## Latest Articles

### Mathematicians Discover the Perfect Way to Multiply

By chopping up large numbers into smaller ones, researchers have rewritten a fundamental mathematical speed limit.

### Cryptography That Is Provably Secure

Researchers have just released hacker-proof cryptographic code — programs with the same level of invincibility as a mathematical proof.

### In Quantum Games, There’s No Way to Play the Odds

These games combine quantum entanglement, infinity and impossible-to-calculate winning probabilities. But if researchers can crack them, they’ll reveal deep mathematical secrets.

### Proof Finds That All Change Is a Mix of Order and Randomness

All descriptions of change are a unique blend of chance and determinism, according to the sweeping mathematical proof of the “weak Pinsker conjecture.”

### The Universe’s Ultimate Complexity Revealed by Simple Quantum Games

A two-player game can reveal whether the universe has an infinite amount of complexity.

### Smaller Is Better: Why Finite Number Systems Pack More Punch

Recent progress on the “sum product” problem recalls a celebrated mathematical result that revealed the power of miniature number systems.

### How a Strange Grid Reveals Hidden Connections Between Simple Numbers

A graduate student has helped illuminate a long-suspected connection between addition and multiplication.

### Foundations Built for a General Theory of Neural Networks

Neural networks can be as unpredictable as they are powerful. Now mathematicians are beginning to reveal how a neural network’s form will influence its function.

### Milestone Experiment Proves Quantum Communication Really Is Faster

In a Paris lab, researchers have shown for the first time that quantum methods of transmitting information are superior to classical ones.