Quantum Diffie-Hellman key exchange

• URL: http://arxiv.org/abs/2501.09568v1
• Date: Thu, 16 Jan 2025 14:42:11 GMT
• Title: Quantum Diffie-Hellman key exchange
• Authors: Georgios M. Nikolopoulos,
• Abstract summary: We investigate the extension of Diffie-Hellman key exchange to the quantum setting. The proposed protocol relies on the mapping of integers onto a set of symmetric coherent states. Its security is analyzed in the framework of minimum-error-discrimination and photon-number-splitting attacks.
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• Abstract: The Diffie-Hellman key exchange plays a crucial role in conventional cryptography, as it allows two legitimate users to establish a common, usually ephemeral, secret key. Its security relies on the discrete-logarithm problem, which is considered to be a mathematical one-way function, while the final key is formed by random independent actions of the two users. In the present work we investigate the extension of Diffie-Hellman key exchange to the quantum setting, where the two legitimate users exchange independent random quantum states. The proposed protocol relies on the bijective mapping of integers onto a set of symmetric coherent states, and we investigate the regime of parameters for which the map behaves as a quantum one-way function. Its security is analyzed in the framework of minimum-error-discrimination and photon-number-splitting attacks, while its performance and the challenges in a possible realization are also discussed.

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