Idealized Dynamical Simulations of Multi-Dimensional Quantum Many-Body Systems in the X-Z Model

In recent years, computational condensed matter research has increasingly explored quantum computers as tools to advance studies in quantum many-body systems. Traditional simulations in this field, while robust, are often limited by classical hardware, making quantum computing a natural step forward due to its potential for managing complex interactions and states. With the rapid evolution of quantum hardware, the field now confronts the question of how effectively these systems can handle more complex, multi-dimensional models, particularly less established ones like the X-Z model. In 2019, an IBM team demonstrated this potential by simulating one-dimensional spin models on quantum computers, showing that with proper mapping, quantum simulations of many-body systems are feasible. Building on this foundation, this project aims to push these boundaries further, utilizing quantum computing to simulate multi-dimensional spin systems, with a focus on spin directionality and lattice dimensionality. By applying these simulations to the X-Z model, we intend to assess quantum hardware's viability for complex, multi-dimensional studies and to compare quantum simulation results to those obtained from classical approaches