METHODS AND SYSTEMS FOR TENSOR NETWORK CONTRACTION BASED ON LOCAL OPTIMIZATION OF CONTRACTION TREE

摘要

Methods and systems for tensor network contraction are provided. A method implemented by a computing host comprises obtaining a contraction tree associated with a tensor network, wherein a plurality of vertices and edges of the contraction tree correspond to a set of tensor nodes and indices of the tensor network, respectively; iteratively performing operations until a termination condition is satisfied, the operations including selecting a sub-graph of the contraction tree; replacing the sub-graph with a local optimal sub-graph; and obtaining an optimized contraction tree including the local optimal sub-graph; and outputting the optimized contraction tree.