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The use of linearly independent signal states in realistic implementations ofquantum key distribution (QKD) enables an eavesdropper to perform unambiguousstate discrimination. We explore quantitatively the limits for secure QKDimposed by this fact taking into account that the receiver can monitor to someextend the photon number statistics of the signals even with todays standarddetection schemes. We compare our attack to the beamsplitting attack and showthat security against beamsplitting attack does not necessarily imply securityagainst the attack considered here.Comment: 10 pages, 6 figures, updated version with added discussion of  beamsplitting attac

Unambiguous state discrimination in quantum cryptography with weak coherent states