IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v11y2020i1d10.1038_s41467-020-17519-4.html
   My bibliography  Save this article

Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer

Author

Listed:
  • C. Huerta Alderete

    (Department of Physics, University of Maryland
    Óptica y Electrónica)

  • Shivani Singh

    (C. I. T. Campus
    Training School Complex)

  • Nhung H. Nguyen

    (Department of Physics, University of Maryland)

  • Daiwei Zhu

    (Department of Physics, University of Maryland)

  • Radhakrishnan Balu

    (Computational and Information Sciences Directorate
    University of Maryland)

  • Christopher Monroe

    (Department of Physics, University of Maryland)

  • C. M. Chandrashekar

    (C. I. T. Campus
    Training School Complex)

  • Norbert M. Linke

    (Department of Physics, University of Maryland)

Abstract

The quantum walk formalism is a widely used and highly successful framework for modeling quantum systems, such as simulations of the Dirac equation, different dynamics in both the low and high energy regime, and for developing a wide range of quantum algorithms. Here we present the circuit-based implementation of a discrete-time quantum walk in position space on a five-qubit trapped-ion quantum processor. We encode the space of walker positions in particular multi-qubit states and program the system to operate with different quantum walk parameters, experimentally realizing a Dirac cellular automaton with tunable mass parameter. The quantum walk circuits and position state mapping scale favorably to a larger model and physical systems, allowing the implementation of any algorithm based on discrete-time quantum walks algorithm and the dynamics associated with the discretized version of the Dirac equation.

Suggested Citation

  • C. Huerta Alderete & Shivani Singh & Nhung H. Nguyen & Daiwei Zhu & Radhakrishnan Balu & Christopher Monroe & C. M. Chandrashekar & Norbert M. Linke, 2020. "Quantum walks and Dirac cellular automata on a programmable trapped-ion quantum computer," Nature Communications, Nature, vol. 11(1), pages 1-7, December.
    • Handle: RePEc:nat:natcom:v:11:y:2020:i:1:d:10.1038_s41467-020-17519-4
    DOI: 10.1038/s41467-020-17519-4
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/s41467-020-17519-4
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/s41467-020-17519-4?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
    ---><---

    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:11:y:2020:i:1:d:10.1038_s41467-020-17519-4. 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.