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

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'plans-for-the-week-of-february-10-14'),
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('Gates, the whys and hows', 2, None, 'gates-the-whys-and-hows'),
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('Structure of the lecture', 2, None, 'structure-of-the-lecture'),
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('Mathematical background', 2, None, 'mathematical-background'),
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('Part 1: Mathematical background',
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'part-1-mathematical-background'),
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('Unitary transformation', 2, None, 'unitary-transformation'),
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('Interaction picture', 2, None, 'interaction-picture'),
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('Taking the derivative wrt time',
@@ -92,15 +95,15 @@
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None,
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'initial-state-preparation'),
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('Final expression', 2, None, 'final-expression'),
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('Specific realizations and famous gates',
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('Part 2: Specific realizations and famous gates',
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2,
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None,
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'specific-realizations-and-famous-gates'),
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('Quantum gates, circuits and simple algorithms (parts from last '
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'week)',
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'part-2-specific-realizations-and-famous-gates'),
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('Part 3: Fanous Quantum gates, circuits and simple algorithms '
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'(parts from last week)',
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2,
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None,
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'quantum-gates-circuits-and-simple-algorithms-parts-from-last-week'),
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'part-3-fanous-quantum-gates-circuits-and-simple-algorithms-parts-from-last-week'),
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('Quantum circuits', 2, None, 'quantum-circuits'),
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('Single-Qubit Gates', 2, None, 'single-qubit-gates'),
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('Widely used gates', 2, None, 'widely-used-gates'),
@@ -173,7 +176,7 @@
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<!-- navigation toc: --> <li><a href="#plans-for-the-week-of-february-10-14" style="font-size: 80%;">Plans for the week of February 10-14</a></li>
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<!-- navigation toc: --> <li><a href="#gates-the-whys-and-hows" style="font-size: 80%;">Gates, the whys and hows</a></li>
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<!-- navigation toc: --> <li><a href="#structure-of-the-lecture" style="font-size: 80%;">Structure of the lecture</a></li>
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<!-- navigation toc: --> <li><a href="#mathematical-background" style="font-size: 80%;">Mathematical background</a></li>
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<!-- navigation toc: --> <li><a href="#part-1-mathematical-background" style="font-size: 80%;">Part 1: Mathematical background</a></li>
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<!-- navigation toc: --> <li><a href="#unitary-transformation" style="font-size: 80%;">Unitary transformation</a></li>
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<!-- navigation toc: --> <li><a href="#interaction-picture" style="font-size: 80%;">Interaction picture</a></li>
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<!-- navigation toc: --> <li><a href="#taking-the-derivative-wrt-time" style="font-size: 80%;">Taking the derivative wrt time</a></li>
@@ -196,8 +199,8 @@
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<!-- navigation toc: --> <li><a href="#time-evolution" style="font-size: 80%;">Time evolution</a></li>
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<!-- navigation toc: --> <li><a href="#initial-state-preparation" style="font-size: 80%;">Initial state preparation</a></li>
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<!-- navigation toc: --> <li><a href="#final-expression" style="font-size: 80%;">Final expression</a></li>
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<!-- navigation toc: --> <li><a href="#specific-realizations-and-famous-gates" style="font-size: 80%;">Specific realizations and famous gates</a></li>
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<!-- navigation toc: --> <li><a href="#quantum-gates-circuits-and-simple-algorithms-parts-from-last-week" style="font-size: 80%;">Quantum gates, circuits and simple algorithms (parts from last week)</a></li>
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<!-- navigation toc: --> <li><a href="#part-2-specific-realizations-and-famous-gates" style="font-size: 80%;">Part 2: Specific realizations and famous gates</a></li>
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<!-- navigation toc: --> <li><a href="#part-3-fanous-quantum-gates-circuits-and-simple-algorithms-parts-from-last-week" style="font-size: 80%;">Part 3: Fanous Quantum gates, circuits and simple algorithms (parts from last week)</a></li>
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<!-- navigation toc: --> <li><a href="#quantum-circuits" style="font-size: 80%;">Quantum circuits</a></li>
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<!-- navigation toc: --> <li><a href="#single-qubit-gates" style="font-size: 80%;">Single-Qubit Gates</a></li>
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<!-- navigation toc: --> <li><a href="#widely-used-gates" style="font-size: 80%;">Widely used gates</a></li>
@@ -260,9 +263,9 @@ <h2 id="plans-for-the-week-of-february-10-14" class="anchor">Plans for the week
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<li> Reminder from last week on gates and circuits</li>
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<li> One-qubit and two-qubit gates, background and realizations
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<!-- o Entropy as a measurement of entanglement --></li>
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<li> Simple Hamiltonian systems and how to use the density matrix to estimate degrees of entanglement</li>
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<li> Simple Hamiltonian systems</li>
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<li> <a href="https://youtu.be/" target="_self">Video of lecture to be added</a>
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<!-- o <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesFebruary7.pdf" target="_self">Whiteboard notes</a> --></li>
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<!-- o <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf" target="_self">Whiteboard notes</a> --></li>
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</ol>
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<!-- !split -->
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<h2 id="gates-the-whys-and-hows" class="anchor">Gates, the whys and hows </h2>
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<li> These unitary transformations are then represented as gates. Setting gates together gives us a final circuit which can represent a specific physical system</li>
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</ol>
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<!-- !split -->
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<h2 id="mathematical-background" class="anchor">Mathematical background </h2>
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<h2 id="part-1-mathematical-background" class="anchor">Part 1: Mathematical background </h2>
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<p>The time-dependent Schr\"odinger equation (or equation of motion) reads</p>
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$$
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<!-- !split -->
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<h2 id="specific-realizations-and-famous-gates" class="anchor">Specific realizations and famous gates </h2>
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<h2 id="part-2-specific-realizations-and-famous-gates" class="anchor">Part 2: Specific realizations and famous gates </h2>
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<p>This part is not yet ready and will be part of the whiteboard notes.
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I will try to get it ready by the end of Tuesday, Feb 11
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</p>
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<!-- !split -->
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<h2 id="quantum-gates-circuits-and-simple-algorithms-parts-from-last-week" class="anchor">Quantum gates, circuits and simple algorithms (parts from last week) </h2>
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<h2 id="part-3-fanous-quantum-gates-circuits-and-simple-algorithms-parts-from-last-week" class="anchor">Part 3: Fanous Quantum gates, circuits and simple algorithms (parts from last week) </h2>
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<p>Quantum gates are physical actions that are applied to the physical
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system representing the qubits. Mathematically, they are

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

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@@ -201,9 +201,9 @@ <h2 id="plans-for-the-week-of-february-10-14">Plans for the week of February 10-
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<p><li> Reminder from last week on gates and circuits</li>
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<p><li> One-qubit and two-qubit gates, background and realizations
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<!-- o Entropy as a measurement of entanglement --></li>
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<p><li> Simple Hamiltonian systems and how to use the density matrix to estimate degrees of entanglement</li>
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<p><li> Simple Hamiltonian systems</li>
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<p><li> <a href="https://youtu.be/" target="_blank">Video of lecture to be added</a>
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<!-- o <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesFebruary7.pdf" target="_blank">Whiteboard notes</a> --></li>
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<!-- o <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf" target="_blank">Whiteboard notes</a> --></li>
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</ol>
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</section>
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</section>
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<section>
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<h2 id="mathematical-background">Mathematical background </h2>
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<h2 id="part-1-mathematical-background">Part 1: Mathematical background </h2>
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<p>The time-dependent Schr\"odinger equation (or equation of motion) reads</p>
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<p>&nbsp;<br>
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</section>
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<section>
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<h2 id="specific-realizations-and-famous-gates">Specific realizations and famous gates </h2>
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<h2 id="part-2-specific-realizations-and-famous-gates">Part 2: Specific realizations and famous gates </h2>
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<p>This part is not yet ready and will be part of the whiteboard notes.
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I will try to get it ready by the end of Tuesday, Feb 11
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</p>
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</section>
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<section>
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<h2 id="quantum-gates-circuits-and-simple-algorithms-parts-from-last-week">Quantum gates, circuits and simple algorithms (parts from last week) </h2>
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<h2 id="part-3-fanous-quantum-gates-circuits-and-simple-algorithms-parts-from-last-week">Part 3: Fanous Quantum gates, circuits and simple algorithms (parts from last week) </h2>
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<p>Quantum gates are physical actions that are applied to the physical
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system representing the qubits. Mathematically, they are

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

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('Taking the derivative wrt time',
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('Final expression', 2, None, 'final-expression'),
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('Part 3: Fanous Quantum gates, circuits and simple algorithms '
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'(parts from last week)',
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('Quantum circuits', 2, None, 'quantum-circuits'),
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('Single-Qubit Gates', 2, None, 'single-qubit-gates'),
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('Widely used gates', 2, None, 'widely-used-gates'),
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<li> Reminder from last week on gates and circuits</li>
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<li> One-qubit and two-qubit gates, background and realizations
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<!-- o Entropy as a measurement of entanglement --></li>
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<li> Simple Hamiltonian systems and how to use the density matrix to estimate degrees of entanglement</li>
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<li> Simple Hamiltonian systems</li>
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<li> <a href="https://youtu.be/" target="_blank">Video of lecture to be added</a>
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<!-- o <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesFebruary7.pdf" target="_blank">Whiteboard notes</a> --></li>
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<!-- o <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf" target="_blank">Whiteboard notes</a> --></li>
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</ol>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="gates-the-whys-and-hows">Gates, the whys and hows </h2>
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<li> These unitary transformations are then represented as gates. Setting gates together gives us a final circuit which can represent a specific physical system</li>
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</ol>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="mathematical-background">Mathematical background </h2>
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<h2 id="part-1-mathematical-background">Part 1: Mathematical background </h2>
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<p>The time-dependent Schr\"odinger equation (or equation of motion) reads</p>
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$$
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="specific-realizations-and-famous-gates">Specific realizations and famous gates </h2>
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<h2 id="part-2-specific-realizations-and-famous-gates">Part 2: Specific realizations and famous gates </h2>
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<p>This part is not yet ready and will be part of the whiteboard notes.
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I will try to get it ready by the end of Tuesday, Feb 11
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</p>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="quantum-gates-circuits-and-simple-algorithms-parts-from-last-week">Quantum gates, circuits and simple algorithms (parts from last week) </h2>
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<h2 id="part-3-fanous-quantum-gates-circuits-and-simple-algorithms-parts-from-last-week">Part 3: Fanous Quantum gates, circuits and simple algorithms (parts from last week) </h2>
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<p>Quantum gates are physical actions that are applied to the physical
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system representing the qubits. Mathematically, they are

doc/pub/week4/html/week4.html

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'plans-for-the-week-of-february-10-14'),
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('Gates, the whys and hows', 2, None, 'gates-the-whys-and-hows'),
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('Single-Qubit Gates', 2, None, 'single-qubit-gates'),
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('Widely used gates', 2, None, 'widely-used-gates'),
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<li> Reminder from last week on gates and circuits</li>
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<li> One-qubit and two-qubit gates, background and realizations
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<!-- o Entropy as a measurement of entanglement --></li>
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<li> Simple Hamiltonian systems and how to use the density matrix to estimate degrees of entanglement</li>
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<li> Simple Hamiltonian systems</li>
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<li> <a href="https://youtu.be/" target="_blank">Video of lecture to be added</a>
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<!-- o <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2024/NotesFebruary7.pdf" target="_blank">Whiteboard notes</a> --></li>
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<!-- o <a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/HandWrittenNotes/2025/NotesFebruary12.pdf" target="_blank">Whiteboard notes</a> --></li>
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</ol>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="gates-the-whys-and-hows">Gates, the whys and hows </h2>
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<li> These unitary transformations are then represented as gates. Setting gates together gives us a final circuit which can represent a specific physical system</li>
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</ol>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="mathematical-background">Mathematical background </h2>
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<h2 id="part-1-mathematical-background">Part 1: Mathematical background </h2>
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<p>The time-dependent Schr\"odinger equation (or equation of motion) reads</p>
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$$
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="specific-realizations-and-famous-gates">Specific realizations and famous gates </h2>
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<h2 id="part-2-specific-realizations-and-famous-gates">Part 2: Specific realizations and famous gates </h2>
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<p>This part is not yet ready and will be part of the whiteboard notes.
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I will try to get it ready by the end of Tuesday, Feb 11
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</p>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="quantum-gates-circuits-and-simple-algorithms-parts-from-last-week">Quantum gates, circuits and simple algorithms (parts from last week) </h2>
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<h2 id="part-3-fanous-quantum-gates-circuits-and-simple-algorithms-parts-from-last-week">Part 3: Fanous Quantum gates, circuits and simple algorithms (parts from last week) </h2>
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<p>Quantum gates are physical actions that are applied to the physical
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system representing the qubits. Mathematically, they are
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