Quantum Key Distribution is a secret distribution technique that requires an

authenticated channel. This channel is usually created on top of an

un-authenticated communication medium using unconditionally secure Message

Authentication Codes (MAC) and an initial common secret. We examine the

consequences of replacing this MAC algorithm by a cryptographic hash-based

signature algorithm, like the Lamport algorithm. We show that provided one-way

functions exist, the Lamport algorithm or its variants can be instantiated in a

secure way in the Universally Composable sense, and can therefore be plugged

into any QKD protocol with a composable security proof in a secure manner. This

association, while relying on short-term computational hardness assumptions,

results in an increase of the practical security of QKD and eases its

deployment.

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