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

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.