Efficient multimode Wigner tomography

Kevin He (), Ming Yuan, Yat Wong, Srivatsan Chakram, Alireza Seif, Liang Jiang and David I. Schuster
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Kevin He: 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

Nature Communications, 2024, vol. 15, issue 1, 1-7

Abstract: 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.

Date: 2024
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DOI: 10.1038/s41467-024-48573-x

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