Analytical technique for simplification of the encoder-decoder circuit for a perfect five-qubit error correction
Quantum Physics
2007-05-23 v5
Abstract
Simpler encoding and decoding networks are necessary for more reliable quantum error correcting codes (QECCs). The simplification of the encoder-decoder circuit for a perfect five-qubit QECC can be derived analytically if the QECC is converted from its equivalent one-way entanglement purification protocol (1-EPP). In this work, the analytical method to simplify the encoder-decoder circuit is introduced and a circuit that is as simple as the existent simplest circuits is presented as an example. The encoder-decoder circuit presented here involves nine single- and two-qubit unitary operations, only six of which are controlled-NOT (CNOT) gates.
Cite
@article{arxiv.quant-ph/0410004,
title = {Analytical technique for simplification of the encoder-decoder circuit for a perfect five-qubit error correction},
author = {Jin-Yuan Hsieh and Che-Ming Li and Der-San Chuu},
journal= {arXiv preprint arXiv:quant-ph/0410004},
year = {2007}
}