Experimental realization of a nonlinear 3-wave mixing gate for quantum simulation

ORAL

Abstract

The ability to simulate an arbitrary Hamiltonian on a quantum device is an important step towards achieving universal quantum computing. We present a simulation of nonlinear 3-wave processes on a single qudit of the LLNL Quantum Design and Integration Testbed (QuDIT) resulting from iterative application of a gate developed to emulate these interactions. We describe our experimental protocol for realizing this simulation on the first three levels of a qudit and present results of average state population as a function of time. This experiment consists of a transmon-style qudit that is capacitively coupled to a superconducting 3D microwave cavity field. The qudit is addressed by a single-input RF signal that has been numerically optimized to perform 3-wave mixing unitary gate operations with fidelity of over 99%. We find that the average population of the qudit states evolve in a manner that matches the theoretically predicted quantum numbers of each wave in the 3-wave mixing process over many gate iterations.

*This work was performed under the auspices of the U.S. Department of Energy by Lawrence Livermore National Laboratory under Contract DE-AC52-07NA27344 and was supported in part by the Laboratory Directed Research and Development grant 19-FS-072.

Presenters

  • Alessandro Castelli

    • Lawrence Livermore Natl Lab

Authors

  • Alessandro Castelli

    • Lawrence Livermore Natl Lab
  • Yuan Shi

    • Lawrence Livermore Natl Lab
    • Lawrence Livermore National Laboratory
  • Ilon Joseph

    • Lawrence Livermore Natl Lab
    • Lawrence Livermore National Laboratory
  • Vasily Geyko

    • Lawrence Livermore Natl Lab
  • Frank R Graziani

    • Lawrence Livermore Natl Lab
    • Lawrence Livermore National Laboratory
  • Stephen Bernard Libby

    • Lawrence Livermore Natl Lab
    • Lawrence Livermore National Laboratory
  • Jeffrey Parker

    • Lawrence Livermore Natl Lab
  • Yaniv J. Rosen

    • Lawrence Livermore National Laboratory
    • Lawrence Livermore Natl Lab
  • Jonathan L. DuBois

    • Lawrence Livermore National Laboratory
    • Lawrence Livermore Natl Lab