Exact and Approximate Performance of Concatenated Quantum Codes
量子物理
2007-05-23 v2
摘要
We derive the effective channel for a logical qubit protected by an arbitrary quantum error-correcting code, and derive the map between channels induced by concatenation. For certain codes in the presence of single-bit Pauli errors, we calculate the exact threshold error probability for perfect fidelity in the infinite concatenation limit. We then use the control theory technique of balanced truncation to find low-order non-asymptotic approximations for the effective channel dynamics.
引用
@article{arxiv.quant-ph/0111003,
title = {Exact and Approximate Performance of Concatenated Quantum Codes},
author = {Benjamin Rahn and Andrew C. Doherty and Hideo Mabuchi},
journal= {arXiv preprint arXiv:quant-ph/0111003},
year = {2007}
}
备注
4 pages, 4 figures; updated reference 4, fixed typo