Supplementary Information: Difference between revisions

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 ===Garden Hose Complexity Model===
 *Gadget Construction for QFHE
-===Encrypted CNOT operation (FHE)===
-<math>\sum_{a,b\in\{0,1\}}\alpha_{ab}CNOT^s|a\rangle|b\rangle</math></br>
-<math>=\alpha_{ab}|a\rangle|b\oplus a.s\rangle</math></br>
-<math>=\alpha_{ab}|a\rangle|b\oplus a.(\mu_0+\mu_1)\rangle</math></br>
-<math>=\alpha_{ab}|0\rangle|b\oplus 0\rangle+\alpha_{ab}|1\rangle|b\oplus \mu_0+\mu_1\rangle</math></br>
-<math>=\alpha_{ab}|0\rangle|b\oplus \mu_0+\mu_1\rangle+\alpha_{ab}|1\rangle|b\oplus \mu_0+\mu_1\rangle</math>,   <math>\because q\oplus q=0</math></br>
-<math>=\alpha_{0b}|0\rangle X^{\mu_0}|b\oplus \mu_0\rangle+\alpha_{1b}|1\rangle X^{\mu_0}|b\oplus \mu_1\rangle</math></br>   <math>\because |w\oplus y\rangle=X^y|b\rangle</math></br>
-<math>=\alpha_{ab}|a\rangle X^{\mu_0}|b\oplus \mu_a\rangle</math></br>
 ===Trapdoor Claw-Free Function (TCF)===