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Tensor Network Algorithms: a Route Map

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arxiv 2205.10345 v2 pith:X474YDZ5 submitted 2022-05-20 quant-ph

Tensor Network Algorithms: a Route Map

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keywords tensorideaslastnetworknetworkssomealgorithmicalgorithms
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Tensor networks provide extremely powerful tools for the study of complex classical and quantum many-body problems. Over the last two decades, the increment in the number of techniques and applications has been relentless, and especially the last ten years have seen an explosion of new ideas and results that may be overwhelming for the newcomer. This short review introduces the basic ideas, the best established methods and some of the most significant algorithmic developments that are expanding the boundaries of the tensor network potential. The goal is to help the reader not only appreciate the many possibilities offered by tensor networks, but also find their way through state-of-the-art codes, their applicability and some avenues of ongoing progress.

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Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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  3. Quantum Complexity and New Directions in Nuclear Physics and High-Energy Physics Phenomenology

    quant-ph 2026-04 unverdicted novelty 2.0

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  4. Les Houches Lecture Notes on Tensor Networks

    cond-mat.str-el 2025-12 unverdicted novelty 2.0

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