Hermitian Tensor Product Approximation of Complex Matrices and Separability

Details Hermitian Tensor Product Approximation of Complex Matrices and Separability Hermitian Tensor Product Approximation of Complex Matrices and Separability

2006-03-11

arxiv.org/abs/quant-ph/0603103v1

Rep. Math. Phys. 57(2006)271-288

Physics

Quantum Physics

16 pages

Scientific paper

10.1016/S0034-4877(06)80021-2

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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