This PhD project at the University of Southampton, within the EPSRC Centre for Doctoral Training in Quantum Technology Engineering, focuses on the rapidly emerging field of Quantum Computational Fluid Dynamics (QCFD). The research aims to combine quantum computing and computational fluid dynamics (CFD) to simulate complex nonlinear systems, such as turbulence and shockwaves, which are critical in fields like aerodynamics, climate modelling, and battery design. The project will involve developing and implementing quantum variational algorithms on quantum computers, bridging fundamental physics with quantum algorithmic innovation to enable next-generation fluid simulation. Candidates will engage in both analytical studies and numerical simulations, with opportunities to test algorithms on prototype cloud quantum computers. The research will also include funded visits to collaborating groups in Greece, Germany, Austria, Singapore, and leading teams in the US and Asia. Applicants should have a strong background in physics, applied mathematics, engineering, or computer science, with prior experience in CFD, quantum computing, or PDE simulations considered advantageous. The position offers a competitive UKRI TechExpert stipend of approximately £31,000 per year for UK students, with studentships at the UKRI base rate available for EU, Horizon Europe, and international students. Overseas students with external funding are also encouraged to apply. The University of Southampton is committed to equality, diversity, and inclusivity, and supports applicants seeking part-time study. The application deadline is July 31, 2026, with an earlier deadline of March 31, 2026 for international applicants. To apply, candidates should use the university's online portal, select the appropriate programme, and include all required documents. For further information, contact Prof Dimitrios Angelakis at d.angelakis@southampton.ac.uk.

This PhD project, hosted at the University of Southampton within the EPSRC Centre for Doctoral Training in Quantum Technology Engineering, focuses on developing qubit efficient quantum optimization algorithms and their application to real-world industrial problems. The research addresses the critical challenge of bridging the gap between quantum algorithmic requirements and the limitations of current quantum hardware. You will co-develop novel quantum approaches to tackle combinatorial binary optimization problems, which are notoriously difficult for classical computers. The project involves both fundamental research—designing and benchmarking quantum algorithms using classical emulators, cloud quantum computers, and collaborations with experimental teams—and applied research, translating these findings into quantum software for industries such as logistics, pharma, transport, manufacturing, finance, aviation, and energy management. The work will explore quantum digital, annealing, and variational algorithms, aiming to reduce the number of physical qubits required and enable larger problem instances to be solved on near-term quantum processors. Industrial use cases include optimizing shipping routes, financial transaction settlements, and energy management. The project offers substantial training in scientific, technical, and commercial skills, and includes funded visits to leading quantum research groups in Singapore, Greece, the US, Asia, and the EU. Applicants should have a strong foundation in physical, engineering, or mathematical sciences, with previous exposure to quantum algorithms or programming courses considered a plus. The position is open to UK, EU, Horizon Europe, and international students, with a competitive UKRI TechExpert stipend of approximately £31k per year for UK students and studentships at the UKRI base rate for others. Overseas students with external funding are also encouraged to apply. The University of Southampton is committed to equality, diversity, and sustainability, and supports applicants seeking part-time study. The application deadline is July 31, 2026, with an earlier deadline of March 31, 2026 for international applicants. For further details, contact Prof Dimitrios Angelakis at d.angelakis@southampton.ac.uk.

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.