REMARKABLE PHASE OSCILLATIONS APPEARING IN THE LATTICE-DYNAMICS OF EINSTEIN-PODOLSKY-ROSEN STATES

It is shown that the transformations of Einstein-Podolsky-Rosen states such as those used in communication and cryptography schemes can be described as a hopping motion on a finite phase space lattice associated with a finite Heisenberg group. Quantum mechanical Hamiltonians that generate the hopping are shown to cause phase oscillations characterized by the number-theoretic Legendre symbol. © 1995 The American Physical Society.