Prepare-and-Send Universal Blind Quantum Computation: Difference between revisions

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==='''Stage 1:''' Preparation====
==='''Stage 1:''' Preparation====
*Input: Client: Dimensions of Brickwork State (m,n), Input States (ψ0,y) [Protocol 1b only], Auxilliary Input States (ψx,y)
*Input: Client: Dimensions of Brickwork State (m,n), Input States (ψ0,y) [Protocol 1b only], Auxilliary Input States (ψx,y)
*Output: Server: Brickwork State Gmxn
*Output: Server: Brickwork State <math>G_{\text{mxn}}</math>
# Client’s preparation  
**'''Client’s preparation'''
##For each column x = 1,...,n
##For each column x = 1,...,n
###For each row y = 1,...,m
###For each row y = 1,...,m
#### Client prepares  and sends the qubits to Server.
#### Client prepares  and sends the qubits to Server.
'''Server’s preparation'''
**'''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>.
#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>.
====Computation Stage====
===Computation Stage===
*Input: Client: Measurement Angle: δx,y
*Input: Client: Measurement Angle: δx,y
*Output: Server: Measurement Outcome: sx,y
*Output: Server: Measurement Outcome: sx,y
'''Interaction and measurement'''
**'''Interaction and measurement'''
#For each column x = 1,...,n  
#For each column x = 1,...,n  
##For each row y = 1,...,m
##For each row y = 1,...,m
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### Server transmits the result sx,y ∈ {0,1} to Client.
### Server transmits the result sx,y ∈ {0,1} to Client.
### If rx,y = 1 above, Client flips sx,y; otherwise she does nothing.
### If rx,y = 1 above, Client flips sx,y; otherwise she does nothing.
'''Output Correction [only for quantum outputs]'''
**'''Output Correction [only for quantum outputs]'''
# Server sends to Client all qubits in the last layer.
# Server sends to Client all qubits in the last layer.
# Client performs the final Pauli corrections .
# Client performs the final Pauli corrections .
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