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Efficient multimode Wigner tomography

Author

Listed:
  • Kevin He

    (University of Chicago
    University of Chicago)

  • Ming Yuan

    (University of Chicago)

  • Yat Wong

    (University of Chicago)

  • Srivatsan Chakram

    (Rutgers University)

  • Alireza Seif

    (University of Chicago)

  • Liang Jiang

    (University of Chicago)

  • David I. Schuster

    (University of Chicago
    University of Chicago
    University of Chicago)

Abstract

Advancements in quantum system lifetimes and control have enabled the creation of increasingly complex quantum states, such as those on multiple bosonic cavity modes. When characterizing these states, traditional tomography scales exponentially with the number of modes in both computational and experimental measurement requirement, which becomes prohibitive as the system size increases. Here, we implement a state reconstruction method whose sampling requirement instead scales polynomially with system size, and thus mode number, for states that can be represented within such a polynomial subspace. We demonstrate this improved scaling with Wigner tomography of multimode entangled W states of up to 4 modes on a 3D circuit quantum electrodynamics (cQED) system. This approach performs similarly in efficiency to existing matrix inversion methods for 2 modes, and demonstrates a noticeable improvement for 3 and 4 modes, with even greater theoretical gains at higher mode numbers.

Suggested Citation

  • Kevin He & Ming Yuan & Yat Wong & Srivatsan Chakram & Alireza Seif & Liang Jiang & David I. Schuster, 2024. "Efficient multimode Wigner tomography," Nature Communications, Nature, vol. 15(1), pages 1-7, December.
  • Handle: RePEc:nat:natcom:v:15:y:2024:i:1:d:10.1038_s41467-024-48573-x
    DOI: 10.1038/s41467-024-48573-x
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    References listed on IDEAS

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    1. D. Zhu & Z. P. Cian & C. Noel & A. Risinger & D. Biswas & L. Egan & Y. Zhu & A. M. Green & C. Huerta Alderete & N. H. Nguyen & Q. Wang & A. Maksymov & Y. Nam & M. Cetina & N. M. Linke & M. Hafezi & C., 2022. "Cross-platform comparison of arbitrary quantum states," Nature Communications, Nature, vol. 13(1), pages 1-6, December.
    2. Sirui Cao & Bujiao Wu & Fusheng Chen & Ming Gong & Yulin Wu & Yangsen Ye & Chen Zha & Haoran Qian & Chong Ying & Shaojun Guo & Qingling Zhu & He-Liang Huang & Youwei Zhao & Shaowei Li & Shiyu Wang & J, 2023. "Generation of genuine entanglement up to 51 superconducting qubits," Nature, Nature, vol. 619(7971), pages 738-742, July.
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