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Journal of Experimental and Theoretical Physics Letters

Enhancement of the robustness of phase-time quantum cryptography by block error correction

Dmitry Anatolevich Kronberg, S. N. Molotkov

Published Oct 1, 2010• 0 citations
Publisher

Abstract

A block encoding before the correction of errors has been considered for the quantum key distribution protocol with phase-time encoding. As compared to the other known quantum key distribution protocols, block encoding ensures the best results in terms of the allowable critical errors; therefore, the protocol with phasetime encoding is most stable under external actions.

DOI
10.1134/s0021364010190124

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A block encoding before the correction of errors has been considered for the quantum key distribution protocol with phase-time encoding. As compared to the other known quantum key distribution protocols, block encoding ensures the best results in terms of the allowable critical errors; therefore, the protocol with phasetime encoding is most stable under external actions.
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A cryptographic analysis is presented of a new quantum key distribution protocol using phase-time coding. An upper bound is obtained for the error rate that guarantees secure key distribution. It is shown that the maximum tolerable error rate for this protocol depends on the counting rate in the control time slot. When no counts are detected in the control time slot, the protocol guarantees secure key distribution if the bit error rate in the sifted key does not exceed 50%. This protocol partially discriminates between errors due to system defects (e.g., imbalance of a fiber-optic interferometer) and eavesdropping. In the absence of eavesdropping, the counts detected in the control time slot are not caused by interferometer imbalance, which reduces the requirements for interferometer stability.
This paper presents the design of a communication protocol leveraging quantum error-correcting codes to enhance the reliability of quantum communication. The core idea revolves around encoding quantum information using a specific quantum error-correcting code and subsequently transmitting this encoded information. During transmission, the protocol employs error detection and correction techniques based on the chosen code to mitigate the detrimental effects of noise and decoherence, which are inherent challenges in quantum communication. The proposed protocol aims to significantly improve the robustness of quantum communication channels, a critical step towards realizing practical quantum networks and secure quantum key distribution. The theoretical framework and mathematical formulation of the protocol are presented, detailing the encoding process, error detection, and correction mechanisms. This work contributes to the growing field of quantum communication by providing a concrete design methodology for building more reliable quantum communication systems.