Projector, Neural, and Tensor-Network Representations of ${\mathbb{Z}}_N$ Cluster and Dipolar-cluster SPT States

Seungho Lee, Daesik Kim, Hyun-Yong Lee +1

The ${\mathbb{Z}}_N$ cluster-state wavefunction, a paradigmatic example of symmetry-protected topological (SPT) order with ${\mathbb{Z}}_N\times {\mathbb{Z}}_N$ symmetry, is expressed i…