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arXiv · 2005.07304

Quantum Zermelo problem for general energy resource bounds

J. M. Bofill·A. S. Sanz·G. Albareda·I. P. R. Moreira·W. Quapp
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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.

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J. M. Bofill, A. S. Sanz, G. Albareda, I. P. R. Moreira, W. Quapp. 2020-05-15. Quantum Zermelo problem for general energy resource bounds. https://doi.org/10.1103/physrevresearch.2.033492

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