IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v7y2016i1d10.1038_ncomms13194.html
   My bibliography  Save this article

Simulating the exchange of Majorana zero modes with a photonic system

Author

Listed:
  • Jin-Shi Xu

    (Key Laboratory of Quantum Information, University of Science and Technology of China, CAS
    Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China)

  • Kai Sun

    (Key Laboratory of Quantum Information, University of Science and Technology of China, CAS
    Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China)

  • Yong-Jian Han

    (Key Laboratory of Quantum Information, University of Science and Technology of China, CAS
    Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China)

  • Chuan-Feng Li

    (Key Laboratory of Quantum Information, University of Science and Technology of China, CAS
    Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China)

  • Jiannis K. Pachos

    (School of Physics and Astronomy, University of Leeds)

  • Guang-Can Guo

    (Key Laboratory of Quantum Information, University of Science and Technology of China, CAS
    Synergetic Innovation Center of Quantum Information and Quantum Physics, University of Science and Technology of China)

Abstract

The realization of Majorana zero modes is in the centre of intense theoretical and experimental investigations. Unfortunately, their exchange that can reveal their exotic statistics needs manipulations that are still beyond our experimental capabilities. Here we take an alternative approach. Through the Jordan–Wigner transformation, the Kitaev's chain supporting two Majorana zero modes is mapped to the spin-1/2 chain. We experimentally simulated the spin system and its evolution with a photonic quantum simulator. This allows us to probe the geometric phase, which corresponds to the exchange of two Majorana zero modes positioned at the ends of a three-site chain. Finally, we demonstrate the immunity of quantum information encoded in the Majorana zero modes against local errors through the simulator. Our photonic simulator opens the way for the efficient realization and manipulation of Majorana zero modes in complex architectures.

Suggested Citation

  • Jin-Shi Xu & Kai Sun & Yong-Jian Han & Chuan-Feng Li & Jiannis K. Pachos & Guang-Can Guo, 2016. "Simulating the exchange of Majorana zero modes with a photonic system," Nature Communications, Nature, vol. 7(1), pages 1-8, December.
    • Handle: RePEc:nat:natcom:v:7:y:2016:i:1:d:10.1038_ncomms13194
    DOI: 10.1038/ncomms13194
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/ncomms13194
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/ncomms13194?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Midya Parto & Christian Leefmans & James Williams & Franco Nori & Alireza Marandi, 2023. "Non-Abelian effects in dissipative photonic topological lattices," Nature Communications, Nature, vol. 14(1), pages 1-8, December.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:7:y:2016:i:1:d:10.1038_ncomms13194. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.