Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session S72: Quantum Error Correction III
8:00 AM–11:00 AM,
Thursday, March 9, 2023
Room: Room 406
Sponsoring
Unit:
DQI
Chair: Dany Lachance-Quirion, Nord Quantique
Abstract: S72.00014 : Machine-Learning-Assisted Quantum Error Correction
10:36 AM–10:48 AM
Presenter:
Francisco Revson Fernandes Pereira
(IQM Quantum Computers)
Authors:
Francisco Revson Fernandes Pereira
(IQM Quantum Computers)
Martin Leib
(IQM Quantum Computers)
This work proposes a novel use of quantum hardware efficient QEC codes in conjunction with a QNN to detect, correct, and mitigate complex noise sources. We consider that the dominant noise source is known and dealt with via the stabilizer group. The unknown noise is corrected by a QNN reproducing a carefully chosen map that may or not depends on the stabilizer code used. Using the mathematical formulation of QNN and stabilizer codes, we propose a QNN that acts trivially over the code space and adapts to Kraus operators. Numerical simulations considering realistic noise models and chip topologies corroborate the expected improvements. Additionally, we show that the error correction capability is bounded from below by the cost function used to train the QNN. Furthermore, such a lower bound is an improved complexity description over previous literature on approximate QEC assisted by QNN.
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