Discover how the Luhn Algorithm verifies credit card accuracy, supports secure transactions, and helps prevent errors in inputting Social Security numbers.

The original version of this story appeared in Quanta Magazine. Imagine a town with two widget merchants. Customers prefer cheaper widgets, so the merchants must compete to set the lowest price.

Quantum computers are coming. And when they arrive, they are going to upend the way we protect sensitive data. Unlike classical computers, quantum computers harness quantum mechanical effects — like ...

Google’s Willow quantum computer (pictured here) is delivering. Image credits: Google. “Today, we’re announcing research that shows — for the first time in history — that a quantum computer can ...

The new quantum computing algorithm, called "Quantum Echoes," is the first that can be independently verified by running it on another quantum computer. When you purchase through links on our site, we ...

Designed to accelerate advances in medicine and other fields, the tech giant’s quantum algorithm runs 13,000 times as fast as software written for a traditional supercomputer. A quantum computer at ...

The original version of this story appeared in Quanta Magazine. If you want to solve a tricky problem, it often helps to get organized. You might, for example, break the problem into pieces and tackle ...

Some of the largest providers of large language models (LLMs) have sought to move beyond multimodal chatbots — extending their models out into "agents" that can actually take more actions on behalf of ...

Boundary Bay Brewery will close permanently on September 20 after 30 years. Black Raven Brewery will brew flagship beers to preserve Boundary Bay's legacy. Walton Beverage will continue regional ...

BOUNDARY WATERS CANOE AREA WILDERNESS — It was a sunset that campers dream of: perfect shades of red, orange and purple over a glassy wilderness lake. I could only glance at it over my left shoulder ...

The modern internet is ruled by algorithms. When you boot up Instagram, for example, what you see in your feed is strategically sorted by the app's AI based on your past activity to keep you engaged ...