Quantum-inspired classical block code 

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

Your contribution is welcome!

on github.com (edit & pull request)— see instructions

edit on this site

Zoo Code ID: quantum_inspired

Cite as:
“Quantum-inspired classical block code”, The Error Correction Zoo (V. V. Albert & P. Faist, eds.), 2023. https://errorcorrectionzoo.org/c/quantum_inspired
BibTeX:
@incollection{eczoo_quantum_inspired, title={Quantum-inspired classical block code}, booktitle={The Error Correction Zoo}, year={2023}, editor={Albert, Victor V. and Faist, Philippe}, url={https://errorcorrectionzoo.org/c/quantum_inspired} }
Share via:
Twitter | Mastodon |  | E-mail
Permanent link:
https://errorcorrectionzoo.org/c/quantum_inspired

Cite as:

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

Github: https://github.com/errorcorrectionzoo/eczoo_data/edit/main/codes/classical/properties/block/quantum_inspired.yml.