Jordan-Wigner transformations for tree structures
Other Condensed Matter
2021-02-19 v1 Quantum Physics
Abstract
The celebrated Jordan--Wigner transformation provides an efficient mapping between spin chains and fermionic systems in one dimension. Here we extend this spin-fermion mapping to arbitrary tree structures, which enables mapping between fermionic and spin systems with nearest-neighbor coupling. The mapping is achieved with the help of additional spins at the junctions between one-dimensional chains. This property allows for straightforward simulation of Majorana braiding in spin or qubit systems.
Keywords
Cite
@article{arxiv.1810.02590,
title = {Jordan-Wigner transformations for tree structures},
author = {Stefan Backens and Alexander Shnirman and Yuriy Makhlin},
journal= {arXiv preprint arXiv:1810.02590},
year = {2021}
}