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SUMMARY:Optimal Pulse Design in Quantum Control: An Ensemble Control Persp
 ective - Li\, J-S (Washington University in St. Louis)
DTSTART:20140804T123000Z
DTEND:20140804T131000Z
UID:TALK53578@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:Designing and implementing time-varying electromagnetic pulses
  to manipulate the time-evolution of a large quantum ensemble is a long-st
 anding problem in quantum control and an indispensable step that enables m
 any cutting-edge quantum technologies. In practice\, such pulse designs ar
 e made significantly more challenging because the values of parameters tha
 t characterize the dynamics of the quantum ensemble may show variation\, s
 o that the system Hamiltonian is not uniform over the ensemble. For exampl
 e\, nuclear magnetic resonance applications often suffer from imperfection
 s such as inhomogeneity in the static magnetic field and in the applied ra
 dio-frequency field\, variation in the dissipation rates of spins as well 
 as dispersion in their Larmor frequency due to chemical shifts. A good pul
 se design strategy must be robust to these effects\, and such variations n
 eed to be considered in the modeling and pulse design stages in order for 
 theoretical predictions to match experimental outcomes. \n\nIn this talk\,
  ensemble control-theoretic approaches for optimal pulse design in quantum
  control will be introduced. A new method that integrates Lie algebras wit
 h polynomial approximation for analyzing controllability of spin ensemble 
 systems will be presented. In addition\, robust computational methods for 
 optimal pulse synthesis will also be presented\, which include a unified c
 omputational method based on multidimensional pseudospectral approximation
 s and an optimization-free iterative algorithm based on the singular value
  decomposition. Commonly used pulses in various fields of quantum control 
 developed by these computational methods will be illustrated\, and\, moreo
 ver\, experimental realizations of these optimal pulses will be shown to d
 emonstrate the robustness and applicability of these newly developed metho
 ds. \n\n
LOCATION:Seminar Room 1\, Newton Institute
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