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Open Quantum Systems Decoherence Quantum Simulation

Jordan-Wigner transformations for tree structures

arXiv

Authors: Stefan Backens, Alexander Shnirman, Yuriy Makhlin

Year

2018

Paper ID

24214

Status

Preprint

Abstract Read

~2 min

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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.

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This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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The celebrated Jordan--Wigner transformation provides an efficient mapping between spin chains and fermionic systems in one dimension.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1810.02590 [2] arXiv https://arxiv.org/abs/1810.02590 [3] Publisher https://arxiv.org/abs/1810.02590

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