素因数分解から帰着した落とし戸付きのイジング模型のハミルトニアンを計算します。
FACTORING -> Circuit SAT -> MAXSAT -> QUBO -> MAXCUT -> Ising
の順に経由して二体相互作用のみのハミルトニアンをO(n^2)で作ります。 FACTORINGからC-SATへの帰着は工夫するとより効率的にできて、 例えばこれやこれ などが知られているようです。前者でnlognになるらしいです。
4=2*2を変換したising
素因数分解からイジングに帰着して経験的に難しい保証のあるアナログ量子計算機の問題を生成する
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