Preprint 3/2006
Hermitian Tensor Product Approximation of Complex Matrices and Separability
Shao-Ming Fei, Naihuan Jing, and Bao-Zhi Sun
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Submission date: 11. Jan. 2006 (revised version: February 2006)
Pages: 18
published in: Reports on mathematical physics, 57 (2006) 2, p. 271-288 
DOI number (of the published article): 10.1016/S0034-4877(06)80021-2
Bibtex
PACS-Numbers: 03.67.-a, 03.65.Ud, 03.65.Ta
Keywords and phrases: separability, matrix, tensor product
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Abstract:
The approximation of matrices to the sum of tensor products of
Hermitian matrices is studied. A minimum decomposition of
matrices on tensor space 
in terms of the sum of tensor
products of Hermitian matrices on 
and 
is presented.
From this construction the separability of quantum states
is discussed.