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Exponentially robust non-Clifford gate in a driven-dissipative circuit
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abstract
Recent work (Nathan et al, arXiv:2405.05671) proposed an architecture for a dissipatively stabilized GKP qubit, and protocols for protected Clifford gates. Here we propose a protocol for a protected non-Clifford $\sqrt{T}$ gate at the physical qubit level, based on the inclusion of a quartic flux potential generated by ancillary Josephson junctions. We show that such a gate is topologically robust with exponentially suppressed infidelity from control or device imperfections, and operates on microsecond timescales for GHz resonators. We analyze the resilience of the protocol to noise, imperfect control, and imperfect targeting of circuit parameters.
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Cited by 1 Pith paper
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Protected measurements for protected superconducting qubits
Protected Z and X measurements of the 0-pi qubit are proposed, with exponentially suppressed errors via GKP-state encoding and charge-parity mapping.
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