Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor
| Autor: | 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 |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Nature 626 (2024) 505-511 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1038/s41586-023-06934-4 |
| Popis: | Non-Abelian topological order (TO) is a coveted state of matter with remarkable properties, including quasiparticles that can remember the sequence in which they are exchanged. These anyonic excitations are promising building blocks of fault-tolerant quantum computers. However, despite extensive efforts, non-Abelian TO and its excitations have remained elusive, unlike the simpler quasiparticles or defects in Abelian TO. In this work, we present the first unambiguous realization of non-Abelian TO 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 $D_4$ TO on a kagome lattice of 27 qubits, with fidelity per site exceeding $98.4\%$. By creating and moving anyons along Borromean rings in spacetime, anyon interferometry detects an intrinsically non-Abelian braiding process. Furthermore, tunneling 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 TO. This work illustrates the counterintuitive nature of non-Abelions and enables their study in quantum devices. Comment: 6 + 20 pages, 6 + 5 figures, 3 tables v2: Changed title, added a reference |
| Databáze: | arXiv |
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