2018/10/05 by Stefan Backens, Alexander Shnirman, Yuriy Makhlin · 20 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Combinatorics #Computer science #Mathematics #Topological Materials and Phenomena #Tree (set theory) #cond-mat.other #quant-ph
paper · pdf · doi:10.1038/s41598-018-38128-8
published in Scientific Reports 9(1), 2598 (Nature Portfolio)
arxiv created 2018/10/05 · openalex publication_date 2019/02/22 · arxiv updated 2021/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.