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 ...

What are the prime factors, or multipliers, for the number 15? Most grade school students know the answer -- 3 and 5 -- by memory. A larger number, such as 91, may take some pen and paper. An even ...

Shor’s quantum factoring algorithm exponentially outperforms known classical methods. Previous experimental implementations have used simplifications dependent on knowing the factors in advance.

Researchers report that they have designed and built a quantum computer from five atoms in an ion trap. The computer uses laser pulses to carry out Shor's algorithm on each atom, to correctly factor ...

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 ...