I am a physicist who is now doing some research in quantum information, which might involve tensor network.
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1$\begingroup$ There is a huge literature on the subject. Can you be more specific? $\endgroup$– Ryan ThorngrenCommented Mar 30, 2018 at 20:43
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$\begingroup$ A general introduction will do Maybe more about calculation of e.g. ground state wavefunction or partition function $\endgroup$– Weicheng YeCommented Apr 2, 2018 at 0:05
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$\begingroup$ Related: physics.stackexchange.com/q/404450/2451 $\endgroup$– Qmechanic ♦Commented Jun 18, 2018 at 17:31
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1 Answer
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Practical introduction to MPS (matrix product states) and PEPS (projected entangled pair states): https://arxiv.org/abs/1306.2164
Introduction to tensor networks, quantum information, some common algorithms using tensor networks: https://arxiv.org/abs/1603.03039
If you want to code algorithms and in general anything to do with tensor networks and specifically matrix product states: https://arxiv.org/abs/1008.3477
Tensor networks for lattice gauge theories: https://arxiv.org/abs/1810.12838
Libraries for tensor networks: https://itensor.org/ (C++, Julia), https://tenpy.github.io/ (Python)
I have also written an introductory paper on tensor networks, matrix product states and the quantum 1D Ising model where I explain my implementation of the variational ground state search algorithm in Julia: https://takisangelides.wixsite.com/personal/academic-projects (First paper on page),
Code for the above paper: https://github.com/TakisAngelides/Schwinger-Wilson-MPS