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    Area of Science:

    • Quantum Computing
    • Quantum Chemistry
    • Photonic Quantum Technologies

    Background:

    • Variational quantum algorithms (VQAs) are promising for near-term quantum applications.
    • VQA performance is critically dependent on the chosen optimization method.
    • Existing methods like gradient descent can be slow and prone to local minima.

    Purpose of the Study:

    • To experimentally estimate the quantum natural gradient (QNG) using a photonic chip.
    • To demonstrate the outperformance of QNG optimization for VQAs in a real-world setting.
    • To validate QNG's potential for practical quantum applications in the NISQ era.

    Main Methods:

    • Utilized a fully programmable photonic chip for quantum computations.
    • Employed the quantum natural gradient (QNG) optimization technique.
    • Calculated the dissociation curve of the He-H+ cation.

    Main Results:

    • Achieved the first experimental estimation of QNG in photonics.
    • Obtained chemical accuracy for the He-H+ dissociation curve.
    • Demonstrated superior performance of QNG over other optimization methods on a photonic device.

    Conclusions:

    • QNG optimization offers faster convergence and better local minima avoidance for VQAs.
    • Photonic quantum devices are suitable for implementing advanced QNG methods.
    • This work paves the way for practical quantum applications using QNG in photonics.