## Description

A block code of length \(n\) whose construction was inspired by a quantum code.

## Parent

## Children

## Cousins

- Cycle code — Cycle codes have been known in classical coding theory, and have been rediscovered in the quantum context; see Ref. [1] for a brief exposition.
- X-cube model code — According to Ref. [2], a classical analogue of the X-cube model is the eight-vertex model [3–5].

## References

- [1]
- G. Zémor, “On Cayley Graphs, Surface Codes, and the Limits of Homological Coding for Quantum Error Correction”, Lecture Notes in Computer Science 259 (2009) DOI
- [2]
- G. M. Nixon and B. J. Brown, “Correcting Spanning Errors With a Fractal Code”, IEEE Transactions on Information Theory 67, 4504 (2021) arXiv:2002.11738 DOI
- [3]
- B. Sutherland, “Two-Dimensional Hydrogen Bonded Crystals without the Ice Rule”, Journal of Mathematical Physics 11, 3183 (1970) DOI
- [4]
- R. J. Baxter, “Eight-Vertex Model in Lattice Statistics”, Physical Review Letters 26, 832 (1971) DOI
- [5]
- R. J. Baxter, “Partition function of the Eight-Vertex lattice model”, Annals of Physics 70, 193 (1972) DOI

## Page edit log

- Victor V. Albert (2023-12-26) — most recent

## Cite as:

“Quantum-inspired classical block code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/quantum_inspired