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Quantifying Non-Abelian Stability in Majorana Qubits through Rabi Beating Signatures

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arxiv 2502.09062 v2 pith:NZSIWPMH submitted 2025-02-13 cond-mat.mes-hall

Quantifying Non-Abelian Stability in Majorana Qubits through Rabi Beating Signatures

classification cond-mat.mes-hall
keywords stabilitybeatingrabimajoranadeviationsfrequencyquantitativelyquantum
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Evaluating the stability of Majorana qubits (MQs) is a central challenge for topological quantum computation. Here we propose a simple and experimentally accessible protocol to quantify MQ stability by coupling a quantum dot (QD) to an MQ, which induces Rabi oscillations in the QD charge occupation that can be directly detected using recently developed single-shot readout techniques. In realistic systems, deviations from ideal MQ behavior lead to a characteristic beating pattern in the Rabi dynamics. We show that the beating frequency scales linearly with these deviations while remaining independent of the base Rabi frequency, thereby providing a direct and quantitative measure of MQ stability. Importantly, the beating signature is robust against weak dissipation, and we further demonstrate that the effective model remains quantitatively accurate when benchmarked against a realistic minimal Kitaev chain. Our results establish a practical and scalable route for quantitatively characterizing Majorana qubit stability in current experimental platforms.

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