Jordan-Wigner transformations for tree structures.

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.

journal_name

Sci Rep

journal_title

Scientific reports

authors

Backens S,Shnirman A,Makhlin Y

doi

10.1038/s41598-018-38128-8

subject

Has Abstract

pub_date

2019-02-22 00:00:00

pages

2598

issue

1

issn

2045-2322

pii

10.1038/s41598-018-38128-8

journal_volume

9

pub_type

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