Editing Prepare-and-Send Universal Blind Quantum Computation (section)

==Protocol Description==
[https://github.com/cgmcintyr/SimulaQron/tree/develop/examples/ubqc <u>click here for SimulaQron code</u>]
==='''Stage 1:''' Preparation===
*Input: Client: Dimensions of Brickwork State (m,n), Input States (<math>\psi_{0,y})</math>, Auxilliary Input States (<math>\psi_{x,y}</math>)
*Output: Server: Brickwork State <math>G_{\text{mxn}}</math>
**'''Client’s preparation''' 
##For each column x = 1,...,n
###For each row y = 1,...,m
#### Client prepares  and sends the qubits to Server.
**'''Server’s preparation'''
#Server creates an entangled state from all received qubits, according to their indices, by applying CTRL-Z gates between the qubits in order to create a brickwork state <math>G_{\text{n x m}}</math>.

==='''Stage 2:''' Computation Stage===
*Input: Client: Measurement Angle: <math>\delta_{x,y}</math>
*Output: Server: Measurement Outcome: <math>s_{x,y}</math>
**'''Interaction and measurement'''
#For each column x = 1,...,n 
##For each row y = 1,...,m
###Client computes <math>\phi '_{x,y}</math> where <math>s^X_{0,y}=s^Z_{0,y}=0</math> <br/>
###Client chooses <math>r_{x,y} \epsilon_R {0,1}</math> and computes <math>\delta_{x,y}=\phi '_{x,y}+\theta_{x,y}+\pi r_{x,y}</math>.
###Client transmits <math>\delta_{x,y}</math> to Server. Server measures in the basis <math>\{|+_{\delta_{x,y}}\rangle, |-_{\delta_{x,y}}\rangle\}</math>
###Server transmits the result <math>s_{x,y}\epsilon {0,1}</math> to Client.
###If <math>r_{x,y} = 1,</math> Client flips <math>s_{x,y}</math>; otherwise she does nothing.
**'''Output Correction [only for quantum outputs]'''
#Server sends to Client all qubits in the last layer.
#Client performs the final Pauli corrections .