Bofill i Villà, Josep M.Sanz, Ángel S.Albareda, GuillermoMoreira, Ibério de Pinho RibeiroQuapp, Wolfgang2021-07-212021-07-212020-09-252643-1564https://hdl.handle.net/2445/179284A solution to the quantum Zermelo problem for control Hamiltonians with general energy resource bounds is provided. Interestingly, the energy resource of the control Hamiltonian and the control time define a pair of conjugate variables that minimize the energy-time uncertainty relation. The resulting control protocol is applied to a single qubit as well as to a two-interacting qubit system represented by a Heisenberg spin dimer. For these low-dimensional systems, it is found that physically realizable control Hamiltonians exist only for certain quantized energy resources11 p.application/pdfengcc-by (c) Bofill i Villà, Josep M. et al., 2020https://creativecommons.org/licenses/by/4.0/Teoria quànticaQuantum theoryinfo:eu-repo/semantics/article7059472021-07-21info:eu-repo/semantics/openAccess