A scheme for conditional quantum phase gate viabimodal cavity and a Λ-type three-level atom

We propose a scheme to implement a two-qubit conditional quantum phase gatefor the intracavity field viaa single three-level \Lambda-type atom driven by two modes in a high-Q cavity. The quantum information is encoded on the Fock states of the bimodal cavity. The gate's averaged fidelity is expected to reach 99.8\%.