Quantum computers are on the cusp of becoming a practical reality, and could ultimately solve currently intractable computational problems, with vital applications. Phasecraft is developing the fundamental quantum theory and software that will enable quantum computers to: investigate novel quantum materials, helping to develop better batteries and more efficient solar cells; simulate chemical reactions, helping to discover new catalysts and optimise key industrial processes; and solve hard constraint satisfaction problems, helping to make the most of scarce resources in logistics.