Jordan-Wigner transformations for tree structures

被引：11

作者：

Backens, Stefan ^{[1
]}

Shnirman, Alexander ^{[1
,2
]}

Makhlin, Yuriy ^{[3
,4
]}

机构：

[1] Karlsruhe Inst Technol, Inst Theorie Kondensierten Materie, D-76131 Karlsruhe, Germany

[2] Karlsruhe Inst Technol, Inst Nanotechnol, D-76344 Eggenstein Leopoldshafen, Germany

[3] Natl Res Univ Higher Sch Econ, Condensed Matter Phys Lab, Moscow 101000, Russia

[4] Landau Inst Theoret Phys, Acad Semyonov Av 1a, Chernogolovka 142432, Russia

来源：

SCIENTIFIC REPORTS | 2019年 / 9卷 / 1期

基金：

俄罗斯科学基金会;

关键词：

NON-ABELIAN STATISTICS; 2; DIMENSIONS; QUANTUM; HAMILTONIANS; FERMIONS; STATES; SPINS;

D O I：

10.1038/s41598-018-38128-8

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：8

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