Suggestion that topological order goes along with long-range entanglement:
Claim that group cohomology classifies some symmetry protected topological phases:
Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, Xiao-Gang Wen, Symmetry protected topological orders and the group cohomology of their symmetry group, Phys. Rev. B 87 (2013) 155114 arXiv:1106.4772
Xie Chen, Zheng-Cheng Gu, Zheng-Xin Liu, Xiao-Gang Wen, Symmetry protected topological orders and the group cohomology of their symmetry group, Science 338 (2012) 1604-1606 (arXiv:10.1103/PhysRevB.87.155114)
On quantum information theory (entanglement entropy) applied to topological phases of matter/topological order:
Bei Zeng, Xie Chen, Duan-Lu Zhou, Xiao-Gang Wen:
Quantum Information Meets Quantum Matter – From Quantum Entanglement to Topological Phases of Many-Body Systems, Quantum Science and Technology (QST), Springer (2019) arXiv:1508.02595, doi:10.1007/978-1-4939-9084-9
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