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 ...

There are adiabatic factoring algorithms and methods. Dwave is focused on optimization problems, however the system can be used to solve other problems including factoring. In November 2014, it was ...

Results from the latest round, factoring a record-setting 167-digit number, may help simplify some mathematical theorems and help scientists develop secret codes for computer security. "The fact that ...

(Phys.org)—Researchers have set a new record for the quantum factorization of the largest number to date, 56,153, smashing the previous record of 143 that was set in 2012. They have shown that the ...

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 ...

The phenomenal success of our integrated circuits managed to obscure an awkward fact: they're not always the best way to solve problems. The features of modern computers—binary operations, separated ...

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 ...