Comparative characteristics of quantum key distribution protocols with alphabets corresponding to the regular polyhedrons on the Bloch sphere

Denis V. Sych; Boris A. Grishanin; Victor N. Zadkov

doi:10.1117/12.620514

1 June 2005 Comparative characteristics of quantum key distribution protocols with alphabets corresponding to the regular polyhedrons on the Bloch sphere

Denis V. Sych, Boris A. Grishanin, Victor N. Zadkov

Author Affiliations +

Proceedings Volume 5833, Quantum Informatics 2004; (2005) https://doi.org/10.1117/12.620514
Event: 18th International Conference on Photoelectronics and Night Vision Devices and Quantum Informatics 2004, 2004, Moscow, Russian Federation

Abstract

Possibilities of improving characteristics of quantum key distribution (QKD) protocols via variation of character set in quantum alphabets are investigated. QKD protocols with discrete alphabets letters of which form regular polyhedrons on the Bloch sphere (tetrahedron octahedron cube icosahedron and dodecahedron which have 4, 6, 8, 12, and 20 vertexes) and QKD protocol with continuous alphabet which corresponds to the limiting case of a polyhedron with infinitive number of vertexes are considered. Stability of such QKD protocols to the interceptresend and optimal eavesdropping strategies at the individual attacks is studied in detail. It is shown that in case of optimal eavesdropping strategy after safety bases reconciliation critical error rate of the QKD protocol with continuous alphabet surpasses all other protocols. Without basis reconciliation the highest critical error rate have the protocol with tetrahedron-type alphabet.

Citation Download Citation

Denis V. Sych, Boris A. Grishanin, and Victor N. Zadkov "Comparative characteristics of quantum key distribution protocols with alphabets corresponding to the regular polyhedrons on the Bloch sphere", Proc. SPIE 5833, Quantum Informatics 2004, (1 June 2005); https://doi.org/10.1117/12.620514

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