Credit: A. Montanaro Researchers from the University of Bristol and quantum start-up, Phasecraft, have advanced quantum computing research, bringing practical hybrid quantum-classical computing one step closer. The team, led by Bristol researcher and Phasecraft co-founder, Dr. Ashley Montanaro, has discovered algorithms and analysis which significantly lessen the quantum hardware capability needed to solve problems which go beyond the realm of classical computing, even supercomputers. In the paper, published in Physical Review B, the team demonstrates how optimised quantum algorithms can solve instances of the notorious Fermi-Hubbard model on near-term hardware. The Fermi-Hubbard model is of fundamental importance in condensed-matter physics as a model for strongly correlated materials and a route to understanding high-temperature superconductivity.