Density Matrix Exponentiation on a Superconducting Quantum Processor (Part 1): Introduction and construction

ORAL

Abstract

In conventional quantum processors, the parameters of the unitary operators to be implemented as part of a quantum circuit are controlled using classical hardware. Here we experimentally demonstrate a two-qubit implementation of the Density Matrix Exponentiation (DME) algorithm, in which the unitary operators of a quantum circuit are programmed by other quantum states. By using multiple copies of a quantum state, the DME algorithm efficiently implements a unitary operator with that state acting as a Hamiltonian. In Part 1 of this talk, we will introduce the DME algorithm, its uses, and our experimental implementation on a small quantum processor using a 99.7% fidelity CPHASE gate between two superconducting transmons.

*This research was funded in part by the ARO grant No. W911NF-18-1-0411; and was funded in part by the Assistant Secretary of Defense for Research & Engineering via MIT Lincoln Laboratory under Air Force Contract No. FA8721-05-C-0002. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the U.S. Government.

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Presenters

  • Morten Kjaergaard

    • Research Laboratory of Electronics, Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology MIT
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Massachusetts Institute of Technology

Authors

  • Morten Kjaergaard

    • Research Laboratory of Electronics, Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology MIT
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Massachusetts Institute of Technology

  • Mollie Schwartz

    • MIT Lincoln Laboratory
    • MIT Lincoln Lab

  • Amy Greene

    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology

  • Gabriel Orr Samach

    • MIT Research Laboratory of Electronics, MIT Department of Electrical Engineering and Computer Science, MIT Lincoln Laboratory, Massachusetts Institute of Technology
    • MIT Lincoln Laboratory, Massachusetts Institute of Technology
    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • MIT Lincoln Laboratory

  • Andreas Bengtsson

    • Research Laboratory of Electronics, Massachusetts Institute of Technology MIT
    • Chalmers University of Technology
    • Chalmers Univ of Tech
    • Chalmers Institute of Technology
    • Microtechnology and Nanoscience, Chalmers University of Technology

  • Michael O'Keeffe

    • MIT Lincoln Laboratory

  • Chris McNally

    • Massachusetts Institute of Technology
    • Massachusetts Institute of Technology MIT
    • Research Laboratory of Electronics, Massachusetts Institute of Technology

  • Youngkyu Sung

    • Research Laboratory of Electronics, Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology MIT
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Massachusetts Institute of Technology

  • Milad Marvian

    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology

  • Philip Krantz

    • Research Laboratory of Electronics, Massachusetts Institute of Technology MIT
    • Chalmers University of Technology
    • Chalmers Institute of Technology
    • Chalmers Univ of Tech

  • Jochen Braumueller

    • Massachusetts Institute of Technology MIT
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Massachusetts Institute of Technology

  • Roni Winik

    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology

  • David K Kim

    • MIT Lincoln Laboratory
    • MIT Lincoln Lab
    • MIT-Lincoln Lab
    • MIT Lincoln Laboratories
    • Lincoln Laboratory, Massachusetts Institute of Technology (MIT)
    • Massachusetts Institute of Technology (MIT) Lincoln Laboratory

  • Alexander Melville

    • MIT Lincoln Laboratory
    • MIT Lincoln Lab
    • MIT Lincoln Laboratories
    • Massachusetts Institute of Technology (MIT) Lincoln Laboratory

  • Bethany Niedzielski

    • MIT Lincoln Laboratory

  • Jonilyn Yoder

    • MIT Lincoln Laboratory
    • MIT-Lincoln Lab
    • Lincoln Laboratory, Massachusetts Institute of Technology (MIT)
    • MIT Lincoln Lab

  • Danna Rosenberg

    • MIT Lincoln Laboratory
    • MIT Lincoln Lab
    • MIT Lincoln Laboratories
    • Massachusetts Institute of Technology

  • Kevin Obenland

    • MIT Lincoln Laboratory

  • Terry Philip Orlando

    • Electrical Engineering and Computer Science, Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology MIT
    • Electrical Engineering and Computer Science, Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Massachusetts Institute of Technology
    • MIT Lincoln Laboratory
    • Department of Electrical Engineering and Computer Science, Massachusetts Institute of Technology (MIT)

  • Iman Marvian

    • Duke
    • Duke University

  • Simon Gustavsson

    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology (MIT)

  • Seth Lloyd

    • Massachusetts Institute of Technology
    • Massachusetts Institute of Technology MIT
    • MIT
    • Mechanical Engineering, Massachusetts Institute of Technology

  • William Oliver

    • Research Laboratory of Electronics, Department of Electrical Engineering and Computer Science, Department of Physics, MIT Lincoln Laboratory, Massachusetts Institute of Techn
    • MIT Lincoln Lab
    • MIT Lincoln Laboratory
    • MIT Lincoln Laboratory, Massachusetts Institute of Technology
    • Department of Physics, Department of Electrical Engineering and Computer Science, Research Laboratory of Electronics, Lincoln Laboratory, Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology MIT
    • Massachusetts Institute of Technology MIT
    • Department of Electrical Engineering and Computer Science, Department of Physics, Massachusetts Institute of Technology; MIT Lincoln Laboratory
    • Department of Electrical Engineering and Computer Science, Department of Physics, MIT Lincoln Laboratory, Massachusetts Institute of Technology
    • Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Massachusetts Institute of Technology
    • Research Laboratory of Electronics, Department of Electrical Engineering & Computer Science, Department of Physics, Massachusetts Institute of Technology and MIT Lincoln Labo
    • Physics, MIT
    • MIT-Lincoln Lab
    • MIT Lincoln Laboratories
    • Research Laboratory of Electronics, Department of Physics, Department of Electrical Engineering and Computer Science, Lincoln Laboratory, Massachusetts Institute of Technolog