English

Introduction to Quantum Error Correction

Quantum Physics 2007-05-23 v1

Abstract

In this introduction we motivate and explain the ``decoding'' and ``subsystems'' view of quantum error correction. We explain how quantum noise in QIP can be described and classified, and summarize the requirements that need to be satisfied for fault tolerance. Considering the capabilities of currently available quantum technology, the requirements appear daunting. But the idea of ``subsystems'' shows that these requirements can be met in many different, and often unexpected ways.

Keywords

Cite

@article{arxiv.quant-ph/0207170,
  title  = {Introduction to Quantum Error Correction},
  author = {E. Knill and R. Laflamme and A. Ashikhmin and H. Barnum and L. Viola and W. H. Zurek},
  journal= {arXiv preprint arXiv:quant-ph/0207170},
  year   = {2007}
}

Comments

44 pages, to appear in LA Science. Hyperlinked PDF at http://www.c3.lanl.gov/~knill/qip/ecprhtml/ecprpdf.pdf, HTML at http://www.c3.lanl.gov/~knill/qip/ecprhtml