English

Pasting Quantum Codes

Quantum Physics 2007-05-23 v1

Abstract

I describe a method for pasting together certain quantum error-correcting codes that correct one error to make a single larger one-error quantum code. I show how to construct codes encoding 7 qubits in 13 qubits using the method, as well as 15 qubits in 21 qubits and all the other "perfect" codes.

Keywords

Cite

@article{arxiv.quant-ph/9607027,
  title  = {Pasting Quantum Codes},
  author = {Daniel Gottesman},
  journal= {arXiv preprint arXiv:quant-ph/9607027},
  year   = {2007}
}

Comments

7 pages, REVTeX, submitted to Phys. Rev. A