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This research proposes a hardware-native approach to quantum error correction by compiling recovery rules into open-loop control cycles, eliminating the need for real-time syndrome measurement and feedback in transmon circuits. By demonstrating improved logical coherence stability under specific noise models within a four-bit ring architecture, the study offers a scalable framework for extending these techniques to larger quantum networks.
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Pulse-Level Compilation of Measurement-Free Recovery in Transmon Circuits

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arXiv:2609.16133v1 Announce Type: new Abstract: Quantum error correction commonly relies on syndrome measurement, decoding, and conditional feedback. We numerically show that the conditional spectrum of an interacting transmon circuit can compile a local recovery rule into a fixed open-loop control cycle. In a four-bit repetition-code ring, the resulting input-independent control slows the decay of logical coherence under Pauli-\(X\) noise and stabilizes logical-one population under data relaxation relative to uncorrected references. Its local, bounded-degree architecture provides a hardware-native framework for extending compiled recovery control to larger quantum networks.

Abstract:Quantum error correction commonly relies on syndrome measurement, decoding, and conditional feedback. We numerically show that the conditional spectrum of an interacting transmon circuit can compile a local recovery rule into a fixed open-loop control cycle. In a four-bit repetition-code ring, the resulting input-independent control slows the decay of logical coherence under Pauli-\(X\) noise and stabilizes logical-one population under data relaxation relative to uncorrected references. Its local, bounded-degree architecture provides a hardware-native framework for extending compiled recovery control to larger quantum networks.

arXiv:2609.16133 [quant-ph]

(or arXiv:2609.16133v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2609.16133 Focus to learn more arXiv-issued DOI via DataCite

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