Quantum simulation is a powerful tool for investigating the behavior of quantum algorithms while still in the Noisy Intermediate-Scale Quantum (NISQ) era, and quantum simulation has been shown to be well suited to field programmable gate arrays (FPGA). In this work, I implement a variational quantum algorithm on an FPGA to simulate the Lipkin-Meshkov-Glick model, a quantum many-body system with applications in nuclear physics. Simulating variational quantum circuits allows for multiple circuits to be solved for each compilation step, which is the most computationally expensive aspect of FPGA design. This work highlights the potential of FPGA-based quantum simulation as a tool for investigating the behavior of complex variational quantum systems.
