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

2004/10/31 by Jin-Yuan Hsieh, Che-Ming Li, Der-San Chuu · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum-Dot Cellular Automata #quant-ph

paper · pdf · doi:10.1088/1367-2630/8/5/080

published as New J. Phys. 8 (2006) 80

arxiv created 2005/12/23 · openalex publication_date 2006/05/30 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

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.

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