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Jordan-Wigner transformations for tree structures
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DOI：10.1038/s41598-018-38128-8.png)
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Abstract
En 中文
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 qu bit systems.
Keywords:
NON-ABELIAN STATISTICS
2 DIMENSIONS
QUANTUM
HAMILTONIANS
FERMIONS
STATES
SPINS
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