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Error correction code for protecting three-qubit quantum information against erasures

Chui-Ping Yang·Shih-I Chu·Siyuan Han
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Abstract

We present a quantum error correction code which protects three quantum bits (qubits) of quantum information against one erasure, i.e., a single-qubit arbitrary error at a known position. To accomplish this, we encode the original state by distributing quantum information over six qubits which is the minimal number for the present task (see reference [1]). The encoding and error recovery operations for such a code are presented. It is noted that the present code is also a three-qubit quantum hidded information code over each qubit. In addition, an encoding scheme for hiding $n$-qubit quantum information over each qubit is proposed.

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Chui-Ping Yang, Shih-I Chu, Siyuan Han. 2002-03-20. Error correction code for protecting three-qubit quantum information against erasures. https://arxiv.org/abs/quant-ph/0112141

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