Corpus ID: 220381310

Riemannian optimization of isometric tensor networks

@inproceedings{Hauru2020RiemannianOO,
  title={Riemannian optimization of isometric tensor networks},
  author={Markus Hauru and Maarten Van Damme and Jutho Haegeman},
  year={2020}
}
Several tensor networks are built of isometric tensors, i.e. tensors acting as linear operators W satisfying W †W = 1. Prominent examples include matrix product states (MPS) in canonical form and the multiscale entanglement renormalization ansatz (MERA). Such tensor networks can also represent quantum circuits and are thus of interest for quantum computing tasks, such as state preparation and quantum variational eigensolvers. We show how well-known methods of gradient-based optimization on… CONTINUE READING

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