Enhancing practical security of quantum key distribution with a few   decoy states
  Quantum key distribution establishes a secret string of bits between two distant parties. Of concern in weak laser pulse schemes is the especially strong photon number splitting attack by an eavesdropper, but the decoy state method can detect this attack with current technology, yielding a high rate of secret bits. In this Letter, we develop rigorous security statements in the case of finite statistics with only a few decoy states, and we present the results of simulations of an experimental setup of a decoy state protocol that can be simply realized with current technology. 
Jim W. Harrington, J. Mark Ettinger, Richard J. Hughes, Jane E.   Nordholt