Researchers introduced new concepts and arithmetic functions that could play a significant role in the quantum factorization problem. The Factorization Ensemble is the main one; it allows us to bind ...

Arxiv – Pretending to factor large numbers on a quantum computer – Shor’s algorithm for factoring in polynomial time on a quantum computer gives an enormous advantage over all known classical ...

Computing prime factors may sound like an elementary math problem, but try it with a large number, say one that contains more than 600 digits, and the task becomes enormously challenging and ...

Peter Shor didn’t set out to break the internet. But an algorithm he developed in the mid-1990s threatened to do just that. In a landmark paper, Shor showed how a hypothetical computer that exploited ...

Scientists at IBM's Almaden Research Center have performed the world's most complicated quantum-computer calculation to date. They caused a billion billion custom-designed molecules in a test tube to ...