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We propose an efficient method to generate a GHZ entangled state of n photonsin n microwave cavities (or resonators) via resonant interaction to a singlesuperconducting qutrit. The deployment of a qutrit, instead of a qubit, as thecoupler enables us to use resonant interactions exclusively for allqutrit-cavity and qutrit-pulse operations. This unique approach significantlyshortens the time of operation which is advantageous to reducing the adverseeffects of qutrit decoherence and cavity decay on fidelity of the protocol.Furthermore, the protocol involves no measurement on either the state of qutritor cavity photons. We also show that the protocol can be generalized to othersystems by replacing the superconducting qutrit coupler with different types ofphysical qutrit, such as an atom in the case of cavity QED, to accomplish thesame task.

Generation of GHZ entangled states of photons in multiple cavities via a superconducting qutrit or an atom through resonant interaction