Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/36207
Title: An alternative steepest direction method for the optimization in evaluating geometric discord
Authors: Wang, YJ
Qi, LQ 
Luo, SL
Xu, Y
Keywords: Geometric discord
Unitary matrix constraints
Geodesic
Steepest direction method
Issue Date: 2014
Publisher: Yokohama Publishers
Source: Pacific journal of optimization, 2014, v. 10, no. 1, p. 137-149 How to cite?
Journal: Pacific journal of optimization 
Abstract: We address the evaluation of geometric discord of bipartite quantum states arising from quantum information theory. The problem corresponds to finding the best approximation of the orthogonal decomposition of a partially Hermite fourth-order tensor. By discussing the optimality condition of the problem, we reduce it to a homogenous polynomial optimization problem on the product of two unitary matrices. Based on the Riemannian manifold and Lie group theory, we propose an alternative steepest direction method for the problem. Numerical experiments show the efficiency of the method.
URI: http://hdl.handle.net/10397/36207
ISSN: 1348-9151 (print)
1349-8169 (online)
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