Quantum Computation with Generalized Binomial States in Cavity Quantum   Electrodynamics
  We study universal quantum computation in the cavity quantum electrodynamics (CQED) framework exploiting two orthonormal two-photon generalized binomial states as qubit and dispersive interactions of Rydberg atoms with high-$Q$ cavities. We show that an arbitrary qubit state may be generated and that controlled-NOT and 1-qubit rotation gates can be realized via standard atom-cavity interactions. 
Rosario Lo Franco, Giuseppe Compagno, Antonino Messina, and Anna   Napoli