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Hermitian Tensor Product Approximation of Complex Matrices and Separability

Shao-Ming Fei·Naihuan Jing·Bao-Zhi Sun
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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 $H_1\otimes H_2$ 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.

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Shao-Ming Fei, Naihuan Jing, Bao-Zhi Sun. 2006-03-11. Hermitian Tensor Product Approximation of Complex Matrices and Separability. https://doi.org/10.1016/s0034-4877(06)80021-2

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