An Introduction to Quantum Computing for Lattice Quantum Field Theory - Lecture II

Classical state-of-the-art numerical techniques have pushed the measurements of quantities of interest for Lattice Quantum Field Theories to unprecedented degrees of accuracy. However, these techniques have limitations and some problems are still difficult to investigate. As Feynman noticed decades ago, quantum computation presents itself as a more natural setting to study the physics of quantum systems; as quantum computers and quantum technologies are improving from year to year, quantum computation techniques are becoming increasingly important tools in the theoretical physicist's toolkit. In these lectures I will first give a broad introduction to the fundamentals of quantum computing, discussing some of the main algorithms and applications. Then, I will discuss some of the most promising quantum computing techniques for solving Lattice Quantum Field Theory problems in regimes where classical methods cannot be applied or are especially expensive from the computational point of view.