Analytical technique for simplification of the encoder-decoder circuit for a perfect five-qubit error correction

Jin Yuan Hsieh, Che Ming Li, Der San Chuu

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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. In this work, the analytical method to simplify the encoder-decoder circuit is introduced and a circuit that is as simple as the existing 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 gates.

Original languageEnglish
Article number80
JournalNew Journal of Physics
Volume8
DOIs
Publication statusPublished - 2006 May 30

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

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