This PhD project, based at the University of Southampton within the EPSRC Centre for Doctoral Training in Quantum Technology Engineering, focuses on developing quantum optimal control (QOC) methods for symmetry-based NMR sequences. The research leverages the power of symmetry in selecting NMR interactions and creating correlated spin states, building on established analytical approaches such as average Hamiltonian and Floquet theory. The project aims to achieve a step change in the efficiency and robustness of NMR experiments by integrating Hamiltonian symmetry, periodicity, and quantum optimal control. Symmetry-based sequences are widely used in solid-state NMR, particularly with magic-angle spinning (MAS NMR), to control the average Hamiltonian and selectively recouple spin interactions. These techniques enable the creation of multi-spin correlated states, parameter filtering, and structural analysis of materials. Recent advances have extended these methods to liquid-state NMR. However, traditional analytical approaches can be limited by experimental imperfections and the complexity of higher-order Hamiltonians. This project will employ full numerical calculations, guided by symmetry and periodicity principles, to develop new QOC symmetry-inspired sequences. The approach is expected to significantly reduce optimization time and enable the study of more complex spin systems, including nuclei with spin greater than 1/2. The research will also explore pattern recognition in QOC methods, potentially leading to the discovery of new classes of symmetry-based sequences with semi-analytical descriptions. The project offers substantial training in scientific, technical, and commercial skills, and possible industrial sponsorship is under consideration. Funding is competitive, with UK students eligible for a 4-year UKRI TechExpert tax-free stipend of approximately £31k per year, and studentships at the UKRI base rate available for EU, Horizon Europe, and international students. Overseas students with external funding are encouraged to apply. The university supports equality, diversity, and inclusivity, and welcomes applicants seeking part-time study. The application deadline is 31 July 2026, with an earlier deadline of 31 March 2026 for international applicants. For further information, contact Professor Marina Carravetta ([email protected]).

This PhD project, based at the University of Southampton within the EPSRC Centre for Doctoral Training in Quantum Technology Engineering, explores the use of diamond nitrogen-vacancy (NV) centers as nuclear polarization injectors for spin-based quantum sensing. The research aims to develop novel nuclear hyperpolarization protocols, specifically Dynamic Nuclear Polarization (DNP), leveraging the unique capabilities of NV centers to inject polarization without the need for strong external magnetic fields. The project combines theoretical and experimental approaches, utilizing periodic control fields and Floquet-engineering methods to amplify quantum signals and facilitate quantum sensing operations. NV centers are optically active color centers in diamond, recognized for their flexibility in quantum computation and sensing applications. Their operational modes can be dynamically reconfigured using optical and magnetic control, making them versatile tools for quantum technologies. The successful candidate will gain expertise in optical and radio-frequency quantum control strategies, including Floquet-engineering and Dynamic Decoupling, which are widely applicable across quantum platforms. The project is tailored to the candidate’s interests and may encompass engineering, experimental, and theoretical components. Applicants from various scientific backgrounds are encouraged, with preference given to those possessing strong mathematical skills, experience in optics or magnetic resonance, and a background in quantum physics. The position offers substantial training in scientific, technical, and commercial skills, and is supported by a competitive UKRI TechExpert stipend of approximately £31k per year for UK students, with funding also available for EU, Horizon Europe, and international students. The University of Southampton is committed to equality, diversity, and inclusivity, and welcomes applications from candidates seeking part-time study. The institution provides support for personal circumstances and has onsite childcare facilities. The application deadline is July 31, 2026, with an earlier deadline for international applicants. For further information, candidates are encouraged to contact Dr Christian Bengs or Prof Malcolm Levitt.