Approximately-symmetric neural networks for quantum spin liquids

Understand

We propose and analyze a family of approximately-symmetric neural networks for quantum spin liquid problems.

• These tailored architectures are parameter-efficient, scalable, and significantly outperform existing symmetry-unaware neural network architectures.
• Utilizing the mixed-field toric code and PXP Rydberg Hamiltonian models, we demonstrate that our approach is competitive with the state-of-the-art tensor network and quantum Monte Carlo methods.
• Moreover, at the largest system sizes (N = 480 for toric code, N=1584 for Rydberg PXP), our method allows us to explore Hamiltonians with sign problems beyond the reach of both quantum Monte Carlo and finite-size matrix-product states.