An algorithm that provably finds the ground state of any one-dimensional quantum system is presented, providing a promising alternative to the widely used, but heuristic, density matrix ...

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 ...

computational complexity For Algorithms, a Little Memory Outweighs a Lot of Time One computer scientist’s “stunning” proof is the first progress in 50 years on one of the most famous questions in ...

Usually, augmenting vectors with certain properties are sought to guarantee the polynomial running time of the overall algorithm. In this paper, we show that one can solve every integer programming ...

Compared to the previous approach of, our algorithm improves the complexity from an exponential dependence on T to a nearly quadratic dependence, under the condition R < 1.

In an era where autonomous systems demand pinpoint accuracy, navigation algorithms face a tough trade-off between precision and speed.

Home Tech the explainer Algorithms have gotten out of control. It's time to regulate them. These complex equations have huge influence on our lives — but they operate with very little oversight ...