Quantum State Transfer in Interacting Multiple-Excitation Systems

In recent research, quantum state transfer has been studied in various systems. In many cases, protocols for generating perfect quantum state transfer have been discovered and some have been realized experimentally. However, significantly less work has been done on systems with interacting excitations. We extend the study of quantum state transfer to three interacting multiple-excitation models: Jaynes-Cummings-Hubbard, Hubbard, and Periodic-Anderson. We utilize specialized Monte Carlo optimization algorithms that target the time evolution operator to engineer high-fidelity quantum state transfer. In each model, we will quantify the fidelity we can achieve with our methods and discuss limitations on which states can be transferred simultaneously.