Realizing symmetry-protected topological phases in a spin-1/2 chain with next-nearest neighbor hopping on superconducting qubits

TL;DR

This paper demonstrates the experimental realization of symmetry-protected topological phases in a spin-1/2 chain with next-nearest-neighbor hopping using a superconducting quantum processor, showcasing the potential of digital quantum simulation.

Contribution

First experimental implementation of SPT phases with next-nearest-neighbor interactions on a superconducting quantum processor.

Findings

Observation of edge-localized excitations in SPT phases

Detection of finite string order parameters

Implementation on up to 11 qubits

Abstract

The realization of novel phases of matter on quantum simulators is a topic of intense interest. Digital quantum computers offer a route to prepare topological phases with interactions that do not naturally arise in analog quantum simulators. Here, we report the realization of symmetry-protected topological (SPT) phases of a spin-{1/2} Hamiltonian with next-nearest-neighbor hopping on up to 11 qubits on a programmable superconducting quantum processor. We observe clear signatures of the two distinct SPT phases, such as excitations localized to specific edges and finite string order parameters. Our work advances ongoing efforts to realize novel states of matter with exotic interactions on digital near-term quantum computers.