Dynamical Simulations of Quantum Spin Hamiltonians on Quantum Hardware

<p dir="ltr">In this thesis, I present the work I have completed over the duration of my Ph.D. degree. The work encompasses simulating high-fidelity dimer excitations using quantum hardware, developing an algorithm to prepare Gibbs states (i.e., quantum thermal states) on quantum hardware based on linked-cluster expansions, and studying criticality and phase transitions in statistical mechanical models by mapping them to logical error thresholds in quantum error correction experiments.</p>