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TITAN: A Trajectory-Informed Technique for Adaptive Parameter Freezing in Large-Scale VQE

Created by
  • Haebom

Author

Yifeng Peng, Xinyi Li, Samuel Yen-Chi Chen, Kaining Zhang, Zhiding Liang, Ying Wang, Yuxuan Du

Outline

To address the low training efficiency of the VQE algorithm, this paper proposes Titan, a deep learning-based framework. Titan identifies and fixes redundant parameters during initialization for a given Hamiltonian, thereby reducing optimization overhead while maintaining accuracy. This is based on the empirical finding that some parameters have minimal impact on training dynamics. It is designed by combining an informative and Barren Plateau-resistant training data generation strategy with an adaptive neural network architecture that generalizes to Ansatz of various sizes. Benchmarks on Ising models, Heisenberg models, and various molecular systems with up to 30 qubits demonstrate that Titan achieves up to 3x faster convergence and 40-60% fewer circuit evaluations than existing state-of-the-art baseline models, while achieving comparable or superior accuracy.

Takeaways, Limitations

Takeaways:
We significantly improve the training efficiency of the VQE algorithm, increasing its applicability to large-scale Hamiltonians.
By reducing the parameter space, we lower the hardware requirements and increase the practicality of VQE.
It presents a scalable pathway that could contribute to advances in quantum chemistry and materials science.
We demonstrate an effective combination of training data generation strategies and adaptive neural network architectures.
Limitations:
Titan's performance improvements may be limited to certain types of Hamiltonians. Further evaluation of generalization performance for a wider range of Hamiltonians is needed.
Further research is needed to determine whether the currently presented method is applicable to all Ansatz or is optimized for a specific Ansatz.
Performance evaluations are needed for larger systems beyond 30-qubit systems.
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