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The ITensor Software Library for Tensor Network Calculations
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ITensor is a system for programming tensor network calculations with an interface modeled on tensor diagram notation, which allows users to focus on the connectivity of a tensor network without manually bookkeeping tensor indices. The ITensor interface rules out common programming errors and enables rapid prototyping of tensor network algorithms. After discussing the philosophy behind the ITensor approach, we show examples of each part of the interface including Index objects, the ITensor product operator, tensor factorizations, tensor storage types, algorithms for matrix product state (MPS) and matrix product operator (MPO) tensor networks, quantum number conserving block-sparse tensors, and the NDTensors library. We also review publications that have used ITensor for quantum many-body physics and for other areas where tensor networks are increasingly applied. To conclude we discuss promising features and optimizations to be added in the future.
Forward citations
Cited by 7 Pith papers
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Multi-entropy and the Dihedral Measures at Quantum Critical Points
The multi-entropy excess κ_2^(3) vanishes for the massless free scalar CFT, an exception to the general c/4 log 2 result, while the Ising model matches it, and new n=3 and n=4 values are proposed for the scalar theory.
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Efficient computation of real-time correlators using Pauli Propagation
Short-time truncated Pauli propagation combined with low-rank positive semi-definite time extension recovers dynamical structure factors for 1D/2D Heisenberg models beyond the direct Pauli window.
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Scaling and Luescher Term in a non-Abelian (2+1)d SU$(2)$ Quantum Link Model
In an SU(2) quantum link model on a hexagonal lattice, the static quark potential shows a coupling-dependent Lüscher term and logarithmically growing string width, indicating a rough confining string with no continuum limit.
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Pauli propagation enables fast classical simulation of strongly correlated quantum systems
A classical algorithm combining sparse Pauli dynamics with a variational double bracket flow estimates ground-state energies of Heisenberg and Hubbard models with sub-1% error vs DMRG, with large speedups on some 2D systems.
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Single-site diagonal quantities capture off-diagonal long-range order
Single-site diagonal quantities exhibit extrema at the superconducting transition in the 1D extended Hubbard model, contradicting the belief that local probes cannot see off-diagonal long-range order.
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SU(4) Heisenberg model on the hyperhoneycomb lattice
Numerical iPEPS with loop expansions indicates the SU(4) Heisenberg model on the hyperhoneycomb lattice has a gapless quantum spin-liquid ground state, consistent with prior variational Monte Carlo results.
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Controlling quantum phases with electric fields in one-dimensional Hubbard systems
DMRG on the half-filled 1D Hubbard chain with a step potential finds Mott, metallic, and band-insulator phases, with the metallic window narrowing as spin polarization increases.
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