But for mathematician Aaron Lauda, knots hold clues to the future of quantum computing and artificial intelligence.

Researchers need a way to expand that set so the model can handle the full range of quantum computing tasks.

And the benefits could run both ways: Just as knot mathematics might improve quantum computing, quantum computers could help mathematicians investigate knots.

Exploring the next dimension While we’re accustomed to navigating a world of three dimensions, the collaboration also explores mathematical spaces with four.

“That means giving the mathematics time to mature, while pursuing the connections to quantum computing and AI that are already taking shape.”