  Port-based teleportation (PBT) represents a variation of the standard quantum
teleportation and is currently being employed and explored within the field of
quantum information processing owing to its various applications. In this
study, we focus on PBT protocol when the resource state is disrupted by local
Pauli noises. Here, we fully characterise the channel of the noisy PBT protocol
using Krauss representation. Especially, by exploiting the application of PBT
for entanglement distribution necessary in realizing quantum networks, we
investigate entanglement transmission through this protocol for each qubit
considering noisy resource states, denoted as port-based entanglement
teleportation (PBET). Finally, we derive upper and lower bounds for the
teleported entanglement as a function of the initial entanglement and the
noises. Our study demonstrates that quantum entanglement can be efficiently
distributed by protocols utilizing large-sized resource states in the presence
of noise and is expected to serve as a reliable guide for developing optimized
PBET protocols. To obtain these results, we address that the order of
entanglement of two qubit states is preserved through the local Pauli channel,
and identify the boundaries of entanglement loss through this teleportation
channel.
