  Quantum transduction is an important building block for quantum networking.
Although various platforms have been proposed, the efficiency of
the-state-of-the-art systems is still way below the threshold to provide robust
quantum information transduction via a direct conversion approach. In [Phys.
Rev. Applied 16, 064044 (2021)], we propose a transduction paradigm based on
continuous-variable quantum teleportation that shows a much higher rate in the
low cooperativitiy region. While more recently, [Phys. Rev. Research 4, L042013
(2022)] proposes to utilize microwave squeezing to assist direct conversion. In
this work, we explore the role of squeezing in a teleportation-based
transduction protocol and identify a significant performance boost via
evaluating quantum capacity lower and upper bounds. Our analyses include both
microwave squeezing and optical squeezing, and provide a systematical benchmark
between the teleportation-based approach and direct conversion approach.
Although with the help of large squeezing, the difference between the
teleportation-based protocol and direct conversion protocol becomes smaller,
teleportation-based protocol still provides an overall better performance in
the practical cooperativity region. In particular, the teleportation-based
approach is more robust against imperfect extraction efficiency, even compared
with direct conversion with the optimal squeezing.
