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We propose a scheme for generating a genuine $\chi$-type four-particleentangled state of superconducting artificial atoms with broken symmetry byusing one-dimensional transmission line resonator as a data bus. The$\Delta$-type three-level artificial atom we use in the scheme is differentfrom natural atom and has cyclic transitions. After suitable interaction timeand simple operations, the desired entangled state can be obtained. Sinceartificial atomic excited states and photonic states are adiabaticallyeliminated, our scheme is robust against the spontaneous emissions ofartificial atoms and the decays of transmission line resonator.

Generation of genuine $\chi$-type four-particle entangled state of superconducting artificial atoms with broken symmetry