SOMIM : A program calculating maximum accessible information and the optimal POVMs
K. L. LEE, W. K. CHUA, S. Y. LOOI and B.-G. ENGLERT
Abstract
Search for Optimal Measurements using Iterative Methods(SOMIM ) is a program
that systematically calculates the maximum accessible information and the corresponding
optimal POVM given a set of quantum statistical operators. The maximization
procedure is achieved through Conjugate Gradient method and the steepest ascent
method. The gradient in the POVM space is calculated according to method proposed
in [1].
License Agreement
Search for Optimal Measurements using Iterative Methods(SOMIM), a program that can
calculate the maximum information and the corresponding optimal POVM given a set of
statistical operators. Copyright (C) 2007 K.L. Lee, W.K. Chua, S.Y. Looi and B.-G. Englert.
This program is free software: you can redistribute it and/or modify it under the terms
of the GNU General Public License Version 3 as published by the Free Software Foundation.
This program is distributed in the hope that it will be useful, but WITHOUT ANY
WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS
FOR PARTICULAR PURPOSE. See the GNU General Public License for more details.
You can refer to http://www.gnu.org/licenses/ for the GNU General Public License.
What can SOMIM be used for?
Given a set of statistical operators pi_j , SOMIM can calculate the maximum accessible information
that could be obtained from these statistical operators and the corresponding optimal
POVM. The calculation is performed using the iterative procedure proposed in [1]. The maximization
algorithms involved in the program are the Conjugate Gradient(CG) method, the
steepest ascent method and the Golden-section search method.
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References
[1] J. Rehacek, B.-G. Englert, and D. Kaszlikowski, Physical Review A 71, 054303 (2005).
Latest update: SOMIM version 1.0 03/03/2008