  Condensed matter physics plays a crucial role in modern scientific research
and technological advancements, providing insights into the behavior of
materials and their fundamental properties. Understanding complex phenomena and
systems in condensed matter physics poses significant challenges due to their
inherent intricacies. Over the years, computational approaches have been
pivotal in unraveling the mysteries of condensed matter physics, but they face
limitations when dealing with large-scale systems and simulating quantum
effects accurately. Quantum simulation and quantum computation techniques have
emerged as promising tools for addressing these limitations, offering the
potential to revolutionize our understanding of condensed matter physics. In
this paper, we focus on the simulation of Anderson localization in the
Heisenberg spin chain systems and explore the effects of disorder on closed and
open chain systems using quantum computers.
