Hermitian Tensor Product Approximation of Complex Matrices and Separability

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.

16 pages

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Cited by in corpus (4)

• On decompositions and approximations of conjugate partial-symmetric complex tensors
• Separability of Multi-Partite Quantum States
• Schmidt decomposition of mixed-pure states for (d,infinity ) systems and some applications
• Separability for Weak Irreducible matrices