Multiplexed stabilization of cat qubits

Stabilized cat qubits have recently attracted interest due to their tunable noise bias, a property which can be exploited to improve error correction thresholds and reduce fault-tolerance overhead. Cat qubits have been realized in circuit QED experiments, where nonlinear circuit elements facilitate the driven-dissipative processes that stabilize the cat states. In order to scale up a cat-qubit architecture, it will be crucial to stabilize and couple multiple cat qubits in a way that both maximizes connectivity and minimizes crosstalk. In this talk, I will show how multiple cat qubits can be simultaneously stabilized by a single, shared nonlinear element, enabling increased connectivity and hardware efficiency. Moreover, I will discuss the sources of crosstalk in such architectures and show how the dominant sources can be effectively suppressed via filtering.