  After quantum computers come out, governments and rich companies will have
the abilities to buy these useful quantum computers, meanwhile they are
familiar with these technologies proficiently. If a client wants to perform
quantum computing but she does not have quantum computers with relevant quantum
technologies. She can seek help from the server and pay his salary, but she
does not want to leak anything to the server. Blind quantum computing (BQC)
give a good method for the client to realized her quantum computing. In this
article, we propose a new BQC protocol of quantum fourier transform (QFT)
performed on multi-qubit states with a trusted, a client and a server, where
the trusted center can generate resource states, the client can delegate her
quantum computing to a server who can perform universal quantum computing
without knowing anything about the client's inputs, algorithms and outputs. We
first give the BQC protocols of three-qubit QFT with the equivalently quantum
circuits, Greenberg-Horne-Zeilinger(GHZ) entangled states and W entangled
states as examples. Further, we extend them to multi-qubit QFT on multi-qubit
with the equivalently quantum circuits. At last, we give the analyses and
proofs of the blindness and correctness.
