On quantum simulation of anyons:
on superconducting qbits:
“the anyons are not quasiparticles in the sense of eigenstates that persist throughout a Hamiltonian evolution.”
on trapped-ion quantum hardware:
Daniel Nigg, Markus Mueller, Esteban A. Martinez, Philipp Schindler, Markus Hennrich, Thomas Monz, Miguel A. Martin-Delgado, Rainer Blatt: Experimental Quantum Computations on a Topologically Encoded Qubit, Science 345 6194 (2014) 302-305 [doi:10.1126/science.1253742, arXiv:1403.5426]
K. J. Satzinger: Realizing topologically ordered states on a quantum processor, Science 374 (2021) 1237–1241 [doi:10.1126/science.abi8378, arXiv:2104.01180]
“simulate anyon interferometry”
Shibo Xu: Digital simulation of non-Abelian anyons with 68 programmable superconducting qubits, Chin. Phys. Lett. 40 (2023) 060301 [doi:10.1088/0256-307X/40/6/060301, arXiv:2211.09802]
“experimental quantum digital simulation of projective non-Abelian anyons”
Mohsin Iqbal, Nathanan Tantivasadakarn: Topological Order from Measurements and Feed-Forward on a Trapped Ion Quantum Computer, Nature Communications Physics 7 (2024) 205 [doi:10.1038/s42005-024-01698-3, arXiv:2302.01917]
Mohsin Iqbal, Nathanan Tantivasadakarn, R. Verresen et al., Figure 5 in : Non-Abelian topological order and anyons on a trapped-ion processor, Nature 626 (2024) 505–511 [doi:10.1038/s41586-023-06934-4, arXiv:2305.03766]
Nature research briefing: Topological matter created on a quantum chip produces quasiparticles with computing power [doi:10.1038/d41586-023-04126-8]
Shibo Xu et al.: Non-Abelian braiding of Fibonacci anyons with a superconducting processor, Nature Physics 20 (2024) 1469–1475 [doi:10.1038/s41567-024-02529-6]
pp. 1470: “[we] use the idea of digital quantum simulation to implement creations and braidings of Fibonacci anyons […] the braidings carried out in our experiment involve no Hamiltonian dynamics of quasiparticle excitations. As a result, they are not endowed with topological protection that naturally arises from an energy gap separating the many-body degenerate ground states from the low-lying excited states”
Adam Gammon-Smith, Michael Knap, Frank Pollmann: Simulating Topological Order on Quantum Processors, Nat Rev Phys (2026) [doi:10.1038/s42254-025-00911-8, arXiv:2510.07023]
Mohsin Iqbal et al.: Universal gates from braiding and fusing anyons on quantum hardware, Nature 655 (2026) 591–597 (2026) [doi:10.1038/s41586-026-10709-y, arXiv:2601.20956]
Last revised on October 7, 2026 at 11:35:04. See the history of this page for a list of all contributions to it.