Protected C-Parity Qubits Part 2: Gate Operations

Topologically protected qubits are an area of growing interest and active research, with the potential for orders-of-magnitude improvements in coherence. One such protected qubit is the charge-parity (C-parity) qubit, which consists of a pi-periodic Josephson element shunted by a large capacitance. In this talk we describe the implementation of protected gate operations in the C-parity qubit. Operations involve the modulation of capacitive and inductive shunt elements using SQUID switches that are integrated into the qubit device. We describe the fabrication and characterization of C-parity qubits involving integrated SQUID switches, and we discuss the path to experimental implementation of protected operations.