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DTSTART:20201101T020000
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UID:calendar.1524849.field_date.0@mathpicture.fas.harvard.edu
DTSTAMP:20230205T070753Z
DESCRIPTION:\n \n\n\n\n Location: \;Zoom \;https://harvard.zoom.us/j/
779283357 \;\n\n\n\n Time: \;Tuesday\, September 8\, 2020\, \;1
0:00 AM (Eastern US)\, 16:00 (Central Europe)\, 22:00 (China)\n\n\n\n Title
: \;Discriminating Between Unitary Quantum Processes\n\n\n\n Abstract:&
nbsp\;Discriminating between unknown objects in a given set is a fundament
al task in experimental science. Suppose you are given a quantum system wh
ich 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 woul
d allow you to discriminate between the two possible states. It is known t
hat unless the two states are mutually orthogonal\, perfect discrimination
is possible only if you are given arbitrarily many identical copies of th
e state.\n\n\n\n In this talk we consider the task of discriminating betwee
n quantum processes\, instead of quantum states. In particular\, we discri
minate between a pair of unitary operators acting on a quantum system whos
e underlying Hilbert space is possibly infinite-dimensional. We prove that
in contrast to state discrimination\, one needs only a finite number of c
opies to discriminate perfectly between the two unitaries. Furthermore\, n
o entanglement is needed in the discrimination task. The measure of discri
mination 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-Ha
usdorff Theorem in convex analysis. Moreover\, we employ our results to st
udy a novel type of quantum speed limits which apply to pairs of quantum e
volutions. This work was done jointly with Simon Becker (Cambridge)\, Ludo
vico Lami (Ulm) and Cambyse Rouze (Munich).\n\n\n\n \;\n\n\n\n Addition
al Ways to JoinJoin by telephone (use any number to dial in) \; \
; \; \; +1 929 436 2866 \; \; \; \; +1 312 62
6 6799 \; \; \; \; +1 669 900 6833 \; \;
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able: \;https://harvard.zoom.us/u/aclg6kOggb\n\n\n\n One tap mobile: +1
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nference room systemMeeting ID: 779 283 357779283357@zoomcrc.com\n\n\n\n At
tachments\n\n\n\n
DTSTART;TZID=America/New_York:20200908T100000
DTEND;TZID=America/New_York:20200908T100000
LAST-MODIFIED:20200813T150341Z
LOCATION:Zoom
SUMMARY:Online: Seminar\, Nilanjana Datta (University of Cambridge)\, Discr
iminating Between Unitary Quantum Processes
URL;TYPE=URI:https://mathpicture.fas.harvard.edu/event/online-seminar-nilan
jana-datta-university-cambridge-discriminating-between-unitary
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