A LONE code for the sparse control of quantum systems

作者：Ciaramella G; Borzi A^*

来源：Computer Physics Communications, 2016, 200: 312-323.

DOI：10.1016/j.cpc.2015.10.028

• Quantum spin systems
• Liouville-von Neumann master equation
• Schrodinger equation
• Nonsmooth optimization
• Optimal control theory
• Sparsity
• Semi-smooth Newton scheme

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 L-1-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 summary
Program title: LONE
Catalogue identifier: AEYV_v1_0
Program summary URL: http://cpc.cs.qub.ac.uk/summaries/AEYV_v1_0.html
Program obtainable from: CPC Program Library, Queen's University, Belfast, N. Ireland
Licensing provisions: Standard CPC licence, http://cpc.cs.qub.ac.uk/licence/licence.html
No. of lines in distributed program, including test data, etc.: 1683
No. of bytes in distributed program, including test data, etc.: 8654
Distribution format: tar.gz
Programming language: MATLAB - (OCTAVE).
Computer: Any capable of running MATLAB or OCTAVE.
Operating system: Any capable of running MATLAB or OCTAVE.
RAM: Bytes
Classification: 4.9.
External routines: gmres MATLAB routine
Nature of problem: A semi-smooth Newton scheme for solving quantum spin-1/2 sparse optimal control problems.

• 出版日期2016-3