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

TL;DR

This paper demonstrates how to simulate groundstate and dynamical quantum phase transitions of the quantum Ising model on a superconducting quantum computer using optimized sequential quantum circuits inspired by infinite matrix product states.

Contribution

It introduces an efficient method for simulating quantum critical phenomena on superconducting devices, avoiding finite-size effects with novel circuit design and error mitigation.

Findings

Successful simulation of groundstate across quantum critical point

Demonstration of dynamical quantum critical point simulation

Implementation of error mitigation strategies

Abstract

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.