Équipe de Recherche en Physique de l'Information Quantique


Abstract = {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.},
Author = {Ferris, Andrew J. and Poulin, David},
Journal = {Phys. Rev. Lett.},
Volume = {113},
Pages = {030501},
Eprint = {arXiv:1312.4578},
Title = {Tensor Networks and Quantum Error Correction},
Year = {2014},
local-url = {FP13a.pdf}}