Abstract: Blind Quantum Computation (BQC),is a kind of protocol that remarkably distinguishes from traditional quantum computation,delegates computing tasks from clients to the servers through the quantum channels which eventually alleviates the computing pressure generated by the clients.Consequently,BQC requires that the quantum is teleported in an accurate manner of transmission via the channels.Due to the problem of noise of quantum channel,a purely noiseless transmission channel under ideal circumstance cannot be realized without quantum error correction codes that are implemented to rectify the flip errors in terms of quantum bit and phase resulted from noise channels.By the basis of BQC protocol,two anti-noise BQC protocols are proposed from the perspectives of noise bit flip channels and noise phase flip channels,respectively.Explicitly,the client encodes the qubits via various ways,then the encoded qubits are used to transmit the quantum information to the server by which the quantum error correction codes are exploited to recover the correct quantum information for the purpose of completion of BQC with the client.A protocol analysis indicates that via correction computation,the requirement of accurate transmission by BQC protocol can be met during the computation of BQC over the quantum bit flip and quantum phase flip noise channels with neither the sacrifice of correctness and blindness of BQC,nor the reduction in unconditional security of quantum computing.Finally,this paper hopes that the new BQC protocols can be applied to other quantum error correction codes as well.

Key words: Blind quantum computation, Noise channel, Quantum bit flip, Quantum error correcting code, Quantum phase flip