A quantum simulation of heterogeneous matter, designed by Algorithmiq and executed on IBM quantum computers, continues to compete with the world's leading classical simulation methods eight months after its debut on the Quantum Advantage Tracker.The work addresses one of quantum computing's central challenges: how to trust a result when no classical computer can verify it.Algorithmiq is also releasing a new benchmark for quantum advantage claims, making its best classical method for simulating molecular ground states available to the research community.

Jul 30, 2026

YORKTOWN HEIGHTS, N.Y. and MILAN – July 30, 2026 — Today, Algorithmiq and IBM (NYSE: IBM) announced a major milestone in the development of quantum computing: a joint demonstration of quantum advantage with the simulation of a heterogeneous quantum material, achieved with a new framework that establishes trust in quantum computations when classical verification is unavailable.

Eight months after this problem and results were first released through the launch of the Quantum Advantage Tracker, no classical method has been able to reliably produce results across the full problem regime studied in this work. It demonstrates that quantum computers can provide trusted solutions more efficiently, more cheaply, or more accurately than leading classical compute methods — which has long been considered a key milestone in the field.