English

Quantum Error Correction and Fault-Tolerance

Quantum Physics 2007-11-16 v1

Abstract

I give an overview of the basic concepts behind quantum error correction and quantum fault tolerance. This includes the quantum error correction conditions, stabilizer codes, CSS codes, transversal gates, fault-tolerant error correction, and the threshold theorem.

Keywords

Cite

@article{arxiv.quant-ph/0507174,
  title  = {Quantum Error Correction and Fault-Tolerance},
  author = {Daniel Gottesman},
  journal= {arXiv preprint arXiv:quant-ph/0507174},
  year   = {2007}
}

Comments

8 pages, to appear in Encyclopaedia of Mathematical Physics