Engineering fast bias-preserving gates on stabilized cat qubits

Stabilized cat codes can provide a biased noise channel with set of bias-preserving (BP) gates, which significantly reduce the resource overhead for fault-tolerant quantum computing. All existing schemes BP however, require adiabatic evolution, performance limited by excitation loss and nonadiabatic errors during gates. In this paper, we apply derivative-based leakage-suppression technique to overcome errors, so that implement fast gates on Kerr-cat qubits improved gate fidelity while maintaining high bias. When applied concatenated error correction, not only improve logical rate but also overhead, enables more efficient implementation