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On the generalization and improvement of QSDC efficiency achieved through a quantum channel compression

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Abstract

The paper presents a complete and general representation of the overall efficiency expression for the quantum secure direct communication (QSDC) protocol that relies on quantum channel compression (QCC). For this purpose, (i) the encoding technique, respectively, QCC is generalized—QCCs of higher order are introduced; (ii) the data statistics of the messages to be transferred are incorporated into the overall efficiency expression. An analysis is made concerning the behavior and the extent of the overall efficiency. It is justified that QSDC protocols, which are based on high order of QCC, could achieve efficiencies that have never been reached before.

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Notes

  1. Binary symbol of length n (n-bit symbol)-binary sequence comprised of n number of binary digits (zeros and ones) (e.g., 01—binary symbol of length two).

  2. Bitwise inverse—two binary symbols are bitwise binary inverse when their binary digits are opposite to each other (e.g., 00–11, or 10–01).

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Acknowledgements

The work is supported by the projects ДН07/10-2016 and ПД01/05-2018, funded by National Science Fund, Ministry of Education and Science, Bulgaria.

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  1. Technical University of Varna, 1 Studentska Str., 9010, Varna, Bulgaria

    Georgi Bebrov

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  1. Georgi Bebrov
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Correspondence to Georgi Bebrov.

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Bebrov, G. On the generalization and improvement of QSDC efficiency achieved through a quantum channel compression. Quantum Inf Process 18, 115 (2019). https://doi.org/10.1007/s11128-019-2227-4

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  • DOI: https://doi.org/10.1007/s11128-019-2227-4

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