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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
3/2006

Hermitian Tensor Product Approximation of Complex Matrices and Separability

Shao-Ming Fei, Naihuan Jing and Bao-Zhi Sun

Abstract

The approximation of matrices to the sum of tensor products of Hermitian matrices is studied. A minimum decomposition of matrices on tensor space $H_1\otimes H_2$ in terms of the sum of tensor products of Hermitian matrices on $H_1$ and $H_2$ is presented. From this construction the separability of quantum states is discussed.

Received:
Jan 11, 2006
Published:
Jan 11, 2006
PACS:
03.67.-a, 03.65.Ud, 03.65.Ta
Keywords:
separability, matrix, tensor product

Related publications

inJournal
2006 Repository Open Access
Shao-Ming Fei, Nai-Huan Jing and Bao-Zhi Sun

Hermitian tensor product approximation of complex matrices and separability

In: Reports on mathematical physics, 57 (2006) 2, pp. 271-288