  We propose a scheme for realizing quantum controlled phase gates with two
nonidentical quantum dots trapped in two coupled photonic crystal cavities and
driven by classical laser fields under the condition of non-small hopping
limit. During the gate operation, neither the quantum dots are excited, while
the system can acquire different phases conditional upon the different states
of the quantum dots. Along with single-qubit operations, a two-qubit controlled
phase gate can be achieved.
