The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, uses number ...

The path toward realizing practical quantum technologies begins with understanding the fundamental physics that govern ...

The uncertainty inherent to quantum mechanics has long left physicists wondering whether the observations we make on the ...

Google’s Quantum Echoes now closes the loop: verification has become a measurable force, a resonance between consciousness and method. The many worlds seem to be bleeding together. Each observation is ...

A research group from the Graduate School of Engineering at Tohoku University has developed a noninvasive means of detecting ...

A fundamental link between two counterintuitive phenomena in spin glasses—reentrance and temperature chaos—has been mathematically proven for the first time. By extending the Edwards–Anderson model to ...

A research group at the University of Würzburg, in partnership with researchers from the University of Montpellier and the ...