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Application of Classical Codes over GF(4) on Quantum Error Correction Codes

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Book cover Frontiers in Intelligent Computing: Theory and Applications

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1013))

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Abstract

This research studies the construction of classical linear code over Galois field 4. This classical code is self-orthogonal with Hermitian product. In addition, quantum stabilizer codes are investigated from the classical codes. Finally, quantum stabilizer codes, which are able to correct one error and detect two errors in quantum information channel, have been explained in detail to show the practicality of this construction.

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Acknowledgements

This work was supported by the Research Program through the National Research Foundation of Korea (NRF-2016R1D1A1B03934653, NRF-2019R1A2C1005920).

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Authors and Affiliations

  1. CIT Lab, University of Ulsan, Ulsan, 44610, South Korea

    Duc Manh Nguyen & Sunghwan Kim

Authors
  1. Duc Manh Nguyen
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  2. Sunghwan Kim
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Corresponding author

Correspondence to Sunghwan Kim .

Editor information

Editors and Affiliations

  1. School of Computer Engineering, KIIT Deemed to be University, Bhubaneswar, Odisha, India

    Suresh Chandra Satapathy

  2. Department of Electronics and Communication Engineering, SRMGPC, Lucknow, Uttar Pradesh, India

    Vikrant Bhateja

  3. Duy Tan University, Da Nang, Vietnam

    Bao Le Nguyen

  4. Graduate School, Duy Tan University, Da Nang, Vietnam

    Nhu Gia Nguyen

  5. Faculty of Information Technology, Hai Phong University, Hai Phong, Vietnam

    Dac-Nhuong Le

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Nguyen, D.M., Kim, S. (2020). Application of Classical Codes over GF(4) on Quantum Error Correction Codes. In: Satapathy, S., Bhateja, V., Nguyen, B., Nguyen, N., Le, DN. (eds) Frontiers in Intelligent Computing: Theory and Applications. Advances in Intelligent Systems and Computing, vol 1013. Springer, Singapore. https://doi.org/10.1007/978-981-32-9186-7_13

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