In theory, quantum physics can bypass the hard mathematical problems at the root of modern encryption. A new proof shows how.

In a hot spring at Yellowstone National Park, a microbe does something that life shouldn’t be able to do: It breathes oxygen ...

An Infinity of Infinities Yes, infinity comes in many sizes. In 1873, the German mathematician Georg Cantor shook math to the core when he discovered that the “real” numbers that fill the number line ...

Despite the hype, it’s been surprisingly challenging to find quantum algorithms that outperform classical ones. In this episode, Ewin Tang discusses her pioneering work in “dequantizing” quantum ...

Explore Quanta’s artificial intelligence coverage.AI may sound like a human, but that doesn’t mean that AI learns like a human. In this episode, Ellie Pavlick explains why understanding how LLMs can ...

In this episode of The Joy of Why, Thomas Hertog discusses his collaboration with Stephen Hawking on a provocative theory arguing that the laws of physics evolved with the universe, and how this could ...

One computer scientist’s “stunning” proof is the first progress in 50 years on one of the most famous questions in computer science. AI may sound like a human, but that doesn’t mean that AI learns ...

His incompleteness theorems destroyed the search for a mathematical theory of everything. Nearly a century later, we’re still coming to grips with the consequences.

For three decades, researchers hunted in vain for new elementary particles that would have explained why nature looks the way it does. As physicists confront that failure, they’re reexamining a ...

The mathematician Caucher Birkar was born on a subsistence farm and raised in the middle of the brutal war between Iran and Iraq. After fleeing to England, he has gone on to impose order on a wild ...

The precursors of heavy elements might arise in the plasma underbellies of swollen stars or in smoldering stellar corpses. They definitely exist in East Lansing, Michigan.

Though they live only a few hours before dividing, bacteria can anticipate the approach of cold weather and prepare for it. The discovery suggests that seasonal tracking is fundamental to life.