Year: 2020
Type: article
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.
Source: Physical Review Research
Authors: Josep Maria Bofill, Ángel S. Sanz, Guillermo Albareda, Ibério de P. R. Moreira, Wolfgang Quapp
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,625
Awards: G141080459, G2426073680, G2737261143, G2888564468, G3162359410, G3288897321, G434337789, G435901620, G5666931810, G5877241601, G6268425849, G6517558452, G7425137858, Quantum Dynamics Beyond the Born-Oppenheimer Picture: Making the most of wave function and trajectory-based approaches, G7936031702, G8499118313, G8684520763, G8751362616
OpenAlex ID: W3025589703