One computer scientist’s “stunning” proof is the first progress in 50 years on one of the most famous questions in computer ...

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 ...

It is the first implementation of Shor’s algorithm in which prior knowledge of the factors was not used to simplify the computational procedure. Finding the integer factors of a large odd number is a ...

That’s why there is serious work underway to design new types of algorithms that are resistant to even the most powerful quantum computer we can imagine. What do these algorithms even do?

Shor’s discovery electrified the small community of physicists who studied quantum information — the kind of information that quantum computers would process.

Mathematicians have long sought to develop algorithms that can compare any two graphs. In practice, many ...

The simplest meaningful instance of Shor's Algorithm is finding the factors of the number 15, which requires a seven-qubit quantum computer.

Complexity theorists sort problems into categories, called complexity classes, based on the resource demands of the best algorithms for solving them — that is, the algorithms that run fastest or use ...

Main Shor's factoring algorithm consists of a quantum order-finding algorithm, preceded and succeeded by various classical routines.

Like Shor’s algorithm, the new approach factors integers in a reasonable amount of time. The work also points to new possibilities for implementing continuous methods in quantum computing. “This paper ...