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Diagonal isometric form for tensor network states in two dimensions
10 April, 2026
Isometric tensor network states (isoTNS) generalize the isometric form of the one-dimensional matrix product states (MPS) to tensor networks in two and higher dimensions. Here, the authors introduce an alternative isometric form for isoTNS by incorporating auxiliary tensors to represent the orthogonality hypersurface. The authors demonstrate the viability of the method by performing ground-state search and real-time evolution of the transverse field Ising model on large square lattices of up to 1250 sites.
Benjamin Sappler, Masataka Kawano, Michael P. Zaletel, and Frank Pollmann
Phys. Rev. B 113, 165117 (2026)