Theoretical analysis on the composite qubit approach to superconducting quantum computing

ORAL

Abstract

Encoded qubit scheme [1] for superconducting qubit architecture could be a useful alternative to the conventional approach for simpler control of qubits. The composite qubit (CQB) defined in a two-dimensional subspace of a system of two physical transmon qubits can be manipulated using only base band control of each transmon qubit frequencies, allowing for microwave-free single- and two-qubit quantum gates. We present theoretical analysis of the optimal operating point (sweet spot) and the gate operations in a real device in the presence of various sources of noise and errors. The CQB computational subspace consists of excited states of the system and relaxation to the physical ground state is one of the main sources of error. We discuss the randomized benchmarking (RB) protocol in the presence of this leakage error.

[1] Yun-Pil Shim and Charles Tahan, Nat. Commun. 7, 11059 (2016).

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Presenters

  • Yun-Pil Shim

    Laboratory for Physical Sciences

Authors

  • Yun-Pil Shim

    Laboratory for Physical Sciences

  • Daniel Campbell

    Research Laboratory of Electronics, Massachusetts Institute of Technology, Research Laboratory of Electronics, Massachusetts Institute of Technology, USA, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA 02139, Massachusetts Institute of Technology

  • Bharath Kannan

    Massachusetts Institute of Technology, Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Research Laboratory of Electronics, Dept. of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, USA, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA 02139, Research Laboratory of Electronics, Massachusetts Institute of Technology

  • Roni Winik

    Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA 02139, Research Laboratory of Electronics, Massachusetts Institute of Technology

  • David K Kim

    MIT Lincoln Lab, Lincoln Laboratory, Massachusetts Institute of Technology, MIT Lincoln Laboratory, Massachusetts Institute of Technology, Massachusetts Institute of Technology Lincoln Laboratory, Lincoln Lab, Massachusetts Institute of Technology, USA, MIT Lincoln Laboratory, Massachusetts Institute of Technology

  • Alexander Melville

    MIT Lincoln Lab, MIT Lincoln Laboratory, Massachusetts Institute of Technology, Lincoln Laboratory, Massachusetts Institute of Technology, MIT Lincoln Laboratory, 244 Wood Street, Lexington, MA 02421, MIT Lincoln Laboratory, Massachusetts Institute of Technology

  • Bethany M Niedzielski

    Michigan State University, MIT Lincoln Laboratory, Lincoln Laboratory, Massachusetts Institute of Technology, MIT Lincoln Lab, Department of Physics, Massachusetts Institute of Technology, MIT Lincoln Laboratory, Massachusetts Institute of Technology

  • Jonilyn L Yoder

    MIT Lincoln Lab, Lincoln Laboratory, Massachusetts Institute of Technology, MIT Lincoln Laboratory, Massachusetts Institute of Technology, Massachusetts Institute of Technology Lincoln Laboratory, Lincoln Lab, Massachusetts Institute of Technology, USA, MIT Lincoln Laboratory, 244 Wood Street, Lexington, MA 02421, MIT Lincoln Laboratory, Massachusetts Institute of Technology

  • Terry Philip Orlando

    Massachusetts Institute of Technology, Electrical Engineering and Computer Science, Research Laboratory of Electronics, Massachusetts Institute of Technology, Research Laboratory of Electronics, Electrical Engineering and Computer Science, Massachusetts Institute of Technology, Research Laboratory of Electronics, Massachusetts Institute of Technology, Research Laboratory of Electronics, Dept. of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, USA, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA 02139

  • Simon Gustavsson

    Research Laboratory of Electronics, Massachusetts Institute of Technology, Massachusetts Institute of Technology, Research Laboratory of Electronics, Massachusetts Institute of Technology, USA, Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA 02139, Research Laboratory of Electronics, MIT

  • William D Oliver

    Research Laboratory of Electronics, Massachusetts Institute of Technology, Department of Physics, Research Laboratory of Electronics, Lincoln Laboratory, Massachusetts Institute of Technology, MIT Lincoln Lab, MIT Lincoln Laboratory, Department of Physics, Massachusetts Institute of Technology, MIT Lincoln Laboratory, Massachusetts Institute of Technology, Research Laboratory of Electronics, Physics, Lincoln Laboratory, Massachusetts Institute of Technology, Department of Physics, Massachusetts Institute of Technology, Research Laboratory of Electronics, Massachusetts Institute of Technology, MIT Lincoln Laboratory, Physics, Massachusetts Institute of Technology, Dept. of Physics, Research Laboratory of Electronics, and Lincoln Lab, Massachusetts Institute of Technology, USA, Research Laboratory of Electronics, Department of Physics, Massachusetts Institute of Technology, Cambridge, MA 02139, MIT Lincoln Laboratory, 244 Wood Street, Lexington, MA, Massachusetts Institute of Technology and MIT Lincoln Laboratory, Research Laboratory of Electronics, MIT Lincoln Laboratory, Department of Physics, Massachusetts Institute of Technology, Department of Physics, Research Laboratory of Electronics, MIT Lincoln Laboratory, Massachusetts Institute of Technology, Department of Physics, MIT; Research Laboratory of Electronics, MIT; MIT Lincoln Laboratory

  • Charles Tahan

    Laboratory for Physical Sciences