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quant-ph2026
Universal Design and Physical Applications of Non-Uniform Cellular Automata on Translationally Invariant Lattices
Xiang-You Huang, Jie-Yu Zhang, Peng Ye
Motivated by recent theoretical and experimental advances, hyperbolic lattices have emerged as a paradigmatic setting in which geometry becomes an active organizing principle of qu…
quant-ph2026
Fracton Topological Holography
Yu-Tao Hu, Jie-Yu Zhang, Peng Ye
Topological holography (TH), or SymTFT, realizes symmetries and dualities of a quantum system as boundary data of a topological bulk in one higher dimension. We formulate fracton t…
quant-ph2025
Fusion rules of mobility
Jie-Yu Zhang, Peng Ye
In topological phases of matter, fusion rules dictate how anyonic topological charges combine. However, the transformation of quasiparticle mobility under fusion remains largely un…