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We study the equivalence between a realistic quantum key distributionprotocol using coherent states and homodyne detection and a formal entanglementpurification protocol. Maximally-entangled qubit pairs that one can extract inthe formal protocol correspond to secret key bits in the realistic protocol.More specifically, we define a qubit encoding scheme that allows the formalprotocol to produce more than one entangled qubit pair per coherent state, orequivalently for the realistic protocol, more than one secret key bit. Theentanglement parameters are estimated using quantum tomography. We analyze theproperties of the encoding scheme and investigate its application to theimportant case of the attenuation channel.Comment: REVTeX, 11 pages, 2 figure

Secure coherent-state quantum key distribution protocols with efficient reconciliation