English

Decoherence and Efficiency of Quantum Error Correction

Quantum Physics 2008-02-03 v2

Abstract

Certain physical aspects of quantum error correction are discussed for a quantum computer (n-qubit register) in contact with a decohering environment. Under rather plausible assumptions upon the form of the computer-environment interaction, the efficiency of a general correcting procedure is evaluated as a function of the spontaneous-decay duration and the rank of errors covered by the procedure. It is proved that the probability of errors can be made arbitrarily small by enhancing the correction method, provided the decohering interaction is represented by a bounded operator.

Keywords

Cite

@article{arxiv.quant-ph/9608010,
  title  = {Decoherence and Efficiency of Quantum Error Correction},
  author = {M. Biskup and P. Cejnar and R. Kotecky},
  journal= {arXiv preprint arXiv:quant-ph/9608010},
  year   = {2008}
}

Comments

13 pages, no figures, REVTeX style, resubmission to Phys.Rev.A, important changes