  We propose a protocol to transmit three quantum states crossly in a butterfly
network with prior entanglement, in the form of GHZ states, between three
senders. The proposed protocol requires only one qubit transmission or two
classical bits transmission in each channel of the network. We generalize this
protocol to higher number of qubits with multiqubit GHZ states towards quantum
network operability using network coding with multiqubit GHZ states on
higher-order butterfly networks.
