Quantum Control of Cavity Resonators, Part I: Control Algorithms

ORAL

Abstract

Harmonic oscillators are linear systems with equally spaced energy levels, which makes them hard to control. We have previously explored a constructive control approach mediated by a far off-resonantly coupled two-level ancilla. Here we present an extension to that method which relies on optimal control algorithms to allow much more efficient quantum control of a combined resonator – ancilla system. We show that full control of the resonator is possible on a time-scale of order 1/chi, the dispersive shift. In practice this means that a unitary operation on the Hilbert space of our superconducting resonator truncated to 8 levels can be performed using a pulse of around a microsecond.

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Authors

  • P. Reinhold

    • Yale University
    • Yale University, Department of Applied Physics
    • Yale University Department of Applied Physics

  • R. Heeres

    • Yale University
    • Yale University, Department of Applied Physics
    • Yale University Department of Applied Physics

  • N. Ofek

    • Yale University
    • Yale University, Department of Applied Physics
    • Yale University Department of Applied Physics

  • K. Sliwa

    • Department of Applied Physics, Yale University
    • Yale University

  • M. Hatridge

    • University of Pittsburgh

  • Stefan Krastanov

    • Yale University

  • Liang Jiang

    • Yale University
    • Departments of Physics and Applied Physics, Yale University
    • Yale University, Department of Applied Physics
    • Yale University Department of Applied Physics
    • Yale Univ

  • L. Frunzio

    • Yale University
    • Department of Applied Physics, Yale University
    • Department of Applied Physics and Physics, Yale University
    • Yale University, Department of Applied Physics
    • Yale University Department of Applied Physics

  • M. H. Devoret

    • Yale University
    • Department of Applied Physics, Yale University
    • Yale Univesity
    • Department of Applied Physics and Physics, Yale University
    • Yale University, Department of Applied Physics
    • Yale University Department of Applied Physics

  • R. J. Schoekopf

    • Yale University
    • Department of Applied Physics, Yale University
    • Department of Applied Physics and Physics, Yale University
    • Department of Physics and Applied Physics, Yale University, New Haven, Connecticut
    • Departments of Applied Physics and Physics, Yale University, New Haven, Connecticut, USA.
    • Yale University, Department of Applied Physics
    • Yale University Department of Applied Physics