This paper explores the simulation of groundstate and dynamical quantum phase transitions using a superconducting quantum computer. The researchers optimized a translationally invariant, sequential quantum circuit on Google's Rainbow device to simulate the quantum Ising model, focusing on its quantum critical point. They employed error mitigation strategies and demonstrated the simulation of both groundstate and dynamical quantum phase transitions, avoiding finite-size scaling effects through the use of sequential quantum circuits inspired by infinite matrix product states (iMPS).

James Dborin, Vinul Wimalaweera, F. Barratt, Eric Ostby, Thomas E. O'Brien, A. G. Green