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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