A LONE code for the sparse control of quantum systems

Abstract

In many applications with quantum spin systems, control functions with a sparse and pulse-shaped structure are often required. These controls can be obtained by solving quantum optimal control problems with L1-penalized cost functionals. In this paper, the MATLAB package LONE is presented aimed to solving L1-penalized optimal control problems governed by unitary-operator quantum spin models. This package implements a new strategy that includes a globalized semi-smooth Krylov–Newton scheme and a continuation procedure. Results of numerical experiments demonstrate the ability of the LONE code in computing accurate sparse optimal control solutions. Program summaryProgram title: LONECatalogue identifier: AEYV_v1_0Program summary URL:http://cpc.cs.qub.ac.uk/summaries/AEYV_v1_0.htmlProgram obtainable from: CPC Program Library, Queen’s University, Belfast, N. IrelandLicensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.htmlNo. of lines in distributed program, including test data, etc.: 1683No. of bytes in distributed program, including test data, etc.: 8654Distribution format: tar.gzProgramming language: MATLAB - (OCTAVE).Computer: Any capable of running MATLAB or OCTAVE.Operating system: Any capable of running MATLAB or OCTAVE.RAM: BytesClassification: 4.9.External routines: gmres MATLAB routineNature of problem: A semi-smooth Newton scheme for solving quantum spin-12 sparse optimal control problems.Solution method: Full-complex semi-smooth Newton method and continuation techniquesRunning time: 60–600 sec