Polynomial Generated Bosonic Code for Environment-Assisted Quantum Transduction

Recent findings suggest that engineering the environment of a bosonic channel using a non-Gaussian state can enhance its quantum capacity. Such an environment-assisted scheme is extremely valuable for quantum transduction schemes where limited interaction is available. It also holds significance for quantum communication with lossy bosonic modes. This work introduces a novel family of bosonic codes generated by polynomials, capable of transmitting quantum information with high fidelity under an arbitrary weak inter-mode coupling constant. Through detailed simulations and analysis, we demonstrate that our solution offers several advantages and is both feasible and practical for near-future realization.