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No More Perfect Codes: Classification of Perfect Quantum Codes

Quantum Physics 2009-07-05 v1 Information Theory math.IT

Abstract

We solve the problem of the classification of perfect quantum codes. We prove that the only nontrivial perfect quantum codes are those with the parameters . There exist no other nontrivial perfect quantum codes.

Cite

@article{arxiv.0907.0049,
  title  = {No More Perfect Codes: Classification of Perfect Quantum Codes},
  author = {Zhuo Li and Lijuan Xing},
  journal= {arXiv preprint arXiv:0907.0049},
  year   = {2009}
}

Comments

3 pages, no figure

R2 v1 2026-06-21T13:19:52.095Z