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A small error-correction code for protecting three-qubit quantum information

  • Quantum Information Science
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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. The present code has a high encoding efficiency, since only one auxiliary qubit is needed for one message qubit on average. In addition, we note that the code can also work even in a worse case that the interaction with the environment causes a leakage out of the qubit space. The code may have some applications in the storage of quantum information for small-scale quantum computing, quantum information processing, and quantum communication.

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Authors and Affiliations

  1. Department of Physics and Astronomy, University of Kansas, Lawrence, Kansas, 66045, USA

    Chui-Ping Yang & Siyuan Han

  2. Department of Chemistry, University of Kansas, and University of Kansas for Advanced Scientific Computing, Lawrence, Kansas, 66045, USA

    Chui-Ping Yang & Shih-I Chu

Authors
  1. Chui-Ping Yang
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  2. Shih-I Chu
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  3. Siyuan Han
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Additional information

From Pis’ma v Zhurnal Éksperimental’no\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) i Teoretichesko\(\overset{\lower0.5em\hbox{$\smash{\scriptscriptstyle\smile}$}}{l} \) Fiziki, Vol. 79, No. 5, 2004, pp. 291–295.

Original English Text Copyright © 2004 by Chui-Ping Yang, Shih-I Chu, Siyuan Han.

This article was submitted by the authors in English.

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Yang, CP., Chu, SI. & Han, S. A small error-correction code for protecting three-qubit quantum information. Jetp Lett. 79, 236–240 (2004). https://doi.org/10.1134/1.1753423

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  • DOI: https://doi.org/10.1134/1.1753423

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