Optimal Control of Superconducting N-level quantum systems
Abstract
We consider a current-biased dc SQUID in the presence of an applied time-dependent bias current or magnetic flux. The phase dynamics of such a Josephson device is equivalent to that of a quantum particle trapped in a D anharmonic potential, subject to external time-dependent control fields, {\it i.e.} a driven multilevel quantum system. The problem of finding the required time-dependent control field that will steer the system from a given initial state to a desired final state at a specified final time is formulated in the framework of optimal control theory. Using the spectral filter technique, we show that the selected optimal field which induces a coherent population transfer between quantum states is represented by a carrier signal having a constant frequency but which is time-varied both in amplitude and phase. The sensitivity of the optimal solution to parameter perturbations is also addressed.
Keywords
Cite
@article{arxiv.0903.4028,
title = {Optimal Control of Superconducting N-level quantum systems},
author = {H. Jirari and F. W. J. Hekking and O. Buisson},
journal= {arXiv preprint arXiv:0903.4028},
year = {2015}
}