  Quantum transduction is an essential ingredient in scaling up distributed
quantum architecture and is actively pursued based on various physical
platforms. However, demonstrating a transducer with positive quantum capacity
is still practically challenging. In this work, we discuss a new approach to
relax the impedance matching condition to half impedance matching condition,
which is achieved by introducing two-photon drive in the electro-optic
transducer. We show the quantum transduction capacity can be enhanced and can
be understood in a simple interference picture with the help of Bloch-Messiah
decomposition. The parameter regimes with positive quantum capacity is
identified and compared with and without the drive, indicating that the
parametric drive-induced enhancement is really promising in demonstrating
quantum state conversion, and is expected to boost the performance of
transduction with various physical platforms.
