Quantum Zermelo problem for general energy resource bounds
Quantum Physics
2020-09-29 v3
Abstract
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.
Cite
@article{arxiv.2005.07304,
title = {Quantum Zermelo problem for general energy resource bounds},
author = {J. M. Bofill and A. S. Sanz and G. Albareda and I. P. R. Moreira and W. Quapp},
journal= {arXiv preprint arXiv:2005.07304},
year = {2020}
}
Comments
13 pages, 1 figure