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# Hermitian Tensor Product Approximation of Complex Matrices and Separability

• ##### Bao-Zhi Sun
Reports on Mathematical Physics (Impact Factor: 0.76). 01/2006; 57(2):271-288. DOI: 10.1016/S0034-4877(06)80021-2
Source: arXiv

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. Comment: 16 pages

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