Computational complexity and proof systems are fundamental areas in theoretical computer science that explore the limits of what can be computed and how efficiently problems can be solved. Recent ...

A solution to P vs NP could unlock countless computational problems—or keep them forever out of reach. 1. On Monday, July 19, 2021, in the middle of another strange pandemic summer, a leading computer ...

MIP * = RE is not a typo. It is a groundbreaking discovery and the catchy title of a recent paper in the field of quantum complexity theory. Complexity theory is a zoo of “complexity classes” – ...

Researchers have used an elegant method based on statistical mechanics -- called the vertex model -- to create more efficient algorithms to solve complex problems more quickly. The research could ...

Quantum computers promise to revolutionize our ability to solve problems thanks to their unique properties. However, a team of researchers has just discovered a computable task that appears impossible ...

Cryptographers want to know which of five possible worlds we inhabit, which will reveal whether truly secure cryptography is even possible. Many computer scientists focus on overcoming hard ...