Hybrid cavity QED with Rydberg ions and superconducting circuits

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Hybrid approaches to quantum computing combine the attractive characteristics of multiple physical systems. In this project the aim is to couple ions in circular Rydberg states to a superconducting resonator. Circular Rydberg states have long lifetimes which makes them suitable for use as a quantum memory, whereas superconducting qubits have fast gate times but short coherence times. At UCL we are in a world leading position, as the experimental apparatus for coupling a beam of neutral Rydberg atoms to a superconducting resonator has already been realised. Coupling Rydberg ions will be the next iteration to an already best in class result. The research will begin by devising a scheme to pre- pare a beam of Barium ions in circular Rydberg states and performing microwave spectroscopy, which offers the ability to measure the states with unprecedented precision. In phase two of the project the Rydberg ion beam will be incorporated into the Rydberg atom - resonator coupling experiment. The ultimate aim will be to trap a single Rydberg ion close to the resonator and achieve strong coupling. This result could open up avenues such as coupling Rydberg ions via superconducting circuitry, and microwave to optical photon conversion which is a requirement for quantum networks.