A n-qubit controlled phase gate with superconducting quantum interference devices coupled to a resonator

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We present a way to realize a n-qubit controlled phase gate with superconducting quantum interference devices (SQUIDs) by coupling them to a superconducting resonator. In this proposal, the two logical states of a qubit are represented by the two lowest levels of a SQUID. An intermediate level of each SQUID is utilized to facilitate coherent control and manipulation of quantum states of the qubits. It is interesting to note that a n-qubit controlled phase gate can be achieved with n SQUIDs by successively applying a π/2 Jaynes-Cummings pulse to each of the n-1 control SQUIDs before and after a π Jaynes-Cummings pulse on the target SQUID.