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<img src="_static/kagome-contract-treeset-2.png" alt="quimb" width="800px"> | ||
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# Welcome to quimb's documentation! | ||
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[![Tests](https://github.com/jcmgray/quimb/actions/workflows/tests.yml/badge.svg)](https://github.com/jcmgray/quimb/actions/workflows/tests.yml) | ||
[![Code Coverage](https://codecov.io/gh/jcmgray/quimb/branch/main/graph/badge.svg)](https://codecov.io/gh/jcmgray/quimb) | ||
[![Code Quality](https://app.codacy.com/project/badge/Grade/3c7462a3c45f41fd9d8f0a746a65c37c)](https://www.codacy.com/gh/jcmgray/quimb/dashboard?utm_source=github.com&utm_medium=referral&utm_content=jcmgray/quimb&utm_campaign=Badge_Grade) | ||
[![Documentation Status](https://readthedocs.org/projects/quimb/badge/?version=latest)](http://quimb.readthedocs.io/en/latest/?badge=latest) | ||
[![JOSS Paper](http://joss.theoj.org/papers/10.21105/joss.00819/status.svg)](https://doi.org/10.21105/joss.00819) | ||
[![PyPI](https://img.shields.io/pypi/v/quimb?color=teal)](https://pypi.org/project/quimb/) | ||
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[`quimb`](https://github.com/jcmgray/quimb) is an easy but fast python library for *'quantum information many-body'* calculations, focusing primarily on **tensor networks**. The code is hosted on [github](https://github.com/jcmgray/quimb), and docs are hosted on [readthedocs](http://quimb.readthedocs.io/en/latest/). Functionality is split in two: | ||
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::::{grid} 2 | ||
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:::{grid-item-card} Tensor module | ||
:img-bottom: _static/rand-tensor.svg | ||
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The `quimb.tensor` module contains tools for working with **tensors and tensor networks**. It has a particular focus on automatically handling arbitrary geometry, e.g. beyond 1D and 2D lattices. With this you can: | ||
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- construct and manipulate arbitrary (hyper) graphs of tensor networks | ||
- automatically [contract](https://cotengra.readthedocs.io), optimize and draw networks | ||
- use various backend array libraries such as [jax](https://jax.readthedocs.io) and [torch](https://pytorch.org/) via [autoray](https://github.com/jcmgray/autoray/) | ||
- run specific MPS, PEPS, MERA and quantum circuit algorithms, such as DMRG & TEBD | ||
::: | ||
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:::{grid-item-card} Matrix module | ||
:img-bottom: _static/rand-herm-matrix.svg | ||
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The core `quimb` module contains tools for reference **'exact'** quantum calculations, where the states and operator are represented as either `numpy.ndarray` or `scipy.sparse` **matrices**. With this you can: | ||
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- construct operators in complicated tensor spaces | ||
- find groundstates, excited states and do time evolutions, including with [slepc](https://slepc.upv.es/) | ||
- compute various quantities including entanglement measures | ||
- take advantage of [numba](https://numba.pydata.org) accelerations | ||
- stochastically estimate $\mathrm{Tr}f(X)$ quantities | ||
::: | ||
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:::: | ||
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(guides)= | ||
## User Guide | ||
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The following guides give a basic introduction to the various parts: | ||
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```{toctree} | ||
:caption: Guides | ||
:maxdepth: 1 | ||
installation | ||
``` | ||
```{toctree} | ||
:maxdepth: 2 | ||
index_tn | ||
index_matrix | ||
``` | ||
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(examples)= | ||
## Examples | ||
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The following examples, generated from the notebooks in ``docs/examples``, | ||
demonstrate some more advanced features or complete usage: | ||
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```{toctree} | ||
:maxdepth: 2 | ||
index_examples | ||
``` | ||
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(citing)= | ||
## Citing | ||
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``quimb`` is published in the Journal of Open Source Software | ||
[here](https://doi.org/10.21105/joss.00819) - if it's ever useful in research | ||
please consider supporting development by citing it! | ||
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```latex | ||
@article{gray2018quimb, | ||
title={quimb: a python library for quantum information and many-body calculations}, | ||
author={Gray, Johnnie}, | ||
journal={Journal of Open Source Software}, | ||
year = {2018}, | ||
volume={3}, number={29}, pages={819}, | ||
doi={10.21105/joss.00819}, | ||
} | ||
``` | ||
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(development)= | ||
## Notes | ||
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Development notes, including on contributing to ``quimb`` and release details | ||
can be found below: | ||
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```{toctree} | ||
:caption: Development | ||
changelog | ||
develop | ||
``` | ||
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```{toctree} | ||
:hidden: | ||
GitHub Repository <https://github.com/jcmgray/quimb> | ||
``` |
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# Examples | ||
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```{toctree} | ||
:numbered: | ||
:maxdepth: 2 | ||
./examples/ex_2d | ||
./examples/ex_quench | ||
./examples/ex_distributed_shift_invert | ||
./examples/ex_tn_TRG | ||
./examples/ex_tn_rand_uni_gate_graphs | ||
./examples/ex_dmrg_periodic | ||
./examples/ex_TEBD_evo | ||
./examples/ex_MERA | ||
./examples/ex_tensorflow_optimize_pbc_mps | ||
./examples/ex_tn_train_circuit | ||
./examples/ex_tn_qaoa_energy_bayesopt | ||
./examples/ex_quimb_within_torch | ||
./examples/ex_quimb_within_jax_flax_optax | ||
./examples/ex_tn_tensor_fitting | ||
``` |
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# Matrix Guide | ||
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```{toctree} | ||
:numbered: | ||
:maxdepth: 2 | ||
basics | ||
generate | ||
calculating quantities | ||
solving systems | ||
distributed parallelism - mpi | ||
dynamics and evolution | ||
``` |
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# Tensor Network Guide | ||
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```{toctree} | ||
:numbered: | ||
:maxdepth: 2 | ||
tensor-basics | ||
tensor-contraction | ||
tensor-drawing | ||
tensor-optimization | ||
tensor-1d | ||
tensor-2d | ||
tensor-circuit | ||
tensor-design | ||
``` |
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