Perturbative density matrix propagation in Gate Set Tomography

ORAL

Abstract

Model-based quantum tomography protocols like Gate Set Tomography optimize a noise model with some number of parameters in order to fit experimental data. As the number of qubits increases, two issues emerge: 1) the number of model parameters grows, and 2) the cost of propagating quantum states (density matrices) increases exponentially. The first issue can be addressed by considering reduced models that limit errors to being low-weight and geometrically local. In this talk, we focus on the second issue and present a method for performing approximate density matrix propagation based on perturbative expansions of error generators. The method is tailored to the likelihood optimization problem faced by model-based tomography protocols. We will discuss the advantages and drawbacks of using this method when characterizing the errors in up to 8-qubit systems.

*Sandia National Labs is managed and operated by National Technology and Engineering Solutions of Sandia, LLC, a subsidiary of Honeywell International, Inc., for the U.S. Dept. of Energy’s National Nuclear Security Administration under contract DE-NA0003525. This research was funded in part by IARPA. The views expressed in the article do not necessarily represent the views of the DOE, IARPA, the ODNI, or the U.S. Government.

Presenters

  • Erik Nielsen

    • Sandia National Laboratories

Authors

  • Erik Nielsen

    • Sandia National Laboratories
  • Robin Blume-Kohout

    • Center for Computing Research, Sandia National Laboratories
    • Sandia National Laboratories
  • Timothy Proctor

    • Sandia National Laboratories
  • Kenneth Rudinger

    • Center for Computing Research, Sandia National Laboratories
    • Sandia National Laboratories
    • Sandia Natl Labs
  • Mohan Sarovar

    • Sandia National Laboratories
    • Sandia National Laboratories California
  • Kevin Young

    • Sandia National Laboratories