2010/10/31 by B. Bauer, Bela Bauer, Philippe Corboz +5
Computer Science · Physics and Astronomy · #Physics of Superconductivity and Magnetism #Quantum Computing Algorithms and Architecture #Quantum many-body systems #cond-mat.str-el
paper · pdf · doi:10.1103/physrevb.83.125106
published as Phys. Rev. B 83, 125106 (2011) · Published version. 9 pages, 6 figures, 1 table
openalex publication_date 2011/03/18 · arxiv created 2011/03/27 · arxiv updated 2011/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Due to the unfavorable scaling of tensor-network methods with the refinement parameter M, new approaches are necessary to improve the efficiency of numerical simulations based on such states, in particular for gapless, strongly entangled systems. In one-dimensional density matrix renormalization group methods, the use of Abelian symmetries has led to large computational gain. In higher-dimensional tensor networks, this is associated with significant technical efforts and additional approximations. We explain a formalism to implement such symmetries in two-dimensional tensor-network states and present benchmark results that confirm the validity of these approximations in the context of projected entangled-pair state algorithms.