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Digital quantum simulation of fermionic models with a superconducting circuit

Author

Listed:
  • R. Barends

    (Google Inc.)

  • L. Lamata

    (University of the Basque Country UPV/EHU)

  • J. Kelly

    (University of California
    Present address: Google Inc., Santa Barbara, California 93117, USA.)

  • L. García-Álvarez

    (University of the Basque Country UPV/EHU)

  • A. G. Fowler

    (Google Inc.)

  • A Megrant

    (University of California
    University of California)

  • E Jeffrey

    (Google Inc.)

  • T. C. White

    (University of California)

  • D. Sank

    (Google Inc.)

  • J. Y. Mutus

    (Google Inc.)

  • B. Campbell

    (University of California)

  • Yu Chen

    (Google Inc.)

  • Z. Chen

    (University of California)

  • B. Chiaro

    (University of California)

  • A. Dunsworth

    (University of California)

  • I.-C. Hoi

    (University of California)

  • C. Neill

    (University of California)

  • P. J. J. O’Malley

    (University of California)

  • C. Quintana

    (University of California)

  • P. Roushan

    (Google Inc.)

  • A. Vainsencher

    (University of California)

  • J. Wenner

    (University of California)

  • E. Solano

    (University of the Basque Country UPV/EHU
    IKERBASQUE, Basque Foundation for Science)

  • John M. Martinis

    (Google Inc.
    University of California)

Abstract

One of the key applications of quantum information is simulating nature. Fermions are ubiquitous in nature, appearing in condensed matter systems, chemistry and high energy physics. However, universally simulating their interactions is arguably one of the largest challenges, because of the difficulties arising from anticommutativity. Here we use digital methods to construct the required arbitrary interactions, and perform quantum simulation of up to four fermionic modes with a superconducting quantum circuit. We employ in excess of 300 quantum logic gates, and reach fidelities that are consistent with a simple model of uncorrelated errors. The presented approach is in principle scalable to a larger number of modes, and arbitrary spatial dimensions.

Suggested Citation

  • R. Barends & L. Lamata & J. Kelly & L. García-Álvarez & A. G. Fowler & A Megrant & E Jeffrey & T. C. White & D. Sank & J. Y. Mutus & B. Campbell & Yu Chen & Z. Chen & B. Chiaro & A. Dunsworth & I.-C. , 2015. "Digital quantum simulation of fermionic models with a superconducting circuit," Nature Communications, Nature, vol. 6(1), pages 1-7, November.
    • Handle: RePEc:nat:natcom:v:6:y:2015:i:1:d:10.1038_ncomms8654
    DOI: 10.1038/ncomms8654
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