Computing geometric measure of entanglement for symmetric pure states via the Jacobian SDP relaxation technique
type: Item
instance of: scholarly article
title: Computing geometric measure of entanglement for symmetric pure states via the Jacobian SDP relaxation technique
zbMATH Open document ID: 1371.65033
author: Bing Hua
author: Guyan Ni
author: Meng-Shi Zhang
published in: Journal of the Operations Research Society of China
publication date: 2017-08-25T00:00:00Z
Mathematics Subject Classification ID: 65F15
Mathematics Subject Classification ID: 81P40
Mathematics Subject Classification ID: 15A69
Mathematics Subject Classification ID: 65K05
Mathematics Subject Classification ID: 90C22
zbMATH DE Number: 6764696
zbMATH Keywords: symmetric tensors
zbMATH Keywords: polynomial optimization
zbMATH Keywords: geometric measure
zbMATH Keywords: quantum entanglement
zbMATH Keywords: semidefinite programming (SDP)
zbMATH Keywords: unitary symmetric eigenvalue
zbMATH Keywords: numerical examples
describes a project that uses: SeDuMi
describes a project that uses: GloptiPoly
MaRDI profile type: Publication
full work available at URL: s40305-016-0135-1
OpenAlex ID: W2522285031
cites work: Tensor Decompositions and Applications
cites work: On the Best Rank-1 and Rank-(R1 ,R2 ,. . .,RN) Approximation of Higher-Order Tensors
cites work: Rank-one approximation to high order tensors
cites work: On the best rank-1 approximation of higher-order supersymmetric tensors
cites work: On the best rank-1 approximation to higher-order symmetric tensors
cites work: Eigenvalues of a real supersymmetric tensor
cites work: Shifted Power Method for Computing Tensor Eigenpairs
cites work: Geometric measure of entanglement and U-eigenvalues of tensors
cites work: On motivating the Mitchell-Todd modification of Karmarkar's algorithm for LP problems with free variables
cites work: Spherical optimization with complex variables for computing US-eigenpairs
cites work: Z-eigenvalue methods for a global polynomial optimization problem
cites work: Finding the extreme Z-eigenvalues of tensors via a sequential semidefinite programming method
cites work: All Real Eigenvalues of Symmetric Tensors
cites work: The Best Rank-1 Approximation of a Symmetric Tensor and Related Spherical Optimization Problems
cites work: An unconstrained optimization approach for finding real eigenvalues of even order symmetric tensors
cites work: An exact Jacobian SDP relaxation for polynomial optimization
cites work: The hierarchy of local minimums in polynomial optimization
cites work: Global optimization with polynomials and the problem of moments
cites work: GloptiPoly 3: moments, optimization and semidefinite programming
cites work: Using SeDuMi 1.02, A Matlab toolbox for optimization over symmetric cones
DOI: 10.1007/S40305-016-0135-1
description: scientific article; zbMATH DE number 6764696