Simulating groundstate and dynamical quantum phase transitions on a superconducting quantum computer

Understand

We optimise a translationally invariant, sequential quantum circuit on a superconducting quantum device to simulate the groundstate of the quantum Ising model through its quantum critical point.

• We further demonstrate how the dynamical quantum critical point found in quenches of this model across its quantum critical point can be simulated.
• Our approach avoids finite-size scaling effects by using sequential quantum circuits inspired by infinite matrix product states.
• We provide efficient circuits and a variety of error mitigation strategies to implement, optimise and time-evolve these states.