Secure Multiparty Delegated Classical Computation: Difference between revisions

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## <math>C_i</math> applies <math>V^{r_i}U^{x_i}</math> on the received qubit and sends it to client <math>C_{i+1}</math>.
## <math>C_i</math> applies <math>V^{r_i}U^{x_i}</math> on the received qubit and sends it to client <math>C_{i+1}</math>.
# <math>C_n</math> applies <math>V^{r_n}U^{x_n}</math> on the received qubit.
# <math>C_n</math> applies <math>V^{r_n}U^{x_n}</math> on the received qubit.
# Any client then applies <math>(U^\dagger)^{\oplus_i x_i}</math>. <br/> <math>(U^\dagger)^\oplus_i#1_i{x}<br/> \underbrace{V^{r_n}U^{x_n}}_{\mathcal{C}_n} <br/> ... <br/> \underbrace{V^{r_2}U^{x_2}}_{\mathcal{C}_2} <br/> \underbrace{V^{r_1}U^{x_1}}_{\mathcal{C}_1} <br/> \ket{0}= <br/> |r \oplus f\rangle </math>
# Any client then applies <math>(U^\dagger)^{\oplus_i x_i}</math>. <br/> <math>(U^\dagger)^{\oplus_i x_i} \underbrace{V^{r_n}U^{x_n}}_{\mathcal{C}_n} ... \underbrace{V^{r_2}U^{x_2}}_{\mathcal{C}_2} \underbrace{V^{r_1}U^{x_1}}_{\mathcal{C}_1} |0\rangle= |r \oplus f\rangle </math>
# The resulting state is now sent to the server who measures the outcome <math>r \oplus f</math> and announces it.
# The resulting state is now sent to the server who measures the outcome <math>r \oplus f</math> and announces it.
# The clients locally compute XOR of the random bits of other clients.
# The clients locally compute XOR of the random bits of other clients.
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