IBM Cloud Quantum Computer Modeling of the 1-D Transverse-Field Ising Model*

Quantum computing is an intriguing area of research due to the potential advantages that quantum computers have over classical computers in certain tasks such as prime factorization, unstructured search, and the simulation of quantum many-body systems. In this project, we perform quantum simulation of the transverse-field Ising model (TFIM) using IBM's cloud quantum computers. The TFIM is a prototype for studying quantum phase transitions in spin chains, which can provide insight into ferromagnetic materials and quantum critical behavior. We develop a protocol to digitally simulate the many-body Hamiltonian of a 1-dimensional TFIM chain using quantum logic gates in the IBM Qiskit and cloud platforms. By simulating the time evolution and characterizing the quantum states of this system at different TFIM parameters, we demonstrate the change in the many-body phase of the TFIM model.