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Efficient multimode Wigner tomography.

Kevin He1,2, Ming Yuan3, Yat Wong3

  • 1James Franck Institute, University of Chicago, Chicago, IL, 60637, USA. hek@uchicago.edu.

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Researchers developed a new quantum state reconstruction method that scales polynomially, not exponentially, with system size. This advance makes characterizing complex quantum states more efficient for larger quantum systems.

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Area of Science:

  • Quantum Information Science
  • Quantum Computing
  • Quantum Optics

Background:

  • Quantum systems can create complex states across multiple bosonic cavity modes.
  • Traditional quantum state tomography requires exponential resources, limiting scalability with system size.
  • Characterizing multi-mode quantum states is computationally and experimentally challenging.

Purpose of the Study:

  • To implement a novel state reconstruction method with polynomial scaling.
  • To overcome the limitations of exponential scaling in traditional quantum state tomography.
  • To enable efficient characterization of complex multi-mode quantum states.

Main Methods:

  • Developed and implemented a state reconstruction technique with polynomial sampling requirements.
  • Utilized Wigner tomography for state reconstruction.
  • Experimentally demonstrated the method on a 3D circuit quantum electrodynamics (cQED) system.

Main Results:

  • The new method's sampling requirement scales polynomially with the number of modes.
  • Successfully reconstructed multi-mode entangled W states up to 4 modes.
  • Achieved comparable efficiency to existing methods for 2 modes, with significant improvements for 3 and 4 modes.

Conclusions:

  • The polynomial scaling method offers a more efficient approach for characterizing complex quantum states.
  • This technique shows significant advantages for systems with a higher number of modes.
  • The findings pave the way for more scalable quantum state characterization in advanced quantum systems.