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We present a new approach for implementing a $\sqrt{\rm swap}$ gate betweentwo spatially far apart sites connected by a large-size coupled cavity array asquantum bus. The duration is only related to the parity of cavity number butindependent of a specific number of cavity, thus it is possible to processquantum information in an arbitrary long distance in principle without timevaried. Referring to the recent experimental progresses on coupled-cavityarray, we also make an assessment of the scalability and take the cavity number$N$ = 5 as an example to illustrate the robustness of our proposal via quantumprocess tomography.

Long range universal quantum computation in large-size coupled cavity array independent of cavity number