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 Repjournal_title
Scientific reportsauthors
Backens S,Shnirman A,Makhlin Ydoi
10.1038/s41598-018-38128-8subject
Has Abstractpub_date
2019-02-22 00:00:00pages
2598issue
1issn
2045-2322pii
10.1038/s41598-018-38128-8journal_volume
9pub_type
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