The final project consists of two mini projects, 1) a quantum calculator and 2) quantum Hamiltonian simulation of the 1D Ising model.

Project 1: In the first mini project we designed a quantum circuit, which is able to perform tow elementary arithmetic operations, addition and multiplication. The algorithm uses the quantum fourier transformation and a version of Draper's addition algorithm.

Project 2: The second mini project uses a quantum circuit to simulate the 1D Ising model in a transverse magnetic field. We perform quantum Hamiltonian simulation using the Suzuki-Trotter algorithm and determine the evolution of the magnetization. Additionally we find the ground state and ground state energy of the system as a function of its parameters using the variational quantum eigensolver algorithm.

Project 1: https://github.com/maxruhdorfer/QuantumCalculator
Project 2: https://github.com/maxruhdorfer/IsingModelQuantumSimulation