Quantum Codes from Classical Graphical Models

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

Abstract

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.

Citation

Roffe, J., Zohren, S., Horsman, D., & Chancellor, N. (2020). Quantum Codes from Classical Graphical Models. IEEE Transactions on Information Theory, 66(1), 130-146. https://doi.org/10.1109/tit.2019.2938751

• 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
• DOI: https://doi.org/10.1109/tit.2019.2938751