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Quantum Codes from Classical Graphical Models

Roffe, Joschka; Zohren, Stefan; Horsman, Dominic; Chancellor, Nicholas

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Joschka Roffe

Stefan Zohren

Dominic Horsman


We introduce a new graphical framework for designing quantum error correction codes based on classical principles. A key feature of this graphical language, over previous approaches, is that it is closely related to that of factor graphs or graphical models in classical information theory and machine learning. It enables us to formulate the description of the recently-introduced ‘coherent parity check’ quantum error correction codes entirely within the language of classical information theory. This makes our construction accessible without requiring background in quantum error correction or even quantum mechanics in general. More importantly, this allows for a collaborative interplay where one can design new quantum error correction codes derived from classical codes.


Roffe, J., Zohren, S., Horsman, D., & Chancellor, N. (2020). Quantum Codes from Classical Graphical Models. IEEE Transactions on Information Theory, 66(1), 130-146.

Journal Article Type Article
Online Publication Date Sep 2, 2019
Publication Date Jan 31, 2020
Deposit Date Sep 6, 2019
Publicly Available Date Dec 6, 2019
Journal IEEE Transactions on Information Theory
Print ISSN 0018-9448
Electronic ISSN 1557-9654
Publisher Institute of Electrical and Electronics Engineers
Peer Reviewed Peer Reviewed
Volume 66
Issue 1
Pages 130-146


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