Half-blind quantum computation with operation teleportation

Abstract

Blind quantum computation allows that a client who only possesses a little quantum capability can delegate a powerful quantum computer to realize a secret quantum computation. In this paper, we find a security loophole in the first universal half-blind quantum computation protocol, and repair it via a method of operation teleportation. Simultaneously, in order to reduce quantum consumption of both the client and the server, proposed protocol is established based on the universal set of gates {H,T,CX}, and only needs the client to possess capability of preparing qubit in eigenstates of Pauli gate X and Y or measuring qubit in the basis of these gates. Finally, a sample example is given to demonstrate proposed protocol clearly. All these extensions enrich the application scene of half-blind quantum computation.