Quantum programming and simulation of the Hubbard model using Q#

Sammanfattning: This paper gives a brief introduction to the basic concepts of quantum computing and simulation as well as quantum programming using Q#. These concepts are then applied by implementing the 2D Hubbard model for fermions interacting on a lattice. Eigenstate energies of the model are obtained for small lattices by running the program on a simulated quantum computer and the resulting values are, when verifiable, accurate. Besides this, the implementation process demonstrates the utility of a framework such as Microsoft’s Quantum Development Kit (QDK) when writing quantum algorithms.