https://doi.org/10.1140/epjb/e2018-90224-4
Regular Article
Dissipative quantum dynamics and optimal control using iterative time ordering: an application to superconducting qubits★
Theoretische Physik, Universität Kassel,
Heinrich-Plett-Straße 40,
34132
Kassel, Germany
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Received:
3
April
2018
Received in final form:
4
June
2018
Published online: 11
July
2018
Abstract
We combine a quantum dynamical propagator that explicitly accounts for quantum mechanical time ordering with optimal control theory. After analyzing its performance with a simple model, we apply it to a superconducting circuit under so-called Pythagorean control. Breakdown of the rotating-wave approximation is the main source of the very strong time-dependence in this example. While the propagator that accounts for the time ordering in an iterative fashion proves its numerical efficiency for the dynamics of the superconducting circuit, its performance when combined with optimal control turns out to be rather sensitive to the strength of the time-dependence. We discuss the kind of quantum gate operations that the superconducting circuit can implement including their performance bounds in terms of fidelity and speed.
Contribution to the Topical Issue “Special issue in honor of Hardy Gross”, edited by C.A. Ullrich, F.M.S. Nogueira, A. Rubio, and M.A.L. Marques.
These two authors contributed equally.
© EDP Sciences / Società Italiana di Fisica / Springer-Verlag GmbH Germany, part of Springer Nature, 2018
