Separability of Multi-Partite Quantum States

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.

13 pages

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Cited by in corpus (1)

• Quantum entanglement and approximation by positive matrices