Guofeng Zhang

A magnetic field is invisible, but you can make it 'glow' using tiny defects in diamond — nitrogen-vacancy centers. Each such defect acts as a miniature compass, telling you which way the field points. The problem is that there are many of these compasses, and reading them all in sequence is like transcribing every letter in a thick book by hand.

In 1948, engineer Claude Shannon laid the foundations of information theory. The Nyquist–Shannon theorem gave the first answer: to avoid losing a signal, you need at least twice as many measurements as the fastest feature in the signal. In 2006, the method of compressed sensing relaxed this requirement.