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Quantum generative adversarial networks based on Rényi divergences

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  • Liu, Ling
  • Song, Tingting
  • Sun, Zhiwei
  • Lei, Jiancheng

Abstract

Due to the development of quantum algorithms, kinds of quantum generative adversarial networks (QGANs) are proposed to generate suitable samples for different application scenarios. However, the training of QGANs is often not smooth as expected, and the results are unsatisfactory since of the barren plateau. To solve the problems, we propose a QGANs framework based on Rényi divergence (RyQGAN), which avoids the barren plateau phenomenon in the training of QGANs. The quantum circuits to estimate the gradients for the updating parameters are designed, which shows how the gradients can be evaluated by a quantum processor. Finally, based on RyQGAN, we generate 2-qubit, 3-qubit, and 4-qubit Gibbs states. The simulation results show that the barren plateau is eliminated in the RyQGAN, and the average fidelity of RyQGAN with 50 epochs is higher than 99.8%, while that of quantum Wasserstein GANs is no more than 50%. Thus, the RyQGAN can be trained effectively and has further applications in quantum machine learning.

Suggested Citation

  • Liu, Ling & Song, Tingting & Sun, Zhiwei & Lei, Jiancheng, 2022. "Quantum generative adversarial networks based on Rényi divergences," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    • Handle: RePEc:eee:phsmap:v:607:y:2022:i:c:s0378437122007270
    DOI: 10.1016/j.physa.2022.128169
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    References listed on IDEAS

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    1. Jacob Biamonte & Peter Wittek & Nicola Pancotti & Patrick Rebentrost & Nathan Wiebe & Seth Lloyd, 2017. "Quantum machine learning," Nature, Nature, vol. 549(7671), pages 195-202, September.
    2. Jarrod R. McClean & Sergio Boixo & Vadim N. Smelyanskiy & Ryan Babbush & Hartmut Neven, 2018. "Barren plateaus in quantum neural network training landscapes," Nature Communications, Nature, vol. 9(1), pages 1-6, December.
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    Cited by:

    1. Alexandru-Gabriel Tudorache, 2023. "Graph Generation for Quantum States Using Qiskit and Its Application for Quantum Neural Networks," Mathematics, MDPI, vol. 11(6), pages 1-15, March.

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