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 ...

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 ...

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 ...

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 ...

A new algorithm efficiently solves the graph isomorphism ... they belong to a category called P, for polynomial time. Others are classified as NP-complete (NP stands for nondeterministic ...

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.