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Quantum Zermelo problem for general energy resource bounds Bofill i Villà, Josep M. Sanz, Ángel S. Albareda, Guillermo Moreira, Ibério de Pinho Ribeiro Quapp, Wolfgang Teoria quàntica Quantum theory A 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 resources 2021-07-21T13:15:53Z 2021-07-21T13:15:53Z 2020-09-25 2021-07-21T13:15:53Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion Reproducció del document publicat a: https://doi.org/10.1103/PhysRevResearch.2.033492 Physical Review Research, 2020, vol. 2, num. 3 https://doi.org/10.1103/PhysRevResearch.2.033492 info:eu-repo/grantAgreement/EC/H2020/752822/EU//BeBOP cc-by (c) Bofill i Villà, Josep M. et al., 2020 https://creativecommons.org/licenses/by/4.0/ info:eu-repo/semantics/openAccess American Physical Society Articles publicats en revistes (Química Inorgànica i Orgànica)