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In this paper we present a new proof technique for semi-quantum keydistribution protocols which makes use of a quantum entropic uncertaintyrelation to bound an adversary's information. Our new technique provides a moreoptimistic key-rate bound than previous work relying only on noise statistics(as opposed to using additional mismatched measurements which increase thenoise tolerance of this protocol, but at the cost of requiring four times theamount of measurement data). Our new technique may hold application in theproof of security of other semi-quantum protocols or protocols relying ontwo-way quantum communication.

Key-Rate Bound of a Semi-Quantum Protocol Using an Entropic Uncertainty Relation