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Journal Article

Quantum Zermelo problem for general energy resource bounds


Albareda Piquer,  G.
Theory Group, Theory Department, Max Planck Institute for the Structure and Dynamics of Matter, Max Planck Society;
Center for Free-Electron Laser Science;
Institut de Quìmica Teòrica i Computacional (IQTCUB), Universitat de Barcelona;

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Bofill, J. M., Sanz, A. S., Albareda Piquer, G., Moreira, I. P. R., & Quapp, W. (2020). Quantum Zermelo problem for general energy resource bounds. Physical Review Research, 2(3): 033492. doi:10.1103/PhysRevResearch.2.033492.

Cite as: http://hdl.handle.net/21.11116/0000-0007-4075-D
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.