  Quantum transduction refers to the coherent conversion between microwave and
optical states, which can be achieved by quantum teleportation if given high
fidelity microwave-optical entanglement, namely entanglement-based quantum
transduction. Reliable microwave-optical entanglement can be generated using
various platforms. In this paper, we base the discussion on
piezo-optomechanical system and make the teleportation induced conversion
scheme more concrete in the framework of quantum channel theory. By comparing
the quantum capacity between the entanglement-based conversion channel and the
traditional direct quantum transduction channel, we show entanglement-based
scheme indeed admits a positive transduction rate when the direct quantum
transduction has zero quantum capacity. Given two piezo-optomechanical systems,
we also investigate the generation of microwave-microwave entanglement from
entanglement swapping within continuous variable and discrete variable
settings, showing the potentials of directly connecting microwave quantum
processor by microwave-microwave quantum teleportation.
