https://qclab.korea.ac.kr/QCLab/index.php?action=history&feed=atom&title=Tutorial%3A_Quantum_Theory_of_Measurement 2026-04-25T18:51:04Z Revision history for this page on the wiki MediaWiki 1.45.1 https://qclab.korea.ac.kr/QCLab/index.php?title=Tutorial:_Quantum_Theory_of_Measurement&diff=2447&oldid=prev 2019-05-14T07:18:16Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 07:18, 14 May 2019</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l6">Line 6:</td> <td colspan="2" class="diff-lineno">Line 6:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Unlike in classical mechanics, measurement is highly non-trivial in quantum mechanics as one can see from the hypothesis of wave function collapse. Even more serious is the fundamental limit due to the uncertainty principle, which cannot be beat by however advanced technical instruments. In this tutorial, we introduce the basic principle and formulation of measurement in quantum mechanics, and discuss several quantum-enhanced methods for precision measurement to overcome the so-called standard quantum limit (SQL) while not violating the uncertainty principle. Examples are taken from solid-state qubit systems to illustrate the ideas of quantum non-demolition measurement (QND), the entanglement-enhanced precision measurement, the weak measurement, and so on.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Unlike in classical mechanics, measurement is highly non-trivial in quantum mechanics as one can see from the hypothesis of wave function collapse. Even more serious is the fundamental limit due to the uncertainty principle, which cannot be beat by however advanced technical instruments. In this tutorial, we introduce the basic principle and formulation of measurement in quantum mechanics, and discuss several quantum-enhanced methods for precision measurement to overcome the so-called standard quantum limit (SQL) while not violating the uncertainty principle. Examples are taken from solid-state qubit systems to illustrate the ideas of quantum non-demolition measurement (QND), the entanglement-enhanced precision measurement, the weak measurement, and so on.</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">{{Media/Button|Choi2019c.pdf|Talk slides}}</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Seminars]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Seminars]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Condensed Matter Seminars]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>[[Category:Condensed Matter Seminars]]</div></td></tr> </table>

Mahnsoo.Choi https://qclab.korea.ac.kr/QCLab/index.php?title=Tutorial:_Quantum_Theory_of_Measurement&diff=2439&oldid=prev 2019-04-28T23:26:27Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:26, 28 April 2019</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l3">Line 3:</td> <td colspan="2" class="diff-lineno">Line 3:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Date: Wednesday May 08, 2019 05:00pm</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Date: Wednesday May 08, 2019 05:00pm</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Place: Jungho Seminar Room</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Place: Jungho Seminar Room</div></td></tr> <tr><td colspan="2" class="diff-side-deleted"></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;"></ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Unlike in classical mechanics, measurement is highly non-trivial in quantum mechanics as one can see from the hypothesis of wave function collapse. Even more serious is the fundamental limit due to the uncertainty principle, which cannot be beat by however advanced technical instruments. In this tutorial, we introduce the basic principle and formulation of measurement in quantum mechanics, and discuss several quantum-enhanced methods for precision measurement to overcome the so-called standard quantum limit (SQL) while not violating the uncertainty principle. Examples are taken from solid-state qubit systems to illustrate the ideas of quantum non-demolition measurement (QND), the entanglement-enhanced precision measurement, the weak measurement, and so on.</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>Unlike in classical mechanics, measurement is highly non-trivial in quantum mechanics as one can see from the hypothesis of wave function collapse. Even more serious is the fundamental limit due to the uncertainty principle, which cannot be beat by however advanced technical instruments. In this tutorial, we introduce the basic principle and formulation of measurement in quantum mechanics, and discuss several quantum-enhanced methods for precision measurement to overcome the so-called standard quantum limit (SQL) while not violating the uncertainty principle. Examples are taken from solid-state qubit systems to illustrate the ideas of quantum non-demolition measurement (QND), the entanglement-enhanced precision measurement, the weak measurement, and so on.</div></td></tr> </table>

Mahnsoo.Choi https://qclab.korea.ac.kr/QCLab/index.php?title=Tutorial:_Quantum_Theory_of_Measurement&diff=2438&oldid=prev 2019-04-28T23:26:17Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 23:26, 28 April 2019</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l1">Line 1:</td> <td colspan="2" class="diff-lineno">Line 1:</td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div>[[file:<del style="font-weight: bold; text-decoration: none;">Nobody</del>.jpg|thumb|x300px|Prof. Choi, Mahn-Soo (Korea <del style="font-weight: bold; text-decoration: none;">Univ</del>)]]</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>[[file:<ins style="font-weight: bold; text-decoration: none;">Mahnsoo Choi-1</ins>.jpg|thumb|x300px|Prof. Choi, Mahn-Soo (Korea <ins style="font-weight: bold; text-decoration: none;">University</ins>)]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Speaker: [[Choi, Mahn-Soo|Prof. Choi, Mahn-Soo (Korea Univ)]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Speaker: [[Choi, Mahn-Soo|Prof. Choi, Mahn-Soo (Korea Univ)]]</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Date: Wednesday May 08, 2019 05:00pm</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* Date: Wednesday May 08, 2019 05:00pm</div></td></tr> </table>

Mahnsoo.Choi https://qclab.korea.ac.kr/QCLab/index.php?title=Tutorial:_Quantum_Theory_of_Measurement&diff=2437&oldid=prev 2019-04-28T23:25:42Z

<p>Created page with &quot;<a href="/QCLab/index.php?title=File:Nobody.jpg&amp;action=edit&amp;redlink=1" class="new" title="File:Nobody.jpg (page does not exist)">thumb|x300px|Prof. Choi, Mahn-Soo (Korea Univ)</a> * Speaker: <a href="/main/Choi,_Mahn-Soo" title="Choi, Mahn-Soo">Prof. Choi, Mahn-Soo (Korea Univ)</a> * Date: Wednesday May 08, 2019 05:00pm * Pla...&quot;</p> <p><b>New page</b></p><div>[[file:Nobody.jpg|thumb|x300px|Prof. Choi, Mahn-Soo (Korea Univ)]]<br /> * Speaker: [[Choi, Mahn-Soo|Prof. Choi, Mahn-Soo (Korea Univ)]]<br /> * Date: Wednesday May 08, 2019 05:00pm<br /> * Place: Jungho Seminar Room<br /> <br /> Unlike in classical mechanics, measurement is highly non-trivial in quantum mechanics as one can see from the hypothesis of wave function collapse. Even more serious is the fundamental limit due to the uncertainty principle, which cannot be beat by however advanced technical instruments. In this tutorial, we introduce the basic principle and formulation of measurement in quantum mechanics, and discuss several quantum-enhanced methods for precision measurement to overcome the so-called standard quantum limit (SQL) while not violating the uncertainty principle. Examples are taken from solid-state qubit systems to illustrate the ideas of quantum non-demolition measurement (QND), the entanglement-enhanced precision measurement, the weak measurement, and so on.<br /> <br /> [[Category:Seminars]]<br /> [[Category:Condensed Matter Seminars]]</div>

Mahnsoo.Choi