The Riemann hypothesis claims that the locations of prime numbers along the infinite number line all adhere to a beautiful and orderly but obscure formula. Yet 167 years after German mathematician ...

At the forefront of discovery, where cutting-edge scientific questions are tackled, we often don’t have much data. Conversely, successful machine learning (ML) tends to rely on large, high quality ...

Do you understand quantum parallel repetition? What about quantum complexity, lattice cryptography, or extremal combinatorics? The new OpenAI model Astra knows all about them. Recently, OpenAI ...

Since the 1990s, evidence has been growing that quantum computers should be able to solve a range of particularly complex computational problems, with applications in everything from supply chain ...

BUFFALO, N.Y. — Imagine zooming into matter at the quantum scale, where tiny particles can interact in more than a trillion configurations at once. If that sounds complicated, it is: Physicists often ...

Quantum physics is the most successful scientific theory ever devised. It powers semiconductors, lasers, and MRI machines. Yet a bold new argument from Oxford physicist Tim Palmer says quantum physics ...

When you throw a ball in the air, the equations of classical physics will tell you exactly what path the ball will take as it falls, and when and where it will land. But if you were to squeeze that ...