  Quantum teleportation enables quantum information transmission, but requires
distribution of entangled resource states. Unfortunately, decoherence, caused
by environmental interference during quantum state storage, can degrade quantum
states, leading to entanglement loss in the resource state and reduction of the
fidelity of the teleported information. In this work, we investigate the use of
error correction and error syndrome information in scheduling teleportation at
a quantum network node in the presence of multiple teleportation requests and a
finite rate of remote entanglement distribution. Specifically, we focus on the
scenario where stored qubits undergo decoherence over time due to imperfect
memories. To protect the qubits from the resulting errors, we employ quantum
encodings, and the stored qubits undergo repeated error correction, generating
error syndromes in each round. These error syndromes can provide additional
benefits, as they can be used to calculate qubit-specific error likelihoods,
which can then be utilized to make better scheduling decisions. By integrating
error correction techniques into the scheduling process, our goal is to
minimize errors and decoherence effects, thereby enhancing the fidelity and
efficiency of teleportation in a quantum network setting.
