A Tunable Multi-Qubit Coupling Element for Superconducting Circuits

ORAL

Abstract

We propose a SQUID tunable microwave coplanar waveguide (CPW) resonator to

implement programmable (up to all-to-all), tunable coupling between superconducting qubits. In

order to make qualitative and quantitative predictions about the behavior of this circuit element

as a tunable coupling element we develop a theoretical description of its dynamics. We will

outline a framework for analyzing dynamics in the presence of parametric flux modulation

through its boundary SQUIDs. This nonlinearity at the resonator boundary introduces mixing

between the central resonance of the system and the sidebands at integer multiples of the

modulation frequency. These sidebands yield an effective amplitude modulation of the resonance

mode profile from which we compute the resulting time dependent coupling of the tunable

resonator to the superconducting qubits. We present analytical and numerical results for the

coupling, demonstrating quantitative agreement. This time-dependent qubit-resonator coupling

can be used as the basis for two qubit gates and interactions in digital and analog quantum

computing protocols.

*This work was supported by the Office of Advanced Scientific Computing Research, Testbeds for Science program, Office of Science of the U.S. Department of Energy under Contract No. DE-AC02-05CH11231.

Publication: Planned paper: "A Reconfigurable Quantum Processor Architecture with Superconducting Qubits"

Presenters

  • Brian Marinelli

    • University of California, Berkeley
    • Computational Research Division, Lawrence Berkeley National Lab

Authors

  • Brian Marinelli

    • University of California, Berkeley
    • Computational Research Division, Lawrence Berkeley National Lab
  • Jie Luo

    • Computational Research Division, Lawrence Berkeley National Lab
  • David I Santiago

    • Lawrence Berkeley National Laboratory
    • Computational Research Division, Lawrence Berkeley National Lab
  • Irfan Siddiqi

    • University of California, Berkeley
    • Applied Mathematics and Computational Research and Materials Sciences Divisions, LBNL
    • Lawrence Berkeley National Laboratory
    • Applied Mathematics, Computational Research and Materials Sciences Divisions, Lawrence Berkeley National Lab