Matrix product states and projected entangled pair states: Concepts, symmetries, theorems

Many-body wave functions can be described effectively by local tensors in matrix product states and projected entangled pair states.

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• 1 This article reviews how these theories provide not only numerical methods but also insights of a more fundamental nature into the structures of states with global entanglement patterns and topological quantum order.

This work deepens our understanding of the fundamental laws governing the universe, from subatomic particles to cosmic structures.

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