Cavity-mediated probabilistic magic $T$-gate injection

• URL: http://arxiv.org/abs/2606.30628v1
• Date: Mon, 29 Jun 2026 17:56:14 GMT
• Title: Cavity-mediated probabilistic magic $T$-gate injection
• Abstract summary: We propose a cavity-based magic-state injection protocol for non-Clifford gates.<n>Our scheme exploits controlled atom-cavity interactions and conditional measurements.<n>We show that all required operations can be implemented with experimentally available techniques.
• Score: 0.764671395172401
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Non-Clifford gates are a necessary resource for universal quantum computation, yet their fault-tolerant implementation typically relies on magic-state distillation, which incurs significant overhead in qubit count and circuit depth. In this work, we propose a probabilistic cavity-based magic-state injection protocol. Our scheme exploits controlled atom-cavity interactions and conditional measurements to probabilistically prepare an effective magic state encoded in the first two level Fock subspace of a single cavity mode, achieving a success probability of $0.74$ per attempt, independent of the target magic phase. The cavity-encoded magic state is subsequently injected into a computational atom via a teleportation-based protocol mediated by dressed-state transitions, requiring only Clifford operations and a single auxiliary atom for readout. We show that all required operations -- state preparation, two-qubit exchange gates, and projective measurement -- can be implemented with experimentally available techniques in Rydberg atom-cavity platforms. We further discuss how the scheme can in principle be adapted to operate at the logical level, where collective Rydberg interactions and optical nonlinearities provide a route toward cavity-mediated $T$-gate injection directly into code-encoded qubits.

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