The original version of this story appeared in Quanta Magazine. All of modern mathematics is built on the foundation of set theory, the study of how to organize abstract collections of objects. But in ...

For quantum computers to change the game of computation, scientists need to show that the machines’ calculations are correct. Now, there’s hope. Google’s Willow quantum chip has achieved verifiable ...

Even if you’ve never set foot inside a physics classroom, you probably have a pretty solid grasp of the laws governing how objects move and behave. Throw a basketball against a wall and it bounces off ...

Researchers got a better look at the thoughts of chatbots, amateurs learned exactly how complicated simple systems can be, and quantum computers passed an essential milestone. The end of 2024 seems a ...

A research team at the Jülich Supercomputing Center, together with experts from NVIDIA, has set a new record in quantum simulation: for the first time, a universal quantum computer with 50 qubits has ...

Descriptive set theorists study the niche mathematics of infinity. Now, they’ve shown that their problems can be rewritten in the concrete language of algorithms. All of modern mathematics is built on ...