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

VL - 384

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 17

ER -