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Journal of Russian Laser Research

Multiple-valued logic-protected coding for an optical non-quantum communication line

A. L. Antipov, Alexey Yu. Bykovsky, Nikolay A. Vasiliev, A. A. Egorov

Published Sep 1, 2006• 11 citations
Publisher
DOI
10.1007/s10946-006-0031-y

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Multiple-valued logic (MVL) formalism is shown to be an effective mean to work with secret keys and to check data modification in an optical data transfer channel. Such wireless data lines are needed for multiagent robotic systems including a group of mobile robots. In order to generate secret keys by means of open optical line one can choose beforehand an arbitrary MVL function, calculate its minimized logic term and afterwards calculate a huge number of different fragments of MVL function to realize secret MVL keys. The proposed method enlarges and complements the earlier proposed effective method of MVL secret coding tables for systems with high (more than 50) number of logic levels. Some problems of correct MVL function generation are discussed. MVL check functions method is also proposed to indicate data modification in messages. MVL non-quantum coding methods can be integrated with low-throughput quantum optics data channels for additional crypto protection.
Controlled quantum communication enables secure state transfer between a sender and receiver with the assistance of one or more controllers. However, practical implementation over optical fibre networks is severely hindered by amplitude damping, which reduces fidelity exponentially with distance. We address this challenge by combining two powerful techniques: cat-state encoding for error correction and optimal non-local CNOT gates for distributed gate implementation. The protocol eliminates the need for the physical position qubit itself to travel through the optical fibre, reducing damping events. We show, through density-matrix simulations, that our cat-code-protected protocol with a non-local CNOT operation achieves higher fidelity at 50 km, significantly outperforming the standard protocol. We analyse the protocol's security against beam-splitter attacks and show that CHSH tests provide security against beam-splitter attacks on the distributed entanglement resource despite the cat code's error correction. Our results establish that cat-code-protected controlled quantum communication is feasible with current technology and structurally extensible to multiple controllers, providing a theoretical framework for studying error-corrected controlled quantum communication over long-distance star quantum networks.