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Hermitian Tensor Product Approximation of Complex Matrices and Separability
Shao-Ming Fei, Naihuan Jing and Bao-Zhi Sun
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.