Digital quantum simulation of spin models with circuit quantum electrodynamics

TL;DR

This paper demonstrates a digital quantum simulation of Heisenberg and Ising spin models using a superconducting circuit with two transmon qubits, showcasing a universal approach to simulate complex quantum spin dynamics.

Contribution

It introduces a resource-efficient method for digital quantum simulation of spin models on superconducting qubits, utilizing natural exchange interactions for model-specific evolution.

Findings

Successfully simulated Heisenberg and Ising models

Demonstrated polynomial resource scaling

Showed potential for general spin dynamics simulation

Abstract

Systems of interacting quantum spins show a rich spectrum of quantum phases and display interesting many-body dynamics. Computing characteristics of even small systems on conventional computers poses significant challenges. A quantum simulator has the potential to outperform standard computers in calculating the evolution of complex quantum systems. Here, we perform a digital quantum simulation of the paradigmatic Heisenberg and Ising interacting spin models using a two transmon-qubit circuit quantum electrodynamics setup. We make use of the exchange interaction naturally present in the simulator to construct a digital decomposition of the model-specific evolution and extract its full dynamics. This approach is universal and efficient, employing only resources which are polynomial in the number of spins and indicates a path towards the controlled simulation of general spin dynamics in superconducting qubit platforms.