  Quantum network coding is an effective solution for alleviating bottlenecks
in quantum networks. We introduce a measurement-based quantum network coding
scheme for quantum repeater networks (MQNC), and analyze its behavior based on
results acquired from Monte-Carlo simulation that includes various error
sources over a butterfly network. By exploiting measurement-based quantum
computing, operation on qubits for completing network coding proceeds in
parallel. We show that such an approach offers advantages over other schemes in
terms of the quantum circuit depth, and therefore improves the communication
fidelity without disturbing the aggregate throughput. The circuit depth of our
protocol has been reduced by 56.5% compared to the quantum network coding
scheme (QNC) introduced in 2012 by Satoh, et al. For MQNC, we have found that
the resulting entangled pairs' joint fidelity drops below 50% when the accuracy
of local operations is lower than 98.9%, assuming that all initial Bell pairs
across quantum repeaters have a fixed fidelity of 98%. Overall, MQNC showed
substantially higher error tolerance compared to QNC and slightly better than
buffer space multiplexing using step-by-step entanglement swapping, but not
quite as strong as simultaneous entanglement swapping operations.
