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.

–

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