Exponentially robust non-Clifford gate in a driven-dissipative circuit

• URL: http://arxiv.org/abs/2507.19713v1
• Date: Fri, 25 Jul 2025 23:26:48 GMT
• Title: Exponentially robust non-Clifford gate in a driven-dissipative circuit
• Authors: Liam O'Brien, Gil Refael, Frederik Nathan,
• Abstract summary: We propose a protocol for a protected non-Clifford $sqrtT$ gate at the physical qubit level.<n>We show that such a gate is topologically robust with exponentially infidelity from control or device imperfections.<n>We analyze the resilience of the protocol to noise, imperfect control, and imperfect targeting of circuit parameters.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-sa/4.0/
• 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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