Quantum Zermelo problem for general energy resource bounds
Josep Maria Bofill, Ángel S. Sanz, Guillermo Albareda, Ibério de P. R. Moreira, Wolfgang Quapp · Physical Review Research · 2020
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.