Computer scientists have written a network flow algorithm that computes almost as fast as is mathematically possible. This algorithm computes the maximum traffic flow with minimum transport costs for ...

Quantum computers promise enormous computational power, but the nature of quantum states makes computation and data ...

The authors do not work for, consult, own shares in or receive funding from any company or organization that would benefit from this article, and have disclosed no relevant affiliations beyond their ...

For decades, the graph isomorphism problem has held a special status within complexity theory. While thousands of other computational problems have meekly succumbed to categorization as either hard or ...

Michele Mosca of the Institute for Quantum Computing and Dept. of Combinatorics & Optimization, University of Waterloo and St. Jerome’s University, and Perimeter Institute for Theoretical Physics ...

Professionals in agriculture, defense and security, environmental monitoring, food quality analysis, industrial quality ...

What do encrypted messages, recognizing speech commands and running simulations to predict the weather have in common? They all rely on matrix multiplication for accurate calculations. DeepMind, an ...

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 ...

The original version of this story appeared in Quanta Magazine. One July afternoon in 2024, Ryan Williams set out to prove himself wrong. Two months had passed since he’d hit upon a startling ...

“LET’S do it again,” calls a ten-year-old. Once more, pupils clasping printed numbers follow tangled lines marked with white tape on the floor of their school hall. When two meet, the one holding the ...