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Paper 1
Tensor Networks and Quantum Error Correction
Andrew J. Ferris, David Poulin
- Year
- 2013
- Journal
- arXiv preprint
- DOI
- arXiv:1312.4578
- arXiv
- 1312.4578
We establish several relations between quantum error correction (QEC) and tensor network (TN) methods of quantum many-body physics. We exhibit correspondences between well-known families of QEC codes and TNs, and demonstrate a formal equivalence between decoding a QEC code and contracting a TN. We build on this equivalence to propose a new family of quantum codes and decoding algorithms that generalize and improve upon quantum polar codes and successive cancellation decoding in a natural way.
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