Quantum key distribution in the Holevo limit

Abstract

A theorem by Shannon and the Holevo theorem impose that the efficiency of any protocol for quantum key distribution, $\mathcal{E}$, defined as the number of secret (i.e., allowing eavesdropping detection) bits per transmitted bit plus qubit, is $\mathcal{E}\le 1$. The problem addressed here is whether the limit $\mathcal{E}=1$ can be achieved. It is showed that it can be done by splitting the secret bits between several qubits and forcing Eve to have only a sequential access to the qubits, as proposed by Goldenberg and Vaidman. A protocol with $\mathcal{E}=1$ based on polarized photons and in which Bob's state discrimination can be implemented with linear optical elements is presented.

REVTeX, 4 pages, 2 figures

References in corpus (2)

• Experimental quantum teleportation
• Quantum key distribution without alternative measurements

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