The　physical　implementation　of　quantum　gates　with　high　fidelity　is　one　of　the　key　technologies　of　quantum　computation　and　quantum　communication.　Based　on　the　circuit　quantum　electrodynamics　and　circuit　quantum　acoustodynamics　theory,　a　quantum　gate　scheme　composed　of　two　superconducting　transmon　qubits　with　long　coherence　time　and　a　film　bulk　acoustic　wave　resonator　(FBAR)　with　high　mechanical　quality　factor　is　proposed　in　this　paper.　The　bulk　acoustic　resonator　acts　as　a　microwave　photon　channel,　which　enables　quantum　state　exchange　between　two　transmon　qubits.　In　this　paper,　the　equivalent　circuit　of　bulk　acoustic　resonator　is　analyzed　by　the　Butterworth　Van　Dyke　model,　and　the　quantized　Hamiltonian　of　the　system　is　constructed,　then　the　quantum　state　of　the　system　is　encoded　in　the　form　of　two-level　atom-phonon　mixed　quantum　state.　The　input　state　of　the　system　is　controlled　by　adjusting　the　external　magnetic　field,　and　the　output　state　of　the　system　can　be　obtained　by　the　measurement　module.　Under　the　Jaynes-Cummings　model,　the　system　can　complete　quantum　iSWAP　gate　operation　with　high　fidelity.　©　2020,　Editorial　Department　of　Journal　of　Piezoelectric　and　Acoustooptic.　All　right　reserved.