Concatenating Decoherence Free Subspaces with Quantum Error Correcting Codes
Quantum Physics
2016-09-08 v2 Information Theory
Mathematical Physics
math.IT
math.MP
Abstract
An operator sum representation is derived for a decoherence-free subspace (DFS) and used to (i) show that DFSs are the class of quantum error correcting codes (QECCs) with fixed, unitary recovery operators, and (ii) find explicit representations for the Kraus operators of collective decoherence. We demonstrate how this can be used to construct a concatenated DFS-QECC code which protects against collective decoherence perturbed by independent decoherence. The code yields an error threshold which depends only on the perturbing independent decoherence rate.
Keywords
Cite
@article{arxiv.quant-ph/9809081,
title = {Concatenating Decoherence Free Subspaces with Quantum Error Correcting Codes},
author = {D. A. Lidar and D. Bacon and K. B. Whaley},
journal= {arXiv preprint arXiv:quant-ph/9809081},
year = {2016}
}
Comments
4 pages, no figures. Several changes. To appear in PRL