Supplementary Information: Difference between revisions

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<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_{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_{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</br>
<math>=\alpha_{ab}|a\rangle X^{\mu_0}|b\oplus \mu_a\rangle</math></br>


===Trapdoor Claw-Free Function (TCF)===
===Trapdoor Claw-Free Function (TCF)===
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