# 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…

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## 3 Citations

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