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Quantum authentication scheme based on algebraic coding

Rex A. C. Medeiros·Francisco M. de Assis·Bernardo L. Júior·Aércio F. Lima
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Abstract

This paper presents a simple, but efficient class of non-interactive protocols for quantum authentication of $m$-length clas sical messages. The message is encoded using a classical linear algebraic code $C[n,m,t]$. We assume that Alice and Bob share a classical secret key, $x_{AB}$, of $n$ bits. Alice creates $n$ qubits based on the code word and the key, that indicates the bases used to create each qubit. The quantum states are sent to Bob through a noiseless quantum channel. We calculate the failure probability of the protocol considering several types of attacks.

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Rex A. C. Medeiros, Francisco M. de Assis, Bernardo L. Júior, Aércio F. Lima. 2003-07-15. Quantum authentication scheme based on algebraic coding. https://arxiv.org/abs/quant-ph/0307095

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