Algorithms for Quantum Control without Discontinuities; Application to the Simultaneous Control of two Qubits
Abstract
We propose a technique to design control algorithms for a class of finite dimensional quantum systems so that the control law does not present discontinuities. The class of models considered admits a group of symmetries which allows us to reduce the problem of control to a quotient space where the control system is `fully actuated'. As a result we can prescribe a desired trajectory which is, to some extent, arbitrary and derive the corresponding control. We discuss the application to the simultaneous control of two non-interacting spin 1/2 particles with different gyromagnetic ratios in zero field NMR in detail. Our method provides a flexible toolbox for the design of control algorithms to drive the state of finite dimensional quantum systems to any desired final configuration with smooth controls.
Cite
@article{arxiv.1904.12067,
title = {Algorithms for Quantum Control without Discontinuities; Application to the Simultaneous Control of two Qubits},
author = {Domenico D'Alessandro and Benjamin Sheller},
journal= {arXiv preprint arXiv:1904.12067},
year = {2019}
}