Constructing Perfect Quantum Transducers Using Multi-Mode Imperfect Transducers

Quantum transducers can transfer quantum information between different bosonic physical platforms, which are crucial for hybrid quantum devices and quantum networks. In practice, however, transduction devices are not perfect, as there are systematic deviations and coupling to other bosonic modes. Recently, Lau and Clerk showed that combining finite single-mode squeezing and imperfect transduction operations we can implement desired perfect quantum transduction, but only restricted to two-mode . In this work, we generalize the previous results and show how to transform generic multi-mode imperfect transducers into perfect transducers requiring only finite-squeezing resources, based on a general protocol of decoupling irrelevant bosonic modes from the original system.