  We propose a one-step scheme to implement a multiqubit controlled phase gate
of one qubit simultaneously controlling multiple qubits with three-level atoms
at distant nodes in coupled cavity arrays. The selective qubit-qubit couplings
are achieved by adiabatically eliminating the atomic excited states and
photonic states and the required phase shifts between the control qubit and any
target qubit can be realized through suitable choices of the parameters of the
external fields. Moreover, the effective model is robust against decoherence
because neither the atoms nor the field modes during the gate operation are
excited, leading to a useful step toward scalable quantum computing networks.
