Large-scale GHZ states through topologically protected zero-energy mode in a superconducting qutrit-resonator chain

TL;DR

This paper introduces a topologically protected superconducting qutrit-resonator chain model that enables robust generation of large-scale GHZ states, with potential for high-fidelity quantum information processing.

Contribution

It presents a novel topological model for generating large-scale GHZ states with robustness against disorders and losses, including practical schemes and experimental considerations.

Findings

Zero-energy mode enables state transfer and GHZ state generation.

Schemes demonstrate robustness against device imperfections.

Potential to generate dozens of high-fidelity GHZ states.

Abstract

We propose a superconducting qutrit-resonator chain model, and analytically work out forms of its topological edge states. The existence of the zero-energy mode enables to generate a state transfer between two ends of the chain, accompanied with state flips of all intermediate qutrits, based on which $N$-body Greenberger-Horne-Zeilinger (GHZ) states can be generated with great robustness against disorders of coupling strengths. Three schemes of generating large-scale GHZ states are designed, each of which possesses the robustness against loss of qutrits or of resonators, meeting a certain performance requirement of different experimental devices. With experimentally feasible qutrit-resonator coupling strengths and available coherence times of qutrits and resonators, it has a potential to generate large-scale GHZ states among dozens of qutrits with a high fidelity. Further, we show the experimental consideration of generating GHZ states based on the circuit QED system, and discuss the prospect of realizing fast GHZ states.