Madigoe, RJBotha, LRUys, HRohwer, EGSmit, A2012-10-292012-10-292012-10Madigoe, RJ, Botha, LR, Uys, H, Rohwer, EG and Smit, A. Topology of the landscape of optimally controlled transitions in a multilevel system. 4th CSIR Biennial Conference: Real problems relevant solutions, CSIR, Pretoria, 9-10 October 2012http://hdl.handle.net/10204/62394th CSIR Biennial Conference: Real problems relevant solutions, CSIR, Pretoria, 9-10 October 2012According to a theoretical analysis, the control landscape of many quantum control problems has a very favourable topology regardless of the detailed nature of the Hamiltonian, provided that one has full control of the system. It is obvious that full control is not possible in a practical experiment and this study will investigate the influence of experimental and other limitations on the control landscape. Depending on the outcome of the investigation, the applicability of various optimisation techniques will be investigated. In particular, gradient-based optimisation techniques will be investigated and their results will be compared with the results obtained by the more traditional (in the sense of quantum control schemes) genetic type optimisation techniques.enBeam shapingControl landscapeSimulated annealing methodSA methodTrappingAdaptive feedback controlPulsesOptimisation techniquesConference PresentationMadigoe, R., Botha, L., Uys, H., Rohwer, E., & Smit, A. (2012). Topology of the landscape of optimally controlled transitions in a multilevel system. http://hdl.handle.net/10204/6239Madigoe, RJ, LR Botha, H Uys, EG Rohwer, and A Smit. "Topology of the landscape of optimally controlled transitions in a multilevel system." (2012): http://hdl.handle.net/10204/6239Madigoe R, Botha L, Uys H, Rohwer E, Smit A, Topology of the landscape of optimally controlled transitions in a multilevel system; 2012. http://hdl.handle.net/10204/6239 .TY - Conference Presentation AU - Madigoe, RJ AU - Botha, LR AU - Uys, H AU - Rohwer, EG AU - Smit, A AB - According to a theoretical analysis, the control landscape of many quantum control problems has a very favourable topology regardless of the detailed nature of the Hamiltonian, provided that one has full control of the system. It is obvious that full control is not possible in a practical experiment and this study will investigate the influence of experimental and other limitations on the control landscape. Depending on the outcome of the investigation, the applicability of various optimisation techniques will be investigated. In particular, gradient-based optimisation techniques will be investigated and their results will be compared with the results obtained by the more traditional (in the sense of quantum control schemes) genetic type optimisation techniques. DA - 2012-10 DB - ResearchSpace DP - CSIR KW - Beam shaping KW - Control landscape KW - Simulated annealing method KW - SA method KW - Trapping KW - Adaptive feedback control KW - Pulses KW - Optimisation techniques LK - https://researchspace.csir.co.za PY - 2012 T1 - Topology of the landscape of optimally controlled transitions in a multilevel system TI - Topology of the landscape of optimally controlled transitions in a multilevel system UR - http://hdl.handle.net/10204/6239 ER -