Benhemou, Asmae;
Pachos, Jiannis K;
Browne, Dan E;
(2022)
Non-Abelian statistics with mixed-boundary punctures on the toric code.
Physical Review A
, 105
(4)
, Article 042417. 10.1103/physreva.105.042417.
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Abstract
The toric code is a simple and exactly solvable example of topological order realizing Abelian anyons. However, it was shown to support nonlocal lattice defects, namely twists, which exhibit non-Abelian anyonic behavior [Phys. Rev. Lett. 105, 030403 (2010)]. Motivated by this result, we investigated the potential of having non-Abelian statistics from puncture defects on the toric code. We demonstrate that an encoding with mixed-boundary punctures reproduces Ising fusion, and a logical Pauli-X upon their braiding. Our construction paves the way for local lattice defects to exhibit non-Abelian properties that can be employed for quantum information tasks.
| Type: | Article |
|---|---|
| Title: | Non-Abelian statistics with mixed-boundary punctures on the toric code |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1103/physreva.105.042417 |
| Publisher version: | http://dx.doi.org/10.1103/PhysRevA.105.042417 |
| Language: | English |
| Additional information: | This version is the version of record. For information on re-use, please refer to the publisher's terms and conditions. |
| UCL classification: | 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 UCL > Provost and Vice Provost Offices > UCL BEAMS UCL |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10147603 |
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