Idealistic dynamical simultions of quantum multi-dimensional quantum-manybody systems*

WIthin recent years there has been a huge push by computational condensed matter researchers to implement the use of quantum computers within their studies. Computational condensed matter researchers spend a lot of time looking at quantum many-body systems and their properties by building simulations, but due to the current hardware limitations with the best of our quantum computers and the faster numerical handling of data, a switch to quantum computers seems like a natural choice. With the rise and rapid growth in development of quantum hardware, it leaves us to question the limit of the hardware and if is can be used to study complex and less established condensed matter models.In 2019 a small team at IBM aimed to answer this question by studying well known 1 dimensional spin spin models, and found that it if we can find an appropriate mapping of the model into the quantum computer, then we can use a quantum computer to build simulations and study quantum many body systems. This was a big development for the field of computational condensed matter physics, but this does not encompass a big group of researchers studying multi-dimensional quantum many body systems. With this project I aim to test the limits of the use of quantum computers within condensed matter research by using them to study well known and established spin systems in multiple dimensions, including spin direction and lattice dimensionality. I then will compare the results from the quantum computer to classical simulations of the same model.