update week 2

Author: mhjensen

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

@@ -89,18 +89,18 @@
                2,
                None,
                'density-matrices-operators'),
-              ('Properties of density matrices',
+              ('Properties of density matrices I',
                2,
                None,
-               'properties-of-density-matrices'),
-              ('Important properties of the density matrix',
+               'properties-of-density-matrices-i'),
+              ('Properties of density matrices II',
                2,
                None,
-               'important-properties-of-the-density-matrix'),
-              ('More on the density matrix',
+               'properties-of-density-matrices-ii'),
+              ('More on the density matrix III',
                2,
                None,
-               'more-on-the-density-matrix'),
+               'more-on-the-density-matrix-iii'),
               ('First entanglement encounter, two qubit system',
                2,
                None,
@@ -117,7 +117,10 @@
               ('Examples of entanglement', 2, None, 'examples-of-entanglement'),
               ('Ground state of helium', 2, None, 'ground-state-of-helium'),
               ('Maximally entangled', 2, None, 'maximally-entangled'),
-              ('Second exercise set', 2, None, 'second-exercise-set'),
+              ('Second exercise set, planned for Wednesday February 4',
+               2,
+               None,
+               'second-exercise-set-planned-for-wednesday-february-4'),
               ('1: Traces of operators', 2, None, '1-traces-of-operators'),
               ('2: Exponentiated operators',
                2,
@@ -201,9 +204,9 @@
      <!-- navigation toc: --> <li><a href="#extending-the-expressions" style="font-size: 80%;">Extending the expressions</a></li>
      <!-- navigation toc: --> <li><a href="#density-matrices" style="font-size: 80%;">Density Matrices</a></li>
      <!-- navigation toc: --> <li><a href="#density-matrices-operators" style="font-size: 80%;">Density matrices/operators</a></li>
-     <!-- navigation toc: --> <li><a href="#properties-of-density-matrices" style="font-size: 80%;">Properties of density matrices</a></li>
-     <!-- navigation toc: --> <li><a href="#important-properties-of-the-density-matrix" style="font-size: 80%;">Important properties of the density matrix</a></li>
-     <!-- navigation toc: --> <li><a href="#more-on-the-density-matrix" style="font-size: 80%;">More on the density matrix</a></li>
+     <!-- navigation toc: --> <li><a href="#properties-of-density-matrices-i" style="font-size: 80%;">Properties of density matrices I</a></li>
+     <!-- navigation toc: --> <li><a href="#properties-of-density-matrices-ii" style="font-size: 80%;">Properties of density matrices II</a></li>
+     <!-- navigation toc: --> <li><a href="#more-on-the-density-matrix-iii" style="font-size: 80%;">More on the density matrix III</a></li>
      <!-- navigation toc: --> <li><a href="#first-entanglement-encounter-two-qubit-system" style="font-size: 80%;">First entanglement encounter, two qubit system</a></li>
      <!-- navigation toc: --> <li><a href="#computational-basis" style="font-size: 80%;">Computational basis</a></li>
      <!-- navigation toc: --> <li><a href="#bell-states" style="font-size: 80%;">Bell states</a></li>
@@ -217,7 +220,7 @@
      <!-- navigation toc: --> <li><a href="#examples-of-entanglement" style="font-size: 80%;">Examples of entanglement</a></li>
      <!-- navigation toc: --> <li><a href="#ground-state-of-helium" style="font-size: 80%;">Ground state of helium</a></li>
      <!-- navigation toc: --> <li><a href="#maximally-entangled" style="font-size: 80%;">Maximally entangled</a></li>
-     <!-- navigation toc: --> <li><a href="#second-exercise-set" style="font-size: 80%;">Second exercise set</a></li>
+     <!-- navigation toc: --> <li><a href="#second-exercise-set-planned-for-wednesday-february-4" style="font-size: 80%;">Second exercise set, planned for Wednesday February 4</a></li>
      <!-- navigation toc: --> <li><a href="#1-traces-of-operators" style="font-size: 80%;">1: Traces of operators</a></li>
      <!-- navigation toc: --> <li><a href="#2-exponentiated-operators" style="font-size: 80%;">2: Exponentiated operators</a></li>
      <!-- navigation toc: --> <li><a href="#3-reduced-density-operators-i" style="font-size: 80%;">3: Reduced density operators I</a></li>
@@ -279,9 +282,8 @@ <h2 id="this-week-s-plans" class="anchor">This week's plans </h2>
 <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
 <ol>
 <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 (again), Measurements and Density matrices</li> 
+<li> Spectral Decomposition, Measurements and Density matrices</li> 
 <li> Wavefunction collapse as a result of measurement</li>
 <li> Entanglement and relations to density matrices
 <!-- o Video of lecture at <a href="https://youtu.be/T7l-rciM0N0" target="_self"><tt>https://youtu.be/T7l-rciM0N0</tt></a> -->
@@ -844,7 +846,7 @@ <h2 id="density-matrices-operators" class="anchor">Density matrices/operators </
 
 
 <!-- !split -->
-<h2 id="properties-of-density-matrices" class="anchor">Properties of density matrices </h2>
+<h2 id="properties-of-density-matrices-i" class="anchor">Properties of density matrices I </h2>
 
 <p>A density matrix in a Hilbert space with \( n \) states has the following properties (which we state without proof)</p>
 <ol>
@@ -861,7 +863,7 @@ <h2 id="properties-of-density-matrices" class="anchor">Properties of density mat
 
 
 <!-- !split -->
-<h2 id="important-properties-of-the-density-matrix" class="anchor">Important properties of the density matrix  </h2>
+<h2 id="properties-of-density-matrices-ii" class="anchor">Properties of density matrices II  </h2>
 <div class="panel panel-default">
 <div class="panel-body">
 <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
@@ -890,7 +892,7 @@ <h2 id="important-properties-of-the-density-matrix" class="anchor">Important pro
 
 
 <!-- !split -->
-<h2 id="more-on-the-density-matrix" class="anchor">More on the density matrix </h2>
+<h2 id="more-on-the-density-matrix-iii" class="anchor">More on the density matrix III </h2>
 <div class="panel panel-default">
 <div class="panel-body">
 <!-- subsequent paragraphs come in larger fonts, so start with a paragraph -->
@@ -1132,7 +1134,7 @@ <h2 id="maximally-entangled" class="anchor">Maximally entangled </h2>
 
 
 <!-- !split -->
-<h2 id="second-exercise-set" class="anchor">Second exercise set </h2>
+<h2 id="second-exercise-set-planned-for-wednesday-february-4" class="anchor">Second exercise set, planned for Wednesday February 4 </h2>
 
 <!-- !split -->
 <h2 id="1-traces-of-operators" class="anchor">1: Traces of operators  </h2>

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

@@ -214,9 +214,8 @@ <h2 id="this-week-s-plans">This week's plans </h2>
 <p>
 <ol>
 <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 (again), Measurements and Density matrices</li> 
+<p><li> Spectral Decomposition, Measurements and Density matrices</li> 
 <p><li> Wavefunction collapse as a result of measurement</li>
 <p><li> Entanglement and relations to density matrices
 <!-- o Video of lecture at <a href="https://youtu.be/T7l-rciM0N0" target="_blank"><tt>https://youtu.be/T7l-rciM0N0</tt></a> -->
@@ -900,7 +899,7 @@ <h2 id="density-matrices-operators">Density matrices/operators </h2>
 </section>
 
 <section>
-<h2 id="properties-of-density-matrices">Properties of density matrices </h2>
+<h2 id="properties-of-density-matrices-i">Properties of density matrices I </h2>
 
 <p>A density matrix in a Hilbert space with \( n \) states has the following properties (which we state without proof)</p>
 <ol>
@@ -920,7 +919,7 @@ <h2 id="properties-of-density-matrices">Properties of density matrices </h2>
 </section>
 
 <section>
-<h2 id="important-properties-of-the-density-matrix">Important properties of the density matrix  </h2>
+<h2 id="properties-of-density-matrices-ii">Properties of density matrices II  </h2>
 <div class="alert alert-block alert-block alert-text-normal">
 <b></b>
 <p>
@@ -950,7 +949,7 @@ <h2 id="important-properties-of-the-density-matrix">Important properties of the
 </section>
 
 <section>
-<h2 id="more-on-the-density-matrix">More on the density matrix </h2>
+<h2 id="more-on-the-density-matrix-iii">More on the density matrix III </h2>
 <div class="alert alert-block alert-block alert-text-normal">
 <b></b>
 <p>
@@ -1246,7 +1245,7 @@ <h2 id="maximally-entangled">Maximally entangled </h2>
 </section>
 
 <section>
-<h2 id="second-exercise-set">Second exercise set </h2>
+<h2 id="second-exercise-set-planned-for-wednesday-february-4">Second exercise set, planned for Wednesday February 4 </h2>
 </section>
 
 <section>

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

@@ -116,18 +116,18 @@
                2,
                None,
                'density-matrices-operators'),
-              ('Properties of density matrices',
+              ('Properties of density matrices I',
                2,
                None,
-               'properties-of-density-matrices'),
-              ('Important properties of the density matrix',
+               'properties-of-density-matrices-i'),
+              ('Properties of density matrices II',
                2,
                None,
-               'important-properties-of-the-density-matrix'),
-              ('More on the density matrix',
+               'properties-of-density-matrices-ii'),
+              ('More on the density matrix III',
                2,
                None,
-               'more-on-the-density-matrix'),
+               'more-on-the-density-matrix-iii'),
               ('First entanglement encounter, two qubit system',
                2,
                None,
@@ -144,7 +144,10 @@
               ('Examples of entanglement', 2, None, 'examples-of-entanglement'),
               ('Ground state of helium', 2, None, 'ground-state-of-helium'),
               ('Maximally entangled', 2, None, 'maximally-entangled'),
-              ('Second exercise set', 2, None, 'second-exercise-set'),
+              ('Second exercise set, planned for Wednesday February 4',
+               2,
+               None,
+               'second-exercise-set-planned-for-wednesday-february-4'),
               ('1: Traces of operators', 2, None, '1-traces-of-operators'),
               ('2: Exponentiated operators',
                2,
@@ -223,9 +226,8 @@ <h2 id="this-week-s-plans">This week's plans </h2>
 <p>
 <ol>
 <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 (again), Measurements and Density matrices</li> 
+<li> Spectral Decomposition, Measurements and Density matrices</li> 
 <li> Wavefunction collapse as a result of measurement</li>
 <li> Entanglement and relations to density matrices
 <!-- o Video of lecture at <a href="https://youtu.be/T7l-rciM0N0" target="_blank"><tt>https://youtu.be/T7l-rciM0N0</tt></a> -->
@@ -787,7 +789,7 @@ <h2 id="density-matrices-operators">Density matrices/operators </h2>
 
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="properties-of-density-matrices">Properties of density matrices </h2>
+<h2 id="properties-of-density-matrices-i">Properties of density matrices I </h2>
 
 <p>A density matrix in a Hilbert space with \( n \) states has the following properties (which we state without proof)</p>
 <ol>
@@ -804,7 +806,7 @@ <h2 id="properties-of-density-matrices">Properties of density matrices </h2>
 
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="important-properties-of-the-density-matrix">Important properties of the density matrix  </h2>
+<h2 id="properties-of-density-matrices-ii">Properties of density matrices II  </h2>
 <div class="alert alert-block alert-block alert-text-normal">
 <b></b>
 <p>
@@ -830,7 +832,7 @@ <h2 id="important-properties-of-the-density-matrix">Important properties of the
 
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="more-on-the-density-matrix">More on the density matrix </h2>
+<h2 id="more-on-the-density-matrix-iii">More on the density matrix III </h2>
 <div class="alert alert-block alert-block alert-text-normal">
 <b></b>
 <p>
@@ -1070,7 +1072,7 @@ <h2 id="maximally-entangled">Maximally entangled </h2>
 
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="second-exercise-set">Second exercise set </h2>
+<h2 id="second-exercise-set-planned-for-wednesday-february-4">Second exercise set, planned for Wednesday February 4 </h2>
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
 <h2 id="1-traces-of-operators">1: Traces of operators  </h2>

doc/pub/week2/html/week2.html

@@ -193,18 +193,18 @@
                2,
                None,
                'density-matrices-operators'),
-              ('Properties of density matrices',
+              ('Properties of density matrices I',
                2,
                None,
-               'properties-of-density-matrices'),
-              ('Important properties of the density matrix',
+               'properties-of-density-matrices-i'),
+              ('Properties of density matrices II',
                2,
                None,
-               'important-properties-of-the-density-matrix'),
-              ('More on the density matrix',
+               'properties-of-density-matrices-ii'),
+              ('More on the density matrix III',
                2,
                None,
-               'more-on-the-density-matrix'),
+               'more-on-the-density-matrix-iii'),
               ('First entanglement encounter, two qubit system',
                2,
                None,
@@ -221,7 +221,10 @@
               ('Examples of entanglement', 2, None, 'examples-of-entanglement'),
               ('Ground state of helium', 2, None, 'ground-state-of-helium'),
               ('Maximally entangled', 2, None, 'maximally-entangled'),
-              ('Second exercise set', 2, None, 'second-exercise-set'),
+              ('Second exercise set, planned for Wednesday February 4',
+               2,
+               None,
+               'second-exercise-set-planned-for-wednesday-february-4'),
               ('1: Traces of operators', 2, None, '1-traces-of-operators'),
               ('2: Exponentiated operators',
                2,
@@ -300,9 +303,8 @@ <h2 id="this-week-s-plans">This week's plans </h2>
 <p>
 <ol>
 <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 (again), Measurements and Density matrices</li> 
+<li> Spectral Decomposition, Measurements and Density matrices</li> 
 <li> Wavefunction collapse as a result of measurement</li>
 <li> Entanglement and relations to density matrices
 <!-- o Video of lecture at <a href="https://youtu.be/T7l-rciM0N0" target="_blank"><tt>https://youtu.be/T7l-rciM0N0</tt></a> -->
@@ -864,7 +866,7 @@ <h2 id="density-matrices-operators">Density matrices/operators </h2>
 
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="properties-of-density-matrices">Properties of density matrices </h2>
+<h2 id="properties-of-density-matrices-i">Properties of density matrices I </h2>
 
 <p>A density matrix in a Hilbert space with \( n \) states has the following properties (which we state without proof)</p>
 <ol>
@@ -881,7 +883,7 @@ <h2 id="properties-of-density-matrices">Properties of density matrices </h2>
 
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="important-properties-of-the-density-matrix">Important properties of the density matrix  </h2>
+<h2 id="properties-of-density-matrices-ii">Properties of density matrices II  </h2>
 <div class="alert alert-block alert-block alert-text-normal">
 <b></b>
 <p>
@@ -907,7 +909,7 @@ <h2 id="important-properties-of-the-density-matrix">Important properties of the
 
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="more-on-the-density-matrix">More on the density matrix </h2>
+<h2 id="more-on-the-density-matrix-iii">More on the density matrix III </h2>
 <div class="alert alert-block alert-block alert-text-normal">
 <b></b>
 <p>
@@ -1147,7 +1149,7 @@ <h2 id="maximally-entangled">Maximally entangled </h2>
 
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="second-exercise-set">Second exercise set </h2>
+<h2 id="second-exercise-set-planned-for-wednesday-february-4">Second exercise set, planned for Wednesday February 4 </h2>
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
 <h2 id="1-traces-of-operators">1: Traces of operators  </h2>