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 ...

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Several years ago one of us, Toni, asked another of us, Marco, to come to his office at the Institute of Photonic Sciences, a large research center in Castelldefels near Barcelona. “There is a problem ...

It may be a decade or more before quantum computers become common enough that we’ll find out whether “post-quantum cryptography” will stand up to genuine quantum computers. In the meantime, some ...

Forbes contributors publish independent expert analyses and insights. Paul-Smith Goodson is an analyst covering quantum computing and AI. Let’s say you’re interested in buying a car, so you visit a ...

Say the words “quantum supremacy” at a gathering of computer scientists, and eyes will likely roll. The phrase refers to the idea that quantum computers will soon cross a threshold where they’ll ...