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‎doc/pub/week2/html/week2-bs.html‎

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<body>
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<!-- navigation toc: --> <li><a href="#ex2-hadamard-and-phase-gates" style="font-size: 80%;">Ex2: Hadamard and Phase gates</a></li>
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<!-- navigation toc: --> <li><a href="#ex3-traces-of-operators" style="font-size: 80%;">Ex3: Traces of operators</a></li>
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<!-- navigation toc: --> <li><a href="#ex4-exponentiated-operators" style="font-size: 80%;">Ex4: Exponentiated operators</a></li>
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<!-- navigation toc: --> <li><a href="#the-next-lecture" style="font-size: 80%;">The next lecture</a></li>
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<!-- navigation toc: --> <li><a href="#ex5-reduced-density-operators-i" style="font-size: 80%;">Ex5: Reduced density operators I</a></li>
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<!-- navigation toc: --> <li><a href="#ex6-reduced-density-operators-ii" style="font-size: 80%;">Ex6: Reduced density operators II</a></li>
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<!-- navigation toc: --> <li><a href="#the-next-lecture-february-5-2025" style="font-size: 80%;">The next lecture, February 5, 2025</a></li>
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</ul>
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</li>
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<p>Does this apply to the Pauli matrices?</p>
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<!-- !split -->
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<h2 id="the-next-lecture" class="anchor">The next lecture </h2>
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<h2 id="ex5-reduced-density-operators-i" class="anchor">Ex5: Reduced density operators I </h2>
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<p>For each of the Bell states, find the reduced density operator/matrix for each qubit.</p>
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<!-- !split -->
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<h2 id="ex6-reduced-density-operators-ii" class="anchor">Ex6: Reduced density operators II </h2>
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<p>Suppose we have a composite system which consists of systems \( A \) and
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\( B \) in the state \( \vert a\rangle \otimes \vert b\rangle \), where \( \vert
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a\rangle \) is a pure state of system \( A \) and \( \vert b\rangle \) is a
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pure state of system \( B \). Show that the reduced density operator of
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system \( A \) alone is a pure state. What about system \( B \)?
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</p>
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<!-- !split -->
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<h2 id="the-next-lecture-february-5-2025" class="anchor">The next lecture, February 5, 2025 </h2>
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<p>In our next lecture, we will discuss</p>
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<ol>
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<li> Discussion of ntropy and entanglement</li>
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<li> Discussion of entropy and entanglement</li>
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<li> Gates and circuits and how to perform operations on states</li>
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</ol>
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<a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/Textbooks/Programming/chapter2.pdf" target="_self">Reading: Chapters 2.1-2.11 of Hundt's text</a>

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

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</section>
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<section>
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<h2 id="the-next-lecture">The next lecture </h2>
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<h2 id="ex5-reduced-density-operators-i">Ex5: Reduced density operators I </h2>
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<p>For each of the Bell states, find the reduced density operator/matrix for each qubit.</p>
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</section>
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<section>
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<h2 id="ex6-reduced-density-operators-ii">Ex6: Reduced density operators II </h2>
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<p>Suppose we have a composite system which consists of systems \( A \) and
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\( B \) in the state \( \vert a\rangle \otimes \vert b\rangle \), where \( \vert
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a\rangle \) is a pure state of system \( A \) and \( \vert b\rangle \) is a
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pure state of system \( B \). Show that the reduced density operator of
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system \( A \) alone is a pure state. What about system \( B \)?
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</p>
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</section>
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<section>
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<h2 id="the-next-lecture-february-5-2025">The next lecture, February 5, 2025 </h2>
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<p>In our next lecture, we will discuss</p>
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<ol>
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<p><li> Discussion of ntropy and entanglement</li>
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<p><li> Discussion of entropy and entanglement</li>
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<p><li> Gates and circuits and how to perform operations on states</li>
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</ol>
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<p>

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

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<body>
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<p>Does this apply to the Pauli matrices?</p>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="the-next-lecture">The next lecture </h2>
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<h2 id="ex5-reduced-density-operators-i">Ex5: Reduced density operators I </h2>
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<p>For each of the Bell states, find the reduced density operator/matrix for each qubit.</p>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="ex6-reduced-density-operators-ii">Ex6: Reduced density operators II </h2>
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<p>Suppose we have a composite system which consists of systems \( A \) and
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\( B \) in the state \( \vert a\rangle \otimes \vert b\rangle \), where \( \vert
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a\rangle \) is a pure state of system \( A \) and \( \vert b\rangle \) is a
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pure state of system \( B \). Show that the reduced density operator of
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system \( A \) alone is a pure state. What about system \( B \)?
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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="the-next-lecture-february-5-2025">The next lecture, February 5, 2025 </h2>
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<p>In our next lecture, we will discuss</p>
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<ol>
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<li> Discussion of ntropy and entanglement</li>
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<li> Discussion of entropy and entanglement</li>
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<li> Gates and circuits and how to perform operations on states</li>
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</ol>
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<a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/Textbooks/Programming/chapter2.pdf" target="_blank">Reading: Chapters 2.1-2.11 of Hundt's text</a>

‎doc/pub/week2/html/week2.html‎

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<body>
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<p>Does this apply to the Pauli matrices?</p>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="the-next-lecture">The next lecture </h2>
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<h2 id="ex5-reduced-density-operators-i">Ex5: Reduced density operators I </h2>
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<p>For each of the Bell states, find the reduced density operator/matrix for each qubit.</p>
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<!-- !split --><br><br><br><br><br><br><br><br><br><br>
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<h2 id="ex6-reduced-density-operators-ii">Ex6: Reduced density operators II </h2>
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<p>Suppose we have a composite system which consists of systems \( A \) and
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\( B \) in the state \( \vert a\rangle \otimes \vert b\rangle \), where \( \vert
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a\rangle \) is a pure state of system \( A \) and \( \vert b\rangle \) is a
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pure state of system \( B \). Show that the reduced density operator of
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system \( A \) alone is a pure state. What about system \( B \)?
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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="the-next-lecture-february-5-2025">The next lecture, February 5, 2025 </h2>
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<p>In our next lecture, we will discuss</p>
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<ol>
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<li> Discussion of ntropy and entanglement</li>
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<li> Discussion of entropy and entanglement</li>
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<li> Gates and circuits and how to perform operations on states</li>
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</ol>
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<a href="https://github.com/CompPhysics/QuantumComputingMachineLearning/blob/gh-pages/doc/Textbooks/Programming/chapter2.pdf" target="_blank">Reading: Chapters 2.1-2.11 of Hundt's text</a>

‎doc/pub/week2/ipynb/ipynb-week2-src.tar.gz‎

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