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.
Description
Creation of Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor
%0 Journal Article
%1 iqbal2023creation
%A Iqbal, Mohsin
%A Tantivasadakarn, Nathanan
%A Verresen, Ruben
%A Campbell, Sara L.
%A Dreiling, Joan M.
%A Figgatt, Caroline
%A Gaebler, John P.
%A Johansen, Jacob
%A Mills, Michael
%A Moses, Steven A.
%A Pino, Juan M.
%A Ransford, Anthony
%A Rowe, Mary
%A Siegfried, Peter
%A Stutz, Russell P.
%A Foss-Feig, Michael
%A Vishwanath, Ashvin
%A Dreyer, Henrik
%D 2023
%K quantum-computing
%T Creation of Non-Abelian Topological Order and Anyons on a Trapped-Ion
Processor
%U http://arxiv.org/abs/2305.03766
%X 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.
@article{iqbal2023creation,
abstract = {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.},
added-at = {2023-05-09T21:37:07.000+0200},
author = {Iqbal, Mohsin and Tantivasadakarn, Nathanan and Verresen, Ruben and Campbell, Sara L. and Dreiling, Joan M. and Figgatt, Caroline and Gaebler, John P. and Johansen, Jacob and Mills, Michael and Moses, Steven A. and Pino, Juan M. and Ransford, Anthony and Rowe, Mary and Siegfried, Peter and Stutz, Russell P. and Foss-Feig, Michael and Vishwanath, Ashvin and Dreyer, Henrik},
biburl = {https://www.bibsonomy.org/bibtex/20aad4a9b08a7762ad6fee4c73e25a0e9/nburke},
description = {Creation of Non-Abelian Topological Order and Anyons on a Trapped-Ion Processor},
interhash = {e0ce70c68b1e2a717f68b8c48f025f55},
intrahash = {0aad4a9b08a7762ad6fee4c73e25a0e9},
keywords = {quantum-computing},
note = {cite arxiv:2305.03766Comment: 6 + 20 pages, 6 + 5 figures, 3 tables},
timestamp = {2023-05-09T21:37:07.000+0200},
title = {Creation of Non-Abelian Topological Order and Anyons on a Trapped-Ion
Processor},
url = {http://arxiv.org/abs/2305.03766},
year = 2023
}