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In this paper, we propose a scheme to realize three-qubit controlled phasegate and multiqubit controlled-NOT gate of one qubit simultaneously controllingn target qubit with four level quantum system in a cavity. Adjustment of levelspacing during the gates implementation is not required. Implementation timefor multiqubit controlled NOT gate is independent of number of qubit.Three-qubit phase gate is generalized to n-qubit phase gate with multiplecontrol qubit and the number of steps (complexity) reduces linearly as compareto conventional gate decomposition method. Our scheme can be applied to varioustypes of physical systems such as superconducting qubits coupled to resonatorand trapped atoms in a cavity. Experimental possibility of our approach is alsopresented.

Realization of quantum gates with multiple control qubits or multiple target qubits in a cavity