At its core, the study of polynomial time algorithms seeks procedures that can resolve intricate problems within a time frame that scales polynomially with the size of the input. This framework ...

The amount of time it takes for an algorithm to solve a polynomial function, which is a mathematical expression that does not contain fractions or negative numbers. The time is proportional to the ...

Here we develop a polynomial time algorithm that provably finds the ground state of any 1D quantum system described by a gapped local Hamiltonian with constant ground-state energy. The algorithm ...

Now, Babai has taken what appears to be a major step forward in pinning down the problem’s difficulty level, by setting forth what he asserts is a “quasi-polynomial-time” algorithm to solve it.

The award was made in recognition of their paper A polynomial-time approximation algorithm for the permanent of a matrix with non-negative entries, which they had presented at the STOC meeting two ...

This is an instance of a problem that would be in the NP category, or nondeterministic polynomial time algorithms. The time needed for verifying a yes instance of problem grows as a constant power ...

Computer scientists are abuzz over a fast new algorithm for solving one of the central problems in the field. (January 15, 2017, update: On January 4, Babai retracted his claim that the new algorithm ...