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arXiv · 2408.08988

Separability criterion for n-particle states

Reza Hamzehofi
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Abstract

This research introduces the concept of the purity number, which represents the number of separable s-particle sub-states within an n-particle state ($s<n$ ). It establishes that, for any , achieving the maximum purity number is both a necessary and sufficient condition for the separability of n-particle pure states, and a necessary condition for the separability of n-particle mixed states. Subsequently, the study delves into the concept of entanglement rate in n-particle pure states. The entanglement rate of an n-particle pure state, in which all entangled sub-states are maximally entangled, can be considered as a measure of entanglement.

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Reza Hamzehofi. 2024-08-16. Separability criterion for n-particle states. https://arxiv.org/abs/2408.08988

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