  We propose a method to achieve strong coupling between a spin ensemble and a
large Josephson junctions (LJJ). Then, the strong coupling between two spin
ensembles can be induced by a LJJ. A non-adiabatic holonomic single-qubit
quantum gates is realized. Moreover, with the dispersive interaction between
the spin ensembles and the LJJ, the high-fidelity two-qubit phase gate can be
implemented with two spin ensembles within an operation time 0.41 ns and $\pi$
phase-swap gate can be realized within an operation time 103.11 ns with a high
fidelity greater than 99%.
