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

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.

15 pages; 9 figures

References in corpus (17)

• Beyond the Jaynes-Cummings model: circuit QED in the ultrastrong coupling regime
• Microwave photonics with superconducting quantum circuits
• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Superconducting Circuits and Quantum Information
• Shortcut to adiabatic passage in two and three level atoms
• Effective Hamiltonian Theory and Its Applications in Quantum Information
• Observation of a dissipative phase transition in a one-dimensional circuit QED lattice
• Possible realization of entanglement, logical gates and quantum information transfer with superconducting-quantum-interference-device qubits in cavity QED
• Unsupervised Machine Learning on a Hybrid Quantum Computer
• Deterministic entanglement of photons in two superconducting microwave resonators
• Tunable coupling in circuit quantum electrodynamics with a superconducting V-system
• Superadiabatic population transfer in a three-level superconducting circuit
• Fast and robust quantum state transfer in a topological Su-Schrieffer-Heeger chain with Next-to-Nearest-Neighbour interactions
• Engineering of topological state transfer and topological beam splitter in an even-size Su-Schrieffer-Heeger chain
• Resonance and rapid decay of exponential sums of Fourier coefficients of a Maass form for $G{L}_m(\mathbb{Z})$
• Mott insulator-superfluid phase transition in a detuned multi-connected Jaynes-Cummings lattice