With the increasing attention and investments drawn to the Quantum Computing field, a number of different technologies and multiple algorithms have emerged in an effort to study the capabilities of this innovative computing paradigm. The thesis covers the study of the Quantum Computing formalism, the peculiarities characterizing different technologies and the potential use cases that are expected to benefit from applying Quantum Computing techniques, specifically in Combinatorial Optimization. The difference between the two main approaches of quantum computing, Digital Quantum Computing and Analog Hamiltonian Simulation, was studied. While the former performs computation with Quantum Gates and Circuits, the latter simulates complex quantum systems by replicating their Hamiltonian dynamics described by the Schrödinger equation.