Inverse Engineering Control in Open Quantum Systems
Abstract
We propose a scheme for inverse engineering control in open quantum systems. Starting from an undetermined time evolution operator, a time-dependent Hamiltonian is derived in order to guide the system to attain an arbitrary target state at a predefined time. We analyze the fidelity of our control protocol under noise with respect to the stochastic fluctuation of the linear parameters of the Hamiltonian during the time evolution. For a special family of Hamiltonians for two-level systems, we show that the control evolution of the system under noise can be categorized into two standard decohering processes: dephasing and depolarization, for both Markovian and non- Markovian conditions. In particular, we illustrate our formalism by analysing the robustness of the engineered target state.
Cite
@article{arxiv.1307.0383,
title = {Inverse Engineering Control in Open Quantum Systems},
author = {Jun Jing and Lian-Ao Wu and Marcelo S. Sarandy and J. Gonzalo Muga},
journal= {arXiv preprint arXiv:1307.0383},
year = {2015}
}
Comments
5 pages, 2 figures