# A tensor network representation of path integrals: Implementation and analysis

@inproceedings{Bose2021ATN, title={A tensor network representation of path integrals: Implementation and analysis}, author={Amartya Bose and Peter L. Walters}, year={2021} }

Tensors with finite correlation afford very compact tensor network representations. A novel tensor network-based decomposition of real-time path integral simulations involving Feynman-Vernon influence functional is introduced. In this tensor network path integral (TNPI) technique, the finite temporarily non-local interactions introduced by the influence functional can be captured very efficiently using matrix product state representation for the path amplitude (PA) tensor. We illustrate this… Expand

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A Pairwise Connected Tensor Network Representation of Path Integrals

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It has been recently shown how the tensorial nature of real-time path integrals involving the Feynman-Vernon influence functional can be utilized using matrix product states, taking advantage of the… Expand

A Multisite Decomposition of the Tensor Network Path Integrals

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Tensor network decompositions of path integrals for simulating open quantum systems have recently been proven to be useful. In this work, we extend the tensor network path integral (TNPI) framework… Expand

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