IBM (IBM) said Thursday it reached three milestones in quantum computing through separate projects with researchers at the University of Chicago, Qedma, and Algorithmiq.

With University of Chicago scientists, IBM ran a quantum calculation that today's best classical computers can't handle and showed the result could be trusted.

"We are now firmly in the quantum advantage era," Jay Gambetta, director of IBM Research, said in a statement.

In work with Qedma, IBM used error-reduction techniques to study how certain materials behave in ways classical simulations couldn't match.

With Algorithmiq, IBM simulated a complex quantum material and introduced a method for checking quantum results even when no classical computer can verify them.

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