Prime factorization using quantum annealing and computational algebraic   geometry
  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. 
Raouf Dridi and Hedayat Alghassi
quant-ph cs.CR math.AC math.AG