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Measurement-Only Verifiable Universal Blind Quantum Computation: Difference between revisions
Measurement-Only Verifiable Universal Blind Quantum Computation (edit)
Revision as of 23:23, 15 June 2019
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==Notation== | ==Notation== | ||
* <math>G_{m\times n}</math>: Resource state | |||
* <math>m\times n</math>: Resource state size | * <math>m\times n</math>: Resource state size | ||
* <math>|\psi\rangle_P</math>: <math>P(|R\rangle\otimes |+\rangle^{\otimes \frac{N}{3}} \otimes |0\rangle^{\otimes \frac{N}{3}})</math>, this is the $n$-qubit state left with the server which contains the trap qubits (<math>|0\rangle</math>, <math>|+\rangle</math>) and resource state. | * <math>|\psi\rangle_P</math>: <math>P(|R\rangle\otimes |+\rangle^{\otimes \frac{N}{3}} \otimes |0\rangle^{\otimes \frac{N}{3}})</math>, this is the $n$-qubit state left with the server which contains the trap qubits (<math>|0\rangle</math>, <math>|+\rangle</math>) and resource state. | ||
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'''Stage 1''': Server's preparation </br> | '''Stage 1''': Server's preparation </br> | ||
'''Input''': Dimensions of the resource state. | '''Input''': Dimensions of the resource state. | ||
* Server creates | '''Output''': Client: receives all qubits | ||
* Server creates <math>G_{m\times n}</math> and sends each qubit to Client | |||
</br> | </br> | ||
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* For <math>i = 1, 2, ... m-1</math>: | * For <math>i = 1, 2, ... m-1</math>: | ||
** For <math>j = 1, 2, ...n</math>: | ** For <math>j = 1, 2, ...n</math>: | ||
*** Client receives | *** Client receives resource state qubit <math>|\psi\rangle_{i,j,0}</math> from server. | ||
*** The client performs the measurement on the qubit according to the measurement pattern. | *** The client performs the measurement on the qubit according to the measurement pattern. | ||
** Through the measurements, Client creates the state <math>\sigma_q|\psi\rangle_P</math> in the server's possession, where | ** Through the measurements, Client creates the state <math>\sigma_q|\psi\rangle_P</math> in the server's possession, where | ||