update week 4

Author: mhjensen

doc/pub/week4/html/week4-bs.html

@@ -108,11 +108,11 @@
                'bringing-back-a-state-on-the-bloch-sphere'),
               ('Time evolution', 2, None, 'time-evolution'),
               ('Final expression', 2, None, 'final-expression'),
-              ('Part 3: Fanous Quantum gates, circuits and simple algorithms '
+              ('Part 3: Famous Quantum gates, circuits and simple algorithms '
                '(repetition  from last week)',
                2,
                None,
-               'part-3-fanous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week'),
+               'part-3-famous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week'),
               ('Quantum circuits', 2, None, 'quantum-circuits'),
               ('Single-Qubit Gates', 2, None, 'single-qubit-gates'),
               ('Widely used gates', 2, None, 'widely-used-gates'),
@@ -244,7 +244,7 @@
      <!-- navigation toc: --> <li><a href="#bringing-back-a-state-on-the-bloch-sphere" style="font-size: 80%;">Bringing back a state on the Bloch sphere</a></li>
      <!-- navigation toc: --> <li><a href="#time-evolution" style="font-size: 80%;">Time evolution</a></li>
      <!-- navigation toc: --> <li><a href="#final-expression" style="font-size: 80%;">Final expression</a></li>
-     <!-- navigation toc: --> <li><a href="#part-3-fanous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week" style="font-size: 80%;">Part 3: Fanous Quantum gates, circuits and simple algorithms (repetition  from last week)</a></li>
+     <!-- navigation toc: --> <li><a href="#part-3-famous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week" style="font-size: 80%;">Part 3: Famous Quantum gates, circuits and simple algorithms (repetition  from last week)</a></li>
      <!-- navigation toc: --> <li><a href="#quantum-circuits" style="font-size: 80%;">Quantum circuits</a></li>
      <!-- navigation toc: --> <li><a href="#single-qubit-gates" style="font-size: 80%;">Single-Qubit Gates</a></li>
      <!-- navigation toc: --> <li><a href="#widely-used-gates" style="font-size: 80%;">Widely used gates</a></li>
@@ -851,7 +851,7 @@ <h2 id="bringing-back-a-state-on-the-bloch-sphere" class="anchor">Bringing back
 <h2 id="time-evolution" class="anchor">Time evolution </h2>
 
 <p>Since the hamiltonian is time-independent, the state \( \vert \psi(0)
-\rangle \), our system will evolve according to unitary transformation
+\rangle \), our system will evolve according to the unitary transformation 
 </p>
 $$
 \vert \psi(t) \rangle = U(t)\vert \psi(0) \rangle=\exp{\imath\omega_L t\sigma_z/2}\vert \psi(0) \rangle.
@@ -862,6 +862,7 @@ <h2 id="time-evolution" class="anchor">Time evolution </h2>
 \vert \psi(t) \rangle=\exp{\imath\omega_L t\sigma_z/2}\cos{(\frac{\theta}{2})}\vert 0\rangle +\exp{\imath\omega_L t\sigma_z/2}\exp{\imath\phi}\sin{(\frac{\theta}{2})}\vert 1\rangle.
 $$
 
+<p>The specific hamiltonian we have chosen here serves to exemplify how can represent physical operations in terms of specifc gates, here a one-qubit gate (see whiteboard notes at <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf" target="_self"><tt>https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf</tt></a>for more details).</p>
 
 <!-- !split -->
 <h2 id="final-expression" class="anchor">Final expression </h2>
@@ -875,9 +876,10 @@ <h2 id="final-expression" class="anchor">Final expression </h2>
 \vert \psi(t) \rangle=\exp{\imath\omega_L t/2}\cos{(\frac{\theta}{2})}\vert 0\rangle +\exp{-\imath\omega_L t/2}\exp{\imath\phi}\sin{(\frac{\theta}{2})}\vert 1\rangle.
 $$
 
+<p>The whiteboard notes for this week contain other examples of one qubit gates and their relation to specific unitary transformations and effective Hamiltonian, see <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf" target="_self"><tt>https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf</tt></a></p>
 
 <!-- !split -->
-<h2 id="part-3-fanous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week" class="anchor">Part 3: Fanous Quantum gates, circuits and simple algorithms (repetition  from last week) </h2>
+<h2 id="part-3-famous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week" class="anchor">Part 3: Famous Quantum gates, circuits and simple algorithms (repetition  from last week) </h2>
 
 <p>Quantum gates are physical actions that are applied to the physical
 system representing the qubits. Mathematically, they are

doc/pub/week4/html/week4-reveal.html

@@ -862,7 +862,7 @@ <h2 id="bringing-back-a-state-on-the-bloch-sphere">Bringing back a state on the
 <h2 id="time-evolution">Time evolution </h2>
 
 <p>Since the hamiltonian is time-independent, the state \( \vert \psi(0)
-\rangle \), our system will evolve according to unitary transformation
+\rangle \), our system will evolve according to the unitary transformation 
 </p>
 <p>&nbsp;<br>
 $$
@@ -876,6 +876,8 @@ <h2 id="time-evolution">Time evolution </h2>
 \vert \psi(t) \rangle=\exp{\imath\omega_L t\sigma_z/2}\cos{(\frac{\theta}{2})}\vert 0\rangle +\exp{\imath\omega_L t\sigma_z/2}\exp{\imath\phi}\sin{(\frac{\theta}{2})}\vert 1\rangle.
 $$
 <p>&nbsp;<br>
+
+<p>The specific hamiltonian we have chosen here serves to exemplify how can represent physical operations in terms of specifc gates, here a one-qubit gate (see whiteboard notes at <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf" target="_blank"><tt>https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf</tt></a>for more details).</p>
 </section>
 
 <section>
@@ -893,10 +895,12 @@ <h2 id="final-expression">Final expression </h2>
 \vert \psi(t) \rangle=\exp{\imath\omega_L t/2}\cos{(\frac{\theta}{2})}\vert 0\rangle +\exp{-\imath\omega_L t/2}\exp{\imath\phi}\sin{(\frac{\theta}{2})}\vert 1\rangle.
 $$
 <p>&nbsp;<br>
+
+<p>The whiteboard notes for this week contain other examples of one qubit gates and their relation to specific unitary transformations and effective Hamiltonian, see <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf" target="_blank"><tt>https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf</tt></a></p>
 </section>
 
 <section>
-<h2 id="part-3-fanous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week">Part 3: Fanous Quantum gates, circuits and simple algorithms (repetition  from last week) </h2>
+<h2 id="part-3-famous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week">Part 3: Famous Quantum gates, circuits and simple algorithms (repetition  from last week) </h2>
 
 <p>Quantum gates are physical actions that are applied to the physical
 system representing the qubits. Mathematically, they are

doc/pub/week4/html/week4-solarized.html

@@ -109,11 +109,11 @@
                'bringing-back-a-state-on-the-bloch-sphere'),
               ('Time evolution', 2, None, 'time-evolution'),
               ('Final expression', 2, None, 'final-expression'),
-              ('Part 3: Fanous Quantum gates, circuits and simple algorithms '
+              ('Part 3: Famous Quantum gates, circuits and simple algorithms '
                '(repetition  from last week)',
                2,
                None,
-               'part-3-fanous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week'),
+               'part-3-famous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week'),
               ('Quantum circuits', 2, None, 'quantum-circuits'),
               ('Single-Qubit Gates', 2, None, 'single-qubit-gates'),
               ('Widely used gates', 2, None, 'widely-used-gates'),
@@ -756,7 +756,7 @@ <h2 id="bringing-back-a-state-on-the-bloch-sphere">Bringing back a state on the
 <h2 id="time-evolution">Time evolution </h2>
 
 <p>Since the hamiltonian is time-independent, the state \( \vert \psi(0)
-\rangle \), our system will evolve according to unitary transformation
+\rangle \), our system will evolve according to the unitary transformation 
 </p>
 $$
 \vert \psi(t) \rangle = U(t)\vert \psi(0) \rangle=\exp{\imath\omega_L t\sigma_z/2}\vert \psi(0) \rangle.
@@ -767,6 +767,7 @@ <h2 id="time-evolution">Time evolution </h2>
 \vert \psi(t) \rangle=\exp{\imath\omega_L t\sigma_z/2}\cos{(\frac{\theta}{2})}\vert 0\rangle +\exp{\imath\omega_L t\sigma_z/2}\exp{\imath\phi}\sin{(\frac{\theta}{2})}\vert 1\rangle.
 $$
 
+<p>The specific hamiltonian we have chosen here serves to exemplify how can represent physical operations in terms of specifc gates, here a one-qubit gate (see whiteboard notes at <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf" target="_blank"><tt>https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf</tt></a>for more details).</p>
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
 <h2 id="final-expression">Final expression </h2>
@@ -780,9 +781,10 @@ <h2 id="final-expression">Final expression </h2>
 \vert \psi(t) \rangle=\exp{\imath\omega_L t/2}\cos{(\frac{\theta}{2})}\vert 0\rangle +\exp{-\imath\omega_L t/2}\exp{\imath\phi}\sin{(\frac{\theta}{2})}\vert 1\rangle.
 $$
 
+<p>The whiteboard notes for this week contain other examples of one qubit gates and their relation to specific unitary transformations and effective Hamiltonian, see <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf" target="_blank"><tt>https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf</tt></a></p>
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="part-3-fanous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week">Part 3: Fanous Quantum gates, circuits and simple algorithms (repetition  from last week) </h2>
+<h2 id="part-3-famous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week">Part 3: Famous Quantum gates, circuits and simple algorithms (repetition  from last week) </h2>
 
 <p>Quantum gates are physical actions that are applied to the physical
 system representing the qubits. Mathematically, they are

doc/pub/week4/html/week4.html

@@ -186,11 +186,11 @@
                'bringing-back-a-state-on-the-bloch-sphere'),
               ('Time evolution', 2, None, 'time-evolution'),
               ('Final expression', 2, None, 'final-expression'),
-              ('Part 3: Fanous Quantum gates, circuits and simple algorithms '
+              ('Part 3: Famous Quantum gates, circuits and simple algorithms '
                '(repetition  from last week)',
                2,
                None,
-               'part-3-fanous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week'),
+               'part-3-famous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week'),
               ('Quantum circuits', 2, None, 'quantum-circuits'),
               ('Single-Qubit Gates', 2, None, 'single-qubit-gates'),
               ('Widely used gates', 2, None, 'widely-used-gates'),
@@ -833,7 +833,7 @@ <h2 id="bringing-back-a-state-on-the-bloch-sphere">Bringing back a state on the
 <h2 id="time-evolution">Time evolution </h2>
 
 <p>Since the hamiltonian is time-independent, the state \( \vert \psi(0)
-\rangle \), our system will evolve according to unitary transformation
+\rangle \), our system will evolve according to the unitary transformation 
 </p>
 $$
 \vert \psi(t) \rangle = U(t)\vert \psi(0) \rangle=\exp{\imath\omega_L t\sigma_z/2}\vert \psi(0) \rangle.
@@ -844,6 +844,7 @@ <h2 id="time-evolution">Time evolution </h2>
 \vert \psi(t) \rangle=\exp{\imath\omega_L t\sigma_z/2}\cos{(\frac{\theta}{2})}\vert 0\rangle +\exp{\imath\omega_L t\sigma_z/2}\exp{\imath\phi}\sin{(\frac{\theta}{2})}\vert 1\rangle.
 $$
 
+<p>The specific hamiltonian we have chosen here serves to exemplify how can represent physical operations in terms of specifc gates, here a one-qubit gate (see whiteboard notes at <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf" target="_blank"><tt>https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf</tt></a>for more details).</p>
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
 <h2 id="final-expression">Final expression </h2>
@@ -857,9 +858,10 @@ <h2 id="final-expression">Final expression </h2>
 \vert \psi(t) \rangle=\exp{\imath\omega_L t/2}\cos{(\frac{\theta}{2})}\vert 0\rangle +\exp{-\imath\omega_L t/2}\exp{\imath\phi}\sin{(\frac{\theta}{2})}\vert 1\rangle.
 $$
 
+<p>The whiteboard notes for this week contain other examples of one qubit gates and their relation to specific unitary transformations and effective Hamiltonian, see <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf" target="_blank"><tt>https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf</tt></a></p>
 
 <!-- !split --><br><br><br><br><br><br><br><br><br><br>
-<h2 id="part-3-fanous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week">Part 3: Fanous Quantum gates, circuits and simple algorithms (repetition  from last week) </h2>
+<h2 id="part-3-famous-quantum-gates-circuits-and-simple-algorithms-repetition-from-last-week">Part 3: Famous Quantum gates, circuits and simple algorithms (repetition  from last week) </h2>
 
 <p>Quantum gates are physical actions that are applied to the physical
 system representing the qubits. Mathematically, they are