Minimal setup for non-Abelian braiding of Majorana zero modes

被引:14
作者
Liu, Jie [1 ]
Chen, Wenqin [1 ]
Gong, Ming [2 ]
Wu, Yijia [2 ]
Xie, XinCheng [2 ,3 ,4 ]
机构
[1] Xi An Jiao Tong Univ, Sch Phys, Minist Educ, Key Lab Nonequilibrium Synth & Modulat Condensed, Xian 710049, Peoples R China
[2] Peking Univ, Int Ctr Quantum Mat, Sch Phys, Beijing 100871, Peoples R China
[3] Beijing Acad Quantum Informat Sci, Beijing 100193, Peoples R China
[4] Univ Chinese Acad Sci, CAS Ctr Excellence Topol Quantum Computat, Beijing 100190, Peoples R China
基金
中国国家自然科学基金;
关键词
non-Abelian statistics; geometric phase; Majorana zero modes; 74; 45; +c; 20; Mn; 78; -w; TOPOLOGICAL SUPERCONDUCTIVITY; STATISTICS; FERMIONS;
D O I
10.1007/s11433-021-1773-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Braiding Majorana zero modes (MZMs) is the key procedure toward topological quantum computation. However, the complexity of the braiding manipulation hinders its experimental realization. Here we propose an experimental setup consisting of MZMs and a quantum dot state which can substantially simplify the braiding protocol of MZMs. Such braiding scheme, corresponding to a specific closed loop in the parameter space, is quite universal and can be realized in various platforms. Moreover, the braiding results can be measured and manifested through electric current, providing a simple and novel way to detect the non-Abelian statistics of MZMs.
引用
收藏
页数:6
相关论文
共 58 条
  • [1] Milestones Toward Majorana-Based Quantum Computing
    Aasen, David
    Hell, Michael
    Mishmash, Ryan V.
    Higginbotham, Andrew
    Danon, Jeroen
    Leijnse, Martin
    Jespersen, Thomas S.
    Folk, Joshua A.
    Marcus, Charles M.
    Flensberg, Karsten
    Alicea, Jason
    [J]. PHYSICAL REVIEW X, 2016, 6 (03):
  • [2] Exponential protection of zero modes in Majorana islands
    Albrecht, S. M.
    Higginbotham, A. P.
    Madsen, M.
    Kuemmeth, F.
    Jespersen, T. S.
    Nygard, J.
    Krogstrup, P.
    Marcus, C. M.
    [J]. NATURE, 2016, 531 (7593) : 206 - +
  • [3] Alicea J, 2011, NAT PHYS, V7, P412, DOI [10.1038/nphys1915, 10.1038/NPHYS1915]
  • [4] Majorana fermions in a tunable semiconductor device
    Alicea, Jason
    [J]. PHYSICAL REVIEW B, 2010, 81 (12):
  • [5] Majorana braiding dynamics in nanowires
    Amorim, Cassio Sozinho
    Ebihara, Kazuto
    Yamakage, Ai
    Tanaka, Yukio
    Sato, Masatoshi
    [J]. PHYSICAL REVIEW B, 2015, 91 (17)
  • [6] Non-hermitian topology as a unifying framework for the Andreev versus Majorana states controversy
    Avila, J.
    Penaranda, F.
    Prada, E.
    San-Jose, P.
    Aguado, R.
    [J]. COMMUNICATIONS PHYSICS, 2019, 2 (1)
  • [7] Chen W., ARXIV200500735
  • [8] Das A, 2012, NAT PHYS, V8, P887, DOI [10.1038/NPHYS2479, 10.1038/nphys2479]
  • [9] Anomalous Zero-Bias Conductance Peak in a Nb-InSb Nanowire-Nb Hybrid Device
    Deng, M. T.
    Yu, C. L.
    Huang, G. Y.
    Larsson, M.
    Caroff, P.
    Xu, H. Q.
    [J]. NANO LETTERS, 2012, 12 (12) : 6414 - 6419
  • [10] Feldman BE, 2017, NAT PHYS, V13, P286, DOI [10.1038/nphys3947, 10.1038/NPHYS3947]