Optimized error correction with repetition cat qubits.

Repetition cat qubits constitute a viable solution for low-overhead fault-tolerant quantum computation. We present an optimized error correction circuit for such an encoding. We perform numerical simulations of this optimized error correction protocol using a circuit-based error model.  The error models are carefully derived from the analysis of the master equation associated to two-photon driven dissipation and in presence of typical physical noise sources. We demonstrate an enhancement of the threshold for phase-flip error correction and a better scaling below the threshold.