Add bloq for constant polynomial multiplication modulu in GF(2) #1516
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…ualtran into gf2_polynomials
NoureldinYosri
changed the title
NoureldinYosri
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Jan 8, 2025
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| @cached_property | ||
| def signature(self) -> 'Signature': | ||
| return Signature([Register('g', QBit(), shape=(self.n,))]) |
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@tanujkhattar I want to have an
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This PR is the first PR implementing https://arxiv.org/abs/1910.02849v2. specifically this PR implements Algorithm 1:$MULT_{f(x)}$ Which I renamed to MultiplyPolyByConstantMod.
The final construction implements polyomial multiplication in GF(2) with exactly$n^{log_2(3)}$ Toffolis as opposed to the $n^2$ construction we currently have.