Quantum cryptography with a predetermined key, using continuous-variable Einstein-Podolsky-Rosen correlations

Correlations of the type discussed by EPR in their original 1935 paradox for continuous variables exist for the quadrature phase amplitudes of two spatially separated fields. These correlations were first experimentally reported in 1992. We propose to use such EPR beams in quantum cryptography, to transmit with high efficiency messages in such a way that the receiver and sender may later determine whether eavesdropping has occurred. The merit of the new proposal is in the possibility of transmitting a reasonably secure yet predetermined mined key. This would allow relay of a cryptographic key over long distances in the presence of lossy channels.