TensorKit.jl: A Julia package for large-scale tensor computations, with a hint of category theory

Title:TensorKit.jl: A Julia package for large-scale tensor computations, with a hint of category theory

Abstract:TensorKit$.$jl is a Julia-based software package for tensor computations, especially focusing on tensors with internal symmetries. This paper introduces the design philosophy, core functionalities, and distinctive features, including how to handle abelian, non-abelian, and anyonic symmetries through the ``TensorMap'' type. We highlight the software's flexibility, performance, and its capability to extend to new tensor types and symmetries, illustrating its practical applications through select case studies.

Mathematical Software (cs.MS); Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)

arXiv:2508.10076 [cs.MS]

(or arXiv:2508.10076v2 [cs.MS] for this version)

https://doi.org/10.48550/arXiv.2508.10076 Focus to learn more arXiv-issued DOI via DataCite

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