Cellular Automata, Quantum Circuits, and Chaos.

The goal of this experiment is to study the statistical nature and dynamics of classical and quantum cellular automata (CA). CA are discrete models, composed of cells that govern their replication and destruction. These models are useful for simulating natural sequences. Cells in these systems change states depending on the configurations of their neighbors. Location interactions between neighbors translate to global changes. Classically, cells can occupy a fixed number of states. In the quantum case, cells act like qubits and can occupy infinitely many states. This project will use code in Python, Julia, and C++ to generate multiple iterations of these evolving systems. This project will test to see which interactions and conditions tend to drive systems to chaos and others to stability.