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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Optimal Pulse Design in Quantum Control: An Ensemb
le Control Perspective - Li\, J-S (Washington Univ
ersity in St. Louis)
DTSTART;TZID=Europe/London:20140804T133000
DTEND;TZID=Europe/London:20140804T141000
UID:TALK53578AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/53578
DESCRIPTION:Designing and implementing time-varying electromag
netic pulses to manipulate the time-evolution of a
large quantum ensemble is a long-standing problem
in quantum control and an indispensable step that
enables many cutting-edge quantum technologies. I
n practice\, such pulse designs are made significa
ntly more challenging because the values of parame
ters that characterize the dynamics of the quantum
ensemble may show variation\, so that the system
Hamiltonian is not uniform over the ensemble. For
example\, nuclear magnetic resonance applications
often suffer from imperfections such as inhomogene
ity in the static magnetic field and in the applie
d radio-frequency field\, variation in the dissipa
tion rates of spins as well as dispersion in their
Larmor frequency due to chemical shifts. A good p
ulse design strategy must be robust to these effec
ts\, and such variations need to be considered in
the modeling and pulse design stages in order for
theoretical predictions to match experimental outc
omes. \n\nIn this talk\, ensemble control-theoreti
c approaches for optimal pulse design in quantum c
ontrol will be introduced. A new method that integ
rates Lie algebras with polynomial approximation f
or analyzing controllability of spin ensemble syst
ems will be presented. In addition\, robust comput
ational methods for optimal pulse synthesis will a
lso be presented\, which include a unified computa
tional method based on multidimensional pseudospec
tral approximations and an optimization-free itera
tive algorithm based on the singular value decompo
sition. Commonly used pulses in various fields of
quantum control developed by these computational m
ethods will be illustrated\, and\, moreover\, expe
rimental realizations of these optimal pulses will
be shown to demonstrate the robustness and applic
ability of these newly developed methods. \n\n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:Mustapha Amrani
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