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jcmgray / Quimb

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A python library for quantum information and many-body calculations including tensor networks.

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.. raw:: html

<img src="https://github.com/jcmgray/quimb/blob/develop/docs/_static/quimb_logo_title.png" width="450px">

.. image:: https://dev.azure.com/quimb-org/quimb/_apis/build/status/jcmgray.quimb?branchName=develop :target: https://dev.azure.com/quimb-org/quimb/ :alt: Azure .. image:: https://codecov.io/gh/jcmgray/quimb/branch/master/graph/badge.svg :target: https://codecov.io/gh/jcmgray/quimb :alt: Code Coverage .. image:: https://img.shields.io/lgtm/grade/python/g/jcmgray/quimb.svg :target: https://lgtm.com/projects/g/jcmgray/quimb/ :alt: Code Quality .. image:: https://readthedocs.org/projects/quimb/badge/?version=latest :target: http://quimb.readthedocs.io/en/latest/?badge=latest :alt: Documentation Status .. image:: http://joss.theoj.org/papers/10.21105/joss.00819/status.svg :target: https://doi.org/10.21105/joss.00819 :alt: JOSS Paper .. image:: https://badges.gitter.im/quimb-chat/community.svg :target: https://gitter.im/quimb-chat/community?utm_source=badge&utm_medium=badge&utm_campaign=pr-badge :alt: Gitter


quimb <https://github.com/jcmgray/quimb>_ is an easy but fast python library for quantum information and many-body calculations, including with tensor networks. The code is hosted on github <https://github.com/jcmgray/quimb>_, do please submit any issues or pull requests there. It is also thoroughly unit-tested and the tests might be the best place to look for detailed documentation.

The core quimb module:

  • Uses straight numpy and scipy.sparse matrices as quantum objects
  • Accelerates and parallelizes many operations using numba <https://numba.pydata.org>_.
  • Makes it easy to construct operators in large tensor spaces (e.g. 2D lattices)
  • Uses efficient methods to compute various quantities including entanglement measures
  • Has many built-in states and operators, including those based on fast, parallel random number generation
  • Can perform evolutions with several methods, computing quantities on the fly
  • Has an optional slepc4py <https://bitbucket.org/slepc/slepc4py>_ interface for easy distributed (MPI) linear algebra. This can massively increase the performance when seeking, for example, mid-spectrum eigenstates

The tensor network submodule quimb.tensor:

  • Uses a geometry free representation of tensor networks
  • Uses opt_einsum <https://github.com/dgasmith/opt_einsum>_ to find efficient contraction orders for hundreds or thousands of tensors
  • Can perform those contractions on various backends, including with a GPU
  • Can plot any network, color-coded, with bond size represented
  • Can treat any network as a scipy LinearOperator, allowing many decompositions
  • Can perform DMRG1, DMRG2 and DMRGX, in matrix product state language
  • Has tools to efficiently address periodic problems (transfer matrix compression and pseudo-orthogonalization)
  • Can perform MPS time evolutions with TEBD
  • Can optimize arbitrary tensor networks with tensorflow, pytorch, jax or autograd

.. raw:: html

<img src="https://github.com/jcmgray/quimb/blob/develop/docs/_static/montage.png" width="800px">

The full documentation can be found at: <http://quimb.readthedocs.io/en/latest/>. Contributions of any sort are very welcome - please see the contributing guide <https://github.com/jcmgray/quimb/blob/develop/.github/CONTRIBUTING.md>. For 'non-github-issue' questions there is a gitter chat <https://gitter.im/quimb-chat/>_.

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