TY - JOUR
T1 - Reinforcement learning for optimal error correction of toric codes
AU - Domingo Colomer, Laia
AU - Skotiniotis, Michalis
AU - Muñoz-Tapia, Ramon
N1 - Funding Information:
The authors acknowledge support from Spanish MINECO reference FIS2016-80681-P (with the support of AEI/FEDER,EU); the Generalitat de Catalunya , project CIRIT 2017-SGR-1127 and the Baidu-UAB collaborative project ‘Learning of Quantum Hidden Markov Models’.
Publisher Copyright:
© 2020 Elsevier B.V.
PY - 2020/6/15
Y1 - 2020/6/15
N2 - We apply deep reinforcement learning techniques to design high threshold decoders for the toric code under uncorrelated noise. By rewarding the agent only if the decoding procedure preserves the logical states of the toric code, and using deep convolutional networks for the training phase of the agent, we observe near-optimal performance for uncorrelated noise around the theoretically optimal threshold of 11%. We observe that, by and large, the agent implements a policy similar to that of minimum weight perfect matchings even though no bias towards any policy is given a priori.
AB - We apply deep reinforcement learning techniques to design high threshold decoders for the toric code under uncorrelated noise. By rewarding the agent only if the decoding procedure preserves the logical states of the toric code, and using deep convolutional networks for the training phase of the agent, we observe near-optimal performance for uncorrelated noise around the theoretically optimal threshold of 11%. We observe that, by and large, the agent implements a policy similar to that of minimum weight perfect matchings even though no bias towards any policy is given a priori.
KW - Error correction
KW - Neural networks
KW - Reinforcement learning
KW - Toric code
UR - http://www.scopus.com/inward/record.url?scp=85080928628&partnerID=8YFLogxK
U2 - 10.1016/j.physleta.2020.126353
DO - 10.1016/j.physleta.2020.126353
M3 - Article
SN - 0375-9601
VL - 384
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 17
ER -