Measurement-Only Universal Blind Quantum Computation: Difference between revisions

##Server creates a resource state <math>G_{\text{mxnxo}}</math>

#Interaction and Computation

##For i= 1,2,...m, j= 1,2,...n, k= 1,2,...o

###Server sends <math>|\psi\rangle_{i,j,k}\rangle</math> to Client

###Client measures <math>|\psi\rangle_{i,j,k}\rangle</math> in the required measurement basis according to her measurement pattern

###Server creates [[Glossary#Bell States|Bell pair]] <math>\phi_{1,2}=\frac{1}{\sqrt{2}}(|00\rangle+|11\rangle)</math>

###Server sends to Client (<math>|\phi_2\rangle</math>) and waits for Client's response

###Client checks if she received and tells the Server as Client.Response()

###'''If Client.Response()=No''', Server repeats the previous two steps

###'''Else''' Client measures (<math>|\phi_2\rangle</math>) in measurement basis {<math>|0\rangle \pm e^{i\theta}|1\rangle</math> determined by measurement pattern.

###'''Server's Computation: [[Glossary#Gate Teleportation]]'''

####He entangles <math>|\phi_2\rangle</math> with <math>|\psi\rangle_{i,j,k}</math> by performing [[Gossary#Quantum Gates|C-Z]]

####He measures <math>|\psi\rangle_{i,j,k}</math> in X basis ({<math>|+\rangle,|-\rangle</math>})  

####Server's applies correction on the classical outcome using Gate Teleporation.

###Server communicates the corrected outcome.

####Client records Server’s outcome and uses it when computing the final result or measurement angles for further qubits.