Quantum authentication scheme based on algebraic coding

Medeiros, Rex A. C.; de Assis, Francisco M.; Júior, Bernardo L.; Lima, Aércio F.

Quantum authentication scheme based on algebraic coding

Authors

Medeiros, Rex A. C.

de Assis, Francisco M.

Júior, Bernardo L.

Lima, Aércio F.

Description

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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