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

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<!-- navigation toc: --> <li><a href="#possible-ansatzes" style="font-size: 80%;">Possible ansatzes</a></li>
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<!-- navigation toc: --> <li><a href="#more-on-rotation-operators" style="font-size: 80%;">More on rotation operators</a></li>
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<!-- navigation toc: --> <li><a href="#code-example" style="font-size: 80%;">Code example</a></li>
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<!-- navigation toc: --> <li><a href="#topics-next-week" style="font-size: 80%;">Topics next week</a></li>
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<!-- navigation toc: --> <li><a href="#exercises-hamiltonians-and-project-1" style="font-size: 80%;">Exercises: Hamiltonians and project 1</a></li>
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<!-- navigation toc: --> <li><a href="#plans-for-week-5-february-16-20" style="font-size: 80%;">Plans for week 5, February 16-20</a></li>
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<!-- navigation toc: --> <li><a href="#exercises-and-tasks-for-next-week-hamiltonians-and-project-1" style="font-size: 80%;">Exercises and tasks for next week: Hamiltonians and project 1</a></li>
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<!-- navigation toc: --> <li><a href="#rewriting-in-terms-of-pauli-matrices" style="font-size: 80%;">Rewriting in terms of Pauli matrices</a></li>
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<!-- navigation toc: --> <li><a href="#the-interaction-part" style="font-size: 80%;">The interaction part</a></li>
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<!-- navigation toc: --> <li><a href="#measurement-basis" style="font-size: 80%;">Measurement basis</a></li>
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<ol>
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<li> Reminder from last week on Entanglement, entropy and density matrices</li>
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<li> One-qubit and two-qubit gates, background and realizations</li>
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<li> One-qubit and two-qubit gates, background and realizations, see also PDF file URL:""</li>
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<li> Simple Hamiltonian systems and start discussion of project 1</li>
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<li> Introduction to qiskit (for exercise sessions).
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<!-- o <a href="https://youtu.be/UcfOVvFyw2E" target="_self">Video of lecture</a> -->
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</p>
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<!-- !split -->
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<h2 id="topics-next-week" class="anchor">Topics next week </h2>
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<h2 id="plans-for-week-5-february-16-20" class="anchor">Plans for week 5, February 16-20 </h2>
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<ol>
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<li> We will extend the above one-qubit Hamiltonian to a two-qubit problem and analyze how we can set up its simulation</li>
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<li> Before we introduce the Variational Quantum Eigensolver (VQE), we need to discuss entropy as a measure of entanglement</li>
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<li> If we get time, we start our discussion of the VQE algorithm</li>
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<li> Thereafter we will focus on the variational quantum eigensolver for simulating the Hamiltonian systems discussed in exercises a-d) of project 1.</li>
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<li> For the exercises next week, we will focus on discussions of parts a-d) of project 1. See also the exercises here.</li>
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</ol>
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<!-- !split -->
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<h2 id="exercises-hamiltonians-and-project-1" class="anchor">Exercises: Hamiltonians and project 1 </h2>
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<h2 id="exercises-and-tasks-for-next-week-hamiltonians-and-project-1" class="anchor">Exercises and tasks for next week: Hamiltonians and project 1 </h2>
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<p>As an initial test, we consider a simple \( 2\times 2 \) real
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Hamiltonian consisting of a diagonal part \( H_0 \) and off-diagonal part

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

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<ol>
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<p><li> Reminder from last week on Entanglement, entropy and density matrices</li>
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<p><li> One-qubit and two-qubit gates, background and realizations</li>
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<p><li> One-qubit and two-qubit gates, background and realizations, see also PDF file URL:""</li>
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<p><li> Simple Hamiltonian systems and start discussion of project 1</li>
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<p><li> Introduction to qiskit (for exercise sessions).
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<!-- o <a href="https://youtu.be/UcfOVvFyw2E" target="_blank">Video of lecture</a> -->
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</section>
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<section>
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<h2 id="topics-next-week">Topics next week </h2>
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<h2 id="plans-for-week-5-february-16-20">Plans for week 5, February 16-20 </h2>
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<ol>
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<p><li> We will extend the above one-qubit Hamiltonian to a two-qubit problem and analyze how we can set up its simulation</li>
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<p><li> Before we introduce the Variational Quantum Eigensolver (VQE), we need to discuss entropy as a measure of entanglement</li>
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<p><li> If we get time, we start our discussion of the VQE algorithm</li>
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<p><li> Thereafter we will focus on the variational quantum eigensolver for simulating the Hamiltonian systems discussed in exercises a-d) of project 1.</li>
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<p><li> For the exercises next week, we will focus on discussions of parts a-d) of project 1. See also the exercises here.</li>
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</section>
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<section>
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<h2 id="exercises-hamiltonians-and-project-1">Exercises: Hamiltonians and project 1 </h2>
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<h2 id="exercises-and-tasks-for-next-week-hamiltonians-and-project-1">Exercises and tasks for next week: Hamiltonians and project 1 </h2>
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<p>As an initial test, we consider a simple \( 2\times 2 \) real
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doc/pub/week4/html/week4-solarized.html

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<li> Reminder from last week on Entanglement, entropy and density matrices</li>
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<li> One-qubit and two-qubit gates, background and realizations</li>
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<li> One-qubit and two-qubit gates, background and realizations, see also PDF file URL:""</li>
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<li> Simple Hamiltonian systems and start discussion of project 1</li>
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<li> Introduction to qiskit (for exercise sessions).
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<!-- o <a href="https://youtu.be/UcfOVvFyw2E" target="_blank">Video of lecture</a> -->
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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="topics-next-week">Topics next week </h2>
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<h2 id="plans-for-week-5-february-16-20">Plans for week 5, February 16-20 </h2>
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<ol>
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<li> We will extend the above one-qubit Hamiltonian to a two-qubit problem and analyze how we can set up its simulation</li>
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<li> Before we introduce the Variational Quantum Eigensolver (VQE), we need to discuss entropy as a measure of entanglement</li>
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<li> If we get time, we start our discussion of the VQE algorithm</li>
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<li> Thereafter we will focus on the variational quantum eigensolver for simulating the Hamiltonian systems discussed in exercises a-d) of project 1.</li>
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<li> For the exercises next week, we will focus on discussions of parts a-d) of project 1. See also the exercises here.</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="exercises-hamiltonians-and-project-1">Exercises: Hamiltonians and project 1 </h2>
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<h2 id="exercises-and-tasks-for-next-week-hamiltonians-and-project-1">Exercises and tasks for next week: Hamiltonians and project 1 </h2>
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<p>As an initial test, we consider a simple \( 2\times 2 \) real
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doc/pub/week4/html/week4.html

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<ol>
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<li> Reminder from last week on Entanglement, entropy and density matrices</li>
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<li> One-qubit and two-qubit gates, background and realizations</li>
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<li> One-qubit and two-qubit gates, background and realizations, see also PDF file URL:""</li>
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<li> Simple Hamiltonian systems and start discussion of project 1</li>
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<li> Introduction to qiskit (for exercise sessions).
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<!-- o <a href="https://youtu.be/UcfOVvFyw2E" target="_blank">Video of lecture</a> -->
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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="topics-next-week">Topics next week </h2>
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<h2 id="plans-for-week-5-february-16-20">Plans for week 5, February 16-20 </h2>
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<ol>
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<li> We will extend the above one-qubit Hamiltonian to a two-qubit problem and analyze how we can set up its simulation</li>
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<li> Before we introduce the Variational Quantum Eigensolver (VQE), we need to discuss entropy as a measure of entanglement</li>
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<li> If we get time, we start our discussion of the VQE algorithm</li>
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<li> Thereafter we will focus on the variational quantum eigensolver for simulating the Hamiltonian systems discussed in exercises a-d) of project 1.</li>
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<li> For the exercises next week, we will focus on discussions of parts a-d) of project 1. See also the exercises here.</li>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="exercises-hamiltonians-and-project-1">Exercises: Hamiltonians and project 1 </h2>
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<h2 id="exercises-and-tasks-for-next-week-hamiltonians-and-project-1">Exercises and tasks for next week: Hamiltonians and project 1 </h2>
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<p>As an initial test, we consider a simple \( 2\times 2 \) real
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Hamiltonian consisting of a diagonal part \( H_0 \) and off-diagonal part
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