Trotterized Hamiltonian Simulation Project - Part I

This project consists of two parts. Part I is this document, and contains of theory exercises around the idea of simulating the time evolution of a quantum system: we learn about Hamiltonians, matrix exponentials, and the Trotter expansion. Part II will be released next week.

The project should be solved in pairs. For Part I, you will upload a pdf (ideally compiled from latex, but a scan of neatly handwritten solutions is also acceptable). 

Hand-In: Submit one solution per student pair. Make sure that the SCIPER numbers of both students are included in the document.