Non-Abelian topological order and anyons on a trapped-ion processor

• 成果类型: Article
• 署名作者: Iqbal, Mohsin; Tantivasadakarn, Nathanan; Verresen, Ruben; Campbell, Sara L.; Dreiling, Joan M.; Figgatt, Caroline; Gaebler, John P.; Johansen, Jacob; Mills, Michael; Moses, Steven A.; Pino, Juan M.; Ransford, Anthony; Rowe, Mary; Siegfried, Peter; Stutz, Russell P.; Foss-Feig, Michael; Vishwanath, Ashvin; Dreyer, Henrik
• 署名单位: California Institute of Technology; California Institute of Technology; Harvard University
• 刊物名称: Nature
• ISSN/ISSBN: 0028-6867
• DOI: 10.1038/s41586-023-06934-4
• 发表日期: 2024-02-15
• 关键词: quantum computation; statistics; state

摘要

Non-Abelian topological order is a coveted state of matter with remarkable properties, including quasiparticles that can remember the sequence in which they are exchanged1-4. These anyonic excitations are promising building blocks of fault-tolerant quantum computers5,6. However, despite extensive efforts, non-Abelian topological order and its excitations have remained elusive, unlike the simpler quasiparticles or defects in Abelian topological order. Here we present the realization of non-Abelian topological order in the wavefunction prepared in a quantum processor and demonstrate control of its anyons. Using an adaptive circuit on Quantinuum's H2 trapped-ion quantum processor, we create the ground-state wavefunction of D4 topological order on a kagome lattice of 27 qubits, with fidelity per site exceeding 98.4 per cent. By creating and moving anyons along Borromean rings in spacetime, anyon interferometry detects an intrinsically non-Abelian braiding process. Furthermore, tunnelling non-Abelions around a torus creates all 22 ground states, as well as an excited state with a single anyon-a peculiar feature of non-Abelian topological order. This work illustrates the counterintuitive nature of non-Abelions and enables their study in quantum devices. A trapped-ion quantum processor is used to create ground-states and excitations of non-Abelian topological order on a kagome lattice of 27 qubits with high fidelity.