Tropical Tensor Networks
Explore a unified exact tensor network approach for solving spin glass problems in this 25-minute conference talk by Lei Wang from the Chinese Academy of Sciences. Delve into the innovative use of Tropical Algebra in tensor networks to compute ground state energy, identify optimal configurations, and count solution numbers for spin glasses. Learn how this method combines concepts from graphical models, tensor networks, differentiable programming, and quantum circuit simulation, while leveraging GPU computational power. Discover applications in frustrated Ising models, combinatorial optimization, and square lattice spin glasses. Gain insights into the physical understanding of tropical algebra, gradient-based optimization, and the mixing of tropical and ordinary algebra for degeneracy counting.