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

Port-based entanglement teleportation via noisy resource states