This PhD project at the University of Southampton, within the EPSRC Centre for Doctoral Training in Quantum Technology Engineering, focuses on developing resource-efficient quantum algorithms for molecular simulation and implementing them on quantum hardware, either via the cloud or with experimental collaborators. The research aims to advance quantum computing by creating algorithms capable of simulating molecular and material systems in both ground and excited states, preparing for the era of logical qubits and fault-tolerant quantum computing, and improving circuit efficiency, runtimes, and error correction schemes. The project also includes the development of software toolkits and middleware for a broad range of quantum computing applications, including device emulators. Students will engage in both analytical and numerical research, with opportunities to use prototype cloud quantum computers and collaborate with experimental teams. Applications of the developed quantum solutions will be explored in transformative technologies such as clean energy catalysts and advanced batteries. The project offers substantial training in scientific, technical, and commercial skills, and includes funded visits to collaborating groups in Singapore, Greece, and leading teams in the US, Asia, and the EU. The ideal candidate will have a strong foundation in physical, engineering, or chemical sciences, complemented by mathematical and programming skills, and prior exposure to quantum computing algorithms or programming is a plus. The position is open to UK, EU, Horizon Europe, and international students, with UK students receiving a competitive UKRI TechExpert stipend of around £31k per year for four years. Studentships at the UKRI base rate are available for EU and international students, and overseas applicants with external funding are encouraged to apply. The University of Southampton is committed to equality, diversity, and sustainability, offering support for personal circumstances and part-time study. The application deadline is July 31, 2026, with an earlier deadline for international applicants. For more information, contact Prof Dimitrios Angelakis at d.angelakis@southampton.ac.uk.