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Measurement-Only Universal Blind Quantum Computation
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==Protocol Description== *Unless given specific mention in [.], following steps apply to both protocols *'''Input:''' Server: Dimensions of Resource State (m,n,o) *'''Output:''' Client: Final Outcome #Server’s preparation ##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 ##[Protocol 1a] ###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 ##[Protocol 1b] ###Server creates <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> ###'''Server's Computation: [[Glossary#Gate Teleportation|Gate Teleportation]]''' ####He entangles <math>|\phi_2\rangle</math> with <math>|\psi\rangle_{i,j,k}</math> by performing [[Glossary#Unitary Operations|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 *Interaction and Computation steps are repeated until all the qubits of resource state are measured.
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