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ZX descriptions of basic error correction and magic-state distillation

ZX descriptions of basic error correction and magic-state distillation — original question and dated source context.

Historical source; current status unassessedAs of 2026-05-08Source & evidence ↓

Problem statement

6.1 ZXify Basic QEC

Sarah Meng Li (University of Amsterdam, NL) and Miriam Backens (INRIA Nancy – Grand-Est Research Center, FR)

License:

Source figure

Creative Commons BY 4.0 International license © Sarah Meng Li and Miriam Backens

Joint work of: Sarah Meng Li, Miriam Backens, Aleks Kissinger, John van de Wetering

Main reference: Aleks Kissinger, John van de Wetering: “Picturing Quantum Software: An Introduction to the ZX-Calculus and Quantum Compilation”, Preprint, 2024.

URL: https://github.com/zxcalc/book

We examined several directions for visualising basic quantum error correction and fault tolerance using the ZX calculus. These included analysing hook errors in the surface code, as well as understanding and unifying magic state distillation protocols.

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Progress & source assessment

Historical source dated 2026-05-08. Current resolution status has not been independently reassessed; bounds and claims in the source context refer to that date.

References
  1. [1]Quantum Error Correction Meets ZX-Calculus, Dagstuhl Seminar 25382, section 6.1 link

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