This simple but profound step alters the very geometry of the bound. Instead of viewing entropy in terms of the enclosing sphere, we arrive at a toroidal representation, where the inner radius is ...

Entropy is one of those concepts that is so fundamental that it needs to be explained far and wide in accessible terms, but has consequences that baffle us when we think about it for a while.

"It was a pleasant surprise when we found that the formula* for entanglement entropy could be rendered in a surprisingly simple expression," Nishikawa said. To test their approach, the team ...

The simplified formula was developed to analyze local quantum entanglement in nanoscale materials. News organizations may use or redistribute this image, with proper attribution, as part of news ...