Benhemou, Asmae;
Angkhanawin, Toonyawat;
Adams, Charles S;
Browne, Dan E;
Pachos, Jiannis K;
(2023)
Universality of
Z3
parafermions via edge-mode interaction and quantum simulation of topological space evolution with Rydberg atoms.
Physical Review Research
, 5
(2)
, Article 023076. 10.1103/physrevresearch.5.023076.
Preview |
Text
PhysRevResearch.5.023076.pdf - Published Version Download (1MB) | Preview |
Abstract
Parafermions are Z n generalizations of Majorana quasiparticles, with fractional non-Abelian statistics. They can be used to encode topological qudits and perform Clifford operations by their braiding. Here we investigate the generation of quantum gates by allowing Z 3 parafermions to interact in order to achieve universality. In particular, we study the form of the nontopological gate that arises through direct short-range interaction of the parafermion edge modes in a Z 3 parafermion chain. We show that such an interaction gives rise to a dynamical phase gate on the encoded ground space, generating a non-Clifford gate which can be tuned to belong to even levels of the Clifford hierarchy. We illustrate how to access highly noncontextual states using this dynamical gate. Finally, we propose an experiment that simulates the braiding and dynamical evolutions of the Z 3 topological states with Rydberg atom technology.
| Type: | Article |
|---|---|
| Title: | Universality of Z3 parafermions via edge-mode interaction and quantum simulation of topological space evolution with Rydberg atoms |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/physrevresearch.5.023076 |
| Publisher version: | https://doi.org/10.1103/PhysRevResearch.5.023076 |
| Language: | English |
| Additional information: | Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Physics and Astronomy |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10169505 |
Loading...
Loading...Loading...Loading...Archive Staff Only
 |
View Item |
