Imaginary numbers might seem like unicorns and goblins — interesting but irrelevant to reality. But for describing matter at its roots, imaginary numbers turn out to be essential. They seem to be ...

Researchers at Japan’s Nippon Telegraph and Telephone Corporation (NTT) have built a quantum random number generator (QRNG) that delivers random bits periodically with high speed and is robust against ...

The proof, known to be so hard that a mathematician once offered 10 martinis to whoever could figure it out, connects quantum mechanics to infinitely intricate mathematical structures. Hofstadter was ...