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

arXiv
Authors: Lukas Devos, Jutho Haegeman

Year

2026

Paper ID

68642

Status

Preprint

Abstract Read

~2 min

Abstract Words

66

Citations

N/A

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.

Why This Paper Matters

  • This paper contributes to the Quantum Machine Learning research area in the Quantum Articles archive.
  • It adds a 2026 reference point for readers tracking recent quantum research.
  • TensorKit.jl is a Julia-based software package for tensor computations, especially focusing on tensors with internal symmetries.

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