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Tomography refers to imaging by sections. Computed tomography (CT) is a non-invasive imaging technique that uses computers to analyze several cross-sectional X-rays to reveal minute details about structures in the body.
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The frequency-domain technique, commonly used in analyzing and designing feedback control systems, is effective for linear, time-invariant systems. However, it falls short when dealing with nonlinear, time-varying, and multiple-input multiple-output systems. The time-domain or state-space approach addresses these limitations by utilizing state variables to construct simultaneous, first-order differential equations, known as state equations, for an nth-order system.
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Updated: Oct 16, 2025

Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators
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Quantum State Engineering of Light with Continuous-wave Optical Parametric Oscillators

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Quantum State Tomography with Conditional Generative Adversarial Networks.

Shahnawaz Ahmed1, Carlos Sánchez Muñoz2, Franco Nori3,4

  • 1Department of Microtechnology and Nanoscience, Chalmers University of Technology, 412 96 Gothenburg, Sweden.

Physical Review Letters
|October 15, 2021
PubMed
Summary
This summary is machine-generated.

We developed a Quantum State Tomography Conditional Generative Adversarial Network (QST-CGAN) that reconstructs quantum states with high fidelity. This method requires significantly less data and fewer steps than traditional techniques.

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Last Updated: Oct 16, 2025

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Area of Science:

  • Quantum Information Science
  • Machine Learning for Quantum Physics

Background:

  • Quantum state tomography (QST) is essential for characterizing quantum devices but is computationally intensive.
  • Existing QST methods struggle with the complexity of intermediate-scale quantum devices.

Purpose of the Study:

  • To introduce a novel application of Conditional Generative Adversarial Networks (CGANs) for efficient Quantum State Tomography.
  • To improve the fidelity and reduce the data and computational requirements of QST.

Main Methods:

  • Augmented a CGAN with custom neural network layers to ensure physical density matrix output.
  • Trained generator and discriminator networks iteratively using gradient-based methods.
  • Demonstrated reconstruction of optical quantum states.

Main Results:

  • QST-CGAN achieved high-fidelity reconstruction of optical quantum states.
  • The method used orders of magnitude less data and iterative steps compared to projected-gradient and maximum-likelihood methods.
  • Pretrained QST-CGAN can reconstruct quantum states in a single generator evaluation.

Conclusions:

  • CGANs offer a powerful and efficient alternative for Quantum State Tomography.
  • This approach significantly advances the characterization capabilities for intermediate-scale quantum systems.