No More Perfect Codes: Classification of Perfect Quantum Codes
arXiv:0907.0049
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.
3 pages, no figure
References in corpus (6)
- Good Quantum Error-Correcting Codes Exist
- A Class of Quantum Error-Correcting Codes Saturating the Quantum Hamming Bound
- A Theory of Quantum Error-Correcting Codes
- Quantum Error Correction and Orthogonal Geometry
- Simple Quantum Error Correcting Codes
- Universal Framework for Quantum Error-Correcting Codes