Controlled-NOT gates for four-level atoms in a bimodal cavity

Abstract

We present a construction of the full set of controlled-not gates for four-level atoms trapped in a bimodal cavity. The qubits are defined as the two ground states of every atom and the single photon subspace of the cavity Hilbert space. For the construction we employ the dispersive interaction of the ground states and the cavity, and also single-qubit operations. The possibility to implement the full set of controlled-not gates indicates that the system is suitable for universal Quantum Computation.