Non-equilibrium dynamics in strongly entangled systems pose major computational challenges, as classical methods struggle to handle large particle numbers and high entanglement. This PhD project aims to harness recent advances in quantum computing to simulate such systems. At IJCLab/Paris Saclay University, prior work has focused on static properties of interacting particles, but this research will extend to time-dependent, non-equilibrium phenomena, which are more computationally demanding. The project's goals are threefold: (1) to deepen the understanding of quantum information theory, particularly in quantifying entanglement, (2) to master quantum simulation techniques for systems of interacting particles, and (3) to apply and potentially enhance existing quantum algorithms for simulating non-equilibrium dynamics. These simulations will be performed using IBM’s Qiskit quantum computing platform, with a focus on systems where interaction strength can be controlled. This research holds potential for significant breakthroughs in fields like nuclear physics, neutrino oscillations, and condensed matter, where strongly entangled particles and non-equilibrium dynamics are critical. By expanding the capabilities of quantum simulations, the project could contribute to both the development of new quantum algorithms and a deeper understanding of fundamental physics.