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We propose a way to realize a multiqubit controlled phase gate with one qubitsimultaneously controlling $n$ target qubits using atoms in cavity QED. In thisproposal, there is no need of using classical pulses during the entire gateoperation. The gate operation time scales as $\sqrt{n}$ only and thus the gatecan be performed faster when compared with sending atoms through the cavity oneat a time. In addition, only three steps of operations are required forrealizing this $n$-target-qubit controlled phase gate. This proposal is quitegeneral, which can be applied to other physical systems such as varioussuperconducting qubits coupled to a resonator, NV centers coupled to amicrosphere cavity or quantum dots in cavity QED.

Realizing an $n$-target-qubit controlled phase gate in cavity QED: An approach without classical pulses