Double-server blind quantum computation based on the GHZ state

Abstract

We propose a new double-server blind quantum computation protocol based on the Greenberger–Horne–Zeilinger (GHZ) state. In this protocol, the correlation of the GHZ triplets has been utilized to deal with the existing double-server blind quantum computation protocol’s limitation, in which two servers cannot communicate with each other. Moreover, although the two servers in this protocol can obtain different parts of the particles in different GHZ states, they cannot match every GHZ state particle correctly, and this is because the positions of the particles are kept secret. Therefore, the protocol is still secure, in which two servers can communicate with each other. Furthermore, the client can make authentication requests to the trusted center, determining if the first server is honest or not by calculating measurements of part of the GHZ particles. After analyzing the security of the protocol, the protocol is found to be unconditionally secure.