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cond-mat.str-el2024★ 1 cited
Entanglement renormalization of fractonic anisotropic Laplacian models
Yuan Xue, Pranay Gorantla, Zhu-Xi Luo
Gapped fracton phases constitute a new class of quantum states of matter which connects to topological orders but does not fit easily into existing paradigms. They host unconventio…
cond-mat.str-el2024★ 5 cited
Duality-preserving deformation of 3+1d lattice gauge theory with exact gapped ground states
Pranay Gorantla, Tzu-Chen Huang
We propose and analyze a deformation of the 3+1d lattice gauge theory that preserves the non-invertible Wegner duality symmetry at the self-dual point. We identify a…
quant-ph2024★ 13 cited
Tensor networks for non-invertible symmetries in 3+1d and beyond
Pranay Gorantla, Shu-Heng Shao, Nathanan Tantivasadakarn
Tensor networks provide a natural language for non-invertible symmetries in general Hamiltonian lattice models. We use ZX-diagrams, which are tensor network presentations of quantu…