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Paper 1
Convolutional neural network based decoders for surface codes
Simone Bordoni, Stefano Giagu
- Year
- 2023
- Journal
- arXiv preprint
- DOI
- arXiv:2312.03508
- arXiv
- 2312.03508
The decoding of error syndromes of surface codes with classical algorithms may slow down quantum computation. To overcome this problem it is possible to implement decoding algorithms based on artificial neural networks. This work reports a study of decoders based on convolutional neural networks, tested on different code distances and noise models. The results show that decoders based on convolutional neural networks have good performance and can adapt to different noise models. Moreover, explainable machine learning techniques have been applied to the neural network of the decoder to better understand the behaviour and errors of the algorithm, in order to produce a more robust and performing algorithm.
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Reduced relative quantum entropy
Frank Hansen
- Year
- 2022
- Journal
- arXiv preprint
- DOI
- arXiv:2209.06118
- arXiv
- 2209.06118
We introduce the notion of reduced relative quantum entropy and prove that it is convex. This result is then used to give a simplified proof of a theorem of Lieb and Seiringer.
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