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We present a way to create entangled states of two superconducting transmonqutrits based on circuit QED. Here, a qutrit refers to a three-level quantumsystem. Since only resonant interaction is employed, the entanglement creationcan be completed within a short time. The degree of entanglement for theprepared entangled state can be controlled by varying the weight factors of theinitial state of one qutrit, which allows the prepared entangled state tochange from a partially entangled state to a maximally entangled state. Becausea single cavity is used, only resonant interaction is employed, and none ofidentical qutrit-cavity coupling constant, measurement, and auxiliary qutrit isneeded, this proposal is easy to implement in experiments. The proposal isquite general and can be applied to prepare a two-qutrit partially or maximallyentangled state with two natural or artificial atoms of a ladder-type levelstructure, coupled to an optical or microwave cavity.

Circuit QED: Generation of two-transmon-qutrit entangled states via resonant interaction