On Design and Testing of a Spectrometer Based on An FPGA Development Board for use with Optimal Control Theory and High-Q Resonators

Recent developments in quantum information processing have presented new and interesting ways to perform advanced algorithms and improve signal to noise ratios. Examples of these include optimal control theory pulse generation algorithms and the usage of high Q-factor resonators. However, these developments are blocked by current spectrometer designs. This thesis details the design and testing of a new spectrometer with sufficient accuracy, bandwidth, and control to implement these advances. The proposed solution is to use an FPGA-based development board together with custom computer software. This gives access to high-speed analogue inputs and outputs, as well as digital output pins. The spectrometer is then used in two X-band electron spin resonance experiments, showing how the advantages of the system allow for superior results to that possible with the previous equipment. In addition, the setup is used in a Nitrogen Vacancy (NV) system where a rabi experiment is performed.