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arxiv: 1604.05796 · v2 · pith:FXYI3KGCnew · submitted 2016-04-20 · 🪐 quant-ph · cs.CR· math.AC· math.AG

Prime factorization using quantum annealing and computational algebraic geometry

classification 🪐 quant-ph cs.CRmath.ACmath.AG
keywords factorizationquantumalgebraicannealingcomputationalgeometryprimealgorithm
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We investigate prime factorization from two perspectives: quantum annealing and computational algebraic geometry, specifically Gr\"obner bases. We present a novel scalable algorithm which combines the two approaches and leads to the factorization of all bi-primes up to just over $200 \, 000$, the largest number factored to date using a quantum processor.

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