Journal
COMPUTER PHYSICS COMMUNICATIONS
Volume 190, Issue -, Pages 213-223Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.cpc.2015.01.006
Keywords
Quantum systems; Optimal control theory; Optimality conditions; Semismooth Newton scheme; Pointwise control constraint
Funding
- Deutsche Forschungsgemeinschaft (DFG) project Controllability and Optimal Control of Interacting Quantum Dynamical Systems (COCIQS)
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The modeling and control of Ising spin systems is of fundamental importance in NMR spectroscopy applications. In this paper, two computer packages, ReHaG and SKRYN, are presented. Their purpose is to set-up and solve quantum optimal control problems governed by the Liouville master equation modeling Ising spin-1/2 systems with pointwise control constraints. In particular, the MATLAB package ReHaG allows to compute a real matrix representation of the master equation. The MATLAB package SKRYN implements a new strategy resulting in a globalized semismooth matrix-free Krylov-Newton scheme. To discretize the real representation of the Liouville master equation, a norm-preserving modified Crank-Nicolson scheme is used. Results of numerical experiments demonstrate that the SKRYN code is able to provide fast and accurate solutions to the Ising spin quantum optimization problem.
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