Challenges and progress toward dynamical stabilization of advanced bosonic qubits

Over the past decade, dynamical stabilization of bosonic qubits has emerged as a promising approach for hardware-efficient protection of quantum information. However, applying these techniques to more complex encodings than the Schrodinger cat code requires exquisite control of high-order wave mixing processes in order to enable specific multiphotonic dissipation channels while avoiding unintended non-linear interactions.

In this talk I will present how methods originally designed for two-component cat qubits can be extended to stabilize multi-component cat states and GKP states. I will then detail pitfalls and recent progress toward the experimental implementation of these ideas.