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X-WR-CALNAME;VALUE=TEXT:Online: Seminar, Nilanjana Datta (University of Cambridge), Discriminating Between Unitary Quantum Processes
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SUMMARY:Online: Seminar, Nilanjana Datta (University of Cambridge), Discriminating Between Unitary Quantum Processes
DESCRIPTION:<p>	<drupal-media data-entity-type="media" data-entity-uuid="e2f4da36-4bda-4cc8-8001-e3bb938d4d09" alt="Nilanjana Datta" data-view-mode="hwp_small"></drupal-media></p><p>	<strong>Location: </strong>Zoom <a href="https://harvard.zoom.us/j/779283357%C2%A0">https://harvard.zoom.us/j/779283357 </a></p><p>	<strong>Time: </strong>Tuesday, September 8, 2020, 10:00 AM (Eastern US), 16:00 (Central Europe), 22:00 (China)</p><p>	<strong>Title:</strong> Discriminating Between Unitary Quantum Processes</p><p>	<strong>Abstract: </strong>Discriminating between unknown objects in a given set is a fundamental task in experimental science. Suppose you are given a quantum system which is in one of two given states with equal probability. Determining the actual state of the system amounts to doing a measurement on it which would allow you to discriminate between the two possible states. It is known that unless the two states are mutually orthogonal, perfect discrimination is possible only if you are given arbitrarily many identical copies of the state.</p><p>	In this talk we consider the task of discriminating between quantum processes, instead of quantum states. In particular, we discriminate between a pair of unitary operators acting on a quantum system whose underlying Hilbert space is possibly infinite-dimensional. We prove that in contrast to state discrimination, one needs only a finite number of copies to discriminate perfectly between the two unitaries. Furthermore, no entanglement is needed in the discrimination task. The measure of discrimination is given in terms of the energy-constrained diamond norm and one of the key ingredients of the proof is a generalization of the Toeplitz-Hausdorff Theorem in convex analysis. Moreover, we employ our results to study a novel type of quantum speed limits which apply to pairs of quantum evolutions. This work was done jointly with Simon Becker (Cambridge), Ludovico Lami (Ulm) and Cambyse Rouze (Munich).</p><p>	 </p><p>	<strong>Additional Ways to Join</strong><br>Join by telephone (use any number to dial in)<br>        +1 929 436 2866<br>        +1 312 626 6799<br>        +1 669 900 6833<br>        400 669 9381 China Toll-free</p><p>	International numbers available: <a href="https://harvard.zoom.us/u/aclg6kOggb">https://harvar</a><a href="https://harvard.zoom.us/u/aclg6kOggb">d.zoom.us/u/aclg6kOggb</a></p><p>	One tap mobile: +19294362866,,779283357# US (New York)<br>    <br>Join by SIP conference room system<br>Meeting ID: 779 283 357<br><a href="mailto:779283357@zoomcrc.com">779283357@zoomcrc.com</a></p><p>	<strong>Attachments</strong></p>
LOCATION:Zoom
STATUS:CONFIRMED
DTSTART:20200908T140000Z
DTEND:20200908T140000Z
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