Noise Effects on Entanglement Distribution by Separable State. (arXiv:1702.04878v1 [quant-ph])

We investigate noise effects on the performance of entanglement distribution
by separable state. We consider a realistic situation in which the mediating
particle between two distant nodes of the network goes through a noisy channel.
By studying the effect of noisy channel on distributing d-dimensional Bell
state and tripartite GHZ state, we show that there exists a critical value of
noise parameter beyond which distribution of distillable entanglement is not
possible. Furthermore, we determine how this critical value increases in terms
of Hilbert space dimension, when distributing d-dimensional Bell states. This
suggests that Bell state distribution by means of separable state is more
efficient in higher dimensions.

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