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    State-adaptive quantum error correction and fault-tolerant quantum computing

    Dong-Sheng Wang*

    • *Contact author: wds@itp.ac.cn

    Phys. Rev. A 113, 012438 – Published 26 January, 2026

    DOI: https://doi.org/10.1103/3z8s-jh28

    Abstract

    We present a theoretical framework for state-adaptive quantum error correction that bridges the gap between quantum computing and error correction paradigms. By incorporating knowledge of quantum states into the error correction process, we establish a new capacity regime governed by quantum mutual information rather than coherent information. This approach reveals a fundamental connection to entanglement-assisted protocols. We demonstrate practical applications in fault-tolerant quantum computation, showing how state adaptivity enables enhanced error correction without additional measurement overhead. The framework provides insights into quantum channel capacities while offering implementation advantages for current quantum computing platforms.

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