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arXiv · 0807.5003

Separability of Multi-Partite Quantum States

Xiaofen Huang·Naihuan Jing
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Abstract

We give a direct tensor decomposition for any density matrix into Hermitian operators. Based upon the decomposition we study when the mixed states are separable and generalize the separability indicators to multi-partite states and show that a density operator is separable if and only if the separable indicator is non-negative. We then derive two bounds for the separable indicator in terms of the spectrum of the factor operators in the tensor summands.

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Xiaofen Huang, Naihuan Jing. 2008-07-31. Separability of Multi-Partite Quantum States. https://doi.org/10.1088/1751-8113/41/39/395302

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