Autonomous protection of arbitrary bosonic codes with qubitized dissipators

Bosonic codes, where logical information is encoded into the phase space of an oscillator, are promising candidates for near-term error correction demonstrations. However, individual bosonic codes are usually described by tailor-made theories, and it is difficult to universally describe or implement their protection. We provide a constructive framework to autonomously protect any bosonic encoding from a Markovian channel whose jump errors it is Knill-Laflamme to. This framework is intuitively described in a subsystem decomposition, and captures well-known strategies like the Hamiltonian and dissipative stabilization of the cat code, or the autonomous error correction of the GKP code. We extend these strategies to arbitrary encodings, and importantly, show that these methods can be realized through stroboscopic interactions with an ancillary two-level qubit, enabling experimental realization on systems with universal control.