spherical coordinates instead of cartesian.                                                                                                            </span>
+
+plot_bloch_vector([<span style="color: #B452CD">1</span>, np.pi/<span style="color: #B452CD">2</span>, np.pi/<span style="color: #B452CD">3</span>], coord_type=<span style="color: #CD5555">&#39;spherical&#39;</span>)
+</pre>
+</div>
+      </div>
+    </div>
+  </div>
+  <div class="output_wrapper">
+    <div class="output">
+      <div class="output_area">
+        <div class="output_subarea output_stream output_stdout output_text">          
+        </div>
+      </div>
+    </div>
+  </div>
+</div>
+
+
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
 <h2 id="measurements">Measurements </h2>
 

doc/pub/week2/html/week2.html

@@ -163,10 +163,11 @@
               ('Further manipulations', 2, None, 'further-manipulations'),
               ('Spectral decomposition', 2, None, 'spectral-decomposition'),
               ('Explicit results', 2, None, 'explicit-results'),
-              ('The spectral decomposition',
+              ('The spectral decomposition, from last week',
                2,
                None,
-               'the-spectral-decomposition'),
+               'the-spectral-decomposition-from-last-week'),
+              ('Meet the Bloch sphere', 2, None, 'meet-the-bloch-sphere'),
               ('Measurements', 2, None, 'measurements'),
               ('Qubit example', 2, None, 'qubit-example'),
               ('Total probability', 2, None, 'total-probability'),
@@ -290,7 +291,6 @@ <h2 id="summary-from-last-week-and-plans-for-this-week">Summary from last week a
 </ol>
 </div>
 
-<p>Most of the material can be found in Scherer, Mathematics of Quantum Computations, chapter 2, available electronically via UiO's subscription.</p>
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
 <h2 id="this-week-s-plans">This week's plans </h2>
@@ -302,7 +302,7 @@ <h2 id="this-week-s-plans">This week's plans </h2>
 <li> tensor products of Hilbert Spaces and definition of Computational basis, partly repetition from last week</li>
 <li> Reminder on spectral Decomposition from last week</li>
 <li> Bloch sphere and representation of qubits</li>
-<li> Spectral Decomposition, Measurements and Density matrices</li> 
+<li> Spectral Decomposition (again), Measurements and Density matrices</li> 
 <li> Wavefunction collapse as a result of measurement</li>
 <li> Simple Hamiltonians and other operators</li>
 <li> <a href="https://youtu.be/" target="_blank">Video of lecture to be added</a>
@@ -533,7 +533,7 @@ <h2 id="explicit-results">Explicit results </h2>
 
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="the-spectral-decomposition">The spectral decomposition </h2>
+<h2 id="the-spectral-decomposition-from-last-week">The spectral decomposition, from last week </h2>
 <p>The results from the previous slide gives us
 the following spectral decomposition of \( \boldsymbol{A} \)
 </p>
@@ -549,6 +549,39 @@ <h2 id="the-spectral-decomposition">The spectral decomposition </h2>
 $$
 
 
+<!-- !split --><br><br><br><br><br><br><br><br><br><br>
+<h2 id="meet-the-bloch-sphere">Meet the Bloch sphere </h2>
+
+<!-- code=python (!bc pycod) typeset with pygments style "default" -->
+<div class="cell border-box-sizing code_cell rendered">
+  <div class="input">
+    <div class="inner_cell">
+      <div class="input_area">
+        <div class="highlight" style="background: #f8f8f8">
+  <pre style="line-height: 125%;"><span style="color: #008000; font-weight: bold">import</span> <span style="color: #0000FF; font-weight: bold">numpy</span> <span style="color: #008000; font-weight: bold">as</span> <span style="color: #0000FF; font-weight: bold">np</span>
+<span style="color: #008000; font-weight: bold">from</span> <span style="color: #0000FF; font-weight: bold">qiskit.visualization</span> <span style="color: #008000; font-weight: bold">import</span> plot_bloch_vector
+
+plot_bloch_vector([<span style="color: #666666">0</span>,<span style="color: #666666">1</span>,<span style="color: #666666">0</span>], title<span style="color: #666666">=</span><span style="color: #BA2121">&quot;New Bloch Sphere&quot;</span>)
+
+<span style="color: #408080; font-style: italic"># You can use spherical coordinates instead of cartesian.                                                                                                            </span>
+
+plot_bloch_vector([<span style="color: #666666">1</span>, np<span style="color: #666666">.</span>pi<span style="color: #666666">/2</span>, np<span style="color: #666666">.</span>pi<span style="color: #666666">/3</span>], coord_type<span style="color: #666666">=</span><span style="color: #BA2121">&#39;spherical&#39;</span>)
+</pre>
+</div>
+      </div>
+    </div>
+  </div>
+  <div class="output_wrapper">
+    <div class="output">
+      <div class="output_area">
+        <div class="output_subarea output_stream output_stdout output_text">          
+        </div>
+      </div>
+    </div>
+  </div>
+</div>
+
+
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
 <h2 id="measurements">Measurements </h2>