Corpus ID: 235606005

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
A Pairwise Connected Tensor Network Representation of Path Integrals
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 theExpand
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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) frameworkExpand

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