Julia libraries

For the full cross-language overview, see the software map. This page focuses on Julia packages.

Overview of libraries

The tensor4all group hosts several Julia libraries for tensor cross interpolation and quantics tensor trains.

Current recommended packages:

• TensorCrossInterpolation.jl provides implementations of TCI.
• QuanticsGrids.jl provides utilities for handling quantics representations, e.g., creating a quantics grid and transformation between the original coordinate system and the quantics representation.
• QuanticsTCI.jl is a thin wrapper around TensorCrossInterpolation.jl and QuanticsGrids.jl, providing valuable functionalities for non-expert users’ performing quantics TCI (QTCI).
• InterpolativeQTT.jl implements multiscale interpolative construction of quantized tensor trains.

Maintenance-mode packages:

• Quantics.jl provides a high-level API for QTT operations built on ITensors.jl.
• FastMPOContractions.jl supports existing MPO contraction workflows.
• TCIITensorConversion.jl is historical. Its conversion functionality has been absorbed into TensorCrossInterpolation.jl as an extension.

Tutorials

Are you interested in learning how to use these libraries? If so, please visit our Julia tutorials page.