Simplification of the encoder-decoder circuit for a perfect five-qubit error correction
Jin-Yuan Hsieh, Che‐Ming Li · arXiv (Cornell University) · 2004
Simpler networks of encoding and decoding 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 rather simple circuit 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.