English

Recovery in quantum error correction for general noise without measurement

Quantum Physics 2013-04-11 v2 Functional Analysis

Abstract

It is known that one can do quantum error correction without syndrome measurement, which is often done in operator quantum error correction (OQEC). However, the physical realization could be challenging, especially when the recovery process involves high-rank projection operators and a superoperator. We use operator theory to improve OQEC so that the implementation can always be done by unitary gates followed by a partial trace operation. Examples are given to show that our error correction scheme outperforms the existing ones in various scenarios.

Keywords

Cite

@article{arxiv.1102.1618,
  title  = {Recovery in quantum error correction for general noise without measurement},
  author = {Chi-Kwong Li and Mikio Nakahara and Yiu-Tung Poon and Nung-Sing Sze and Hiroyuki Tomita},
  journal= {arXiv preprint arXiv:1102.1618},
  year   = {2013}
}

Comments

10 pages

R2 v1 2026-06-21T17:23:20.063Z