Hermitian Tensor Product Approximation of Complex Matrices and Separability
Shao-Ming Fei, Naihuan Jing, 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 H1 H2 in terms of the sum of tensor products of Hermitian matrices on H1 and H2 is presented. From this construction the separability of quantum states is discussed.
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