Blind quantum computation (BQC) provides an efficient method for the clientwho does not have enough sophisticated technology and knowledge to performuniversal quantum computation. The single-server BQC protocol requires theclient to have some minimum quantum ability, while the double-server BQCprotocol makes the client's device completely classical, resorting to the pureand clean Bell-state shared by two servers. In this paper, we provide adeterministic entanglement distillation protocol in a practical noisyenvironment for the double-server BQC protocol. This protocol can obtain thepure maximally entangled Bell state with the success probability of 100% inprinciple. The distilled maximally entangled states can be remaind to performthe BQC protocol subsequently. The parties who perform the distillationprotocol do not need to exchange the classical information and they learnnothing from the client. It makes this protocol unconditionally secure andsuitable for current BQC protocol.
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