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    Bounds on Autonomous Quantum Error Correction by Oles Shtanko, Yu-Jie Liu, Simon Lieu, Alexey V. Gorshkov, Victor V. Albert

    Published 2025-07-01
    “…We analyze Markovian autonomous decoders that can be implemented with a wide range of qubit and bosonic error-correcting codes, and derive several upper bounds and a lower bound on the logical error rate in terms of correction and noise rates. …”
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    Quantum Error-Corrected Non-Markovian Metrology by Zachary Mann, Ningping Cao, Raymond Laflamme, Sisi Zhou

    Published 2025-08-01
    “…Achieving the Heisenberg limit (HL)—the fundamental precision bound set by quantum mechanics—is often hindered by noise-induced decoherence, which typically reduces achievable precision to the standard quantum limit (SQL). While quantum error correction (QEC) can recover the HL under Markovian noise, its applicability to non-Markovian noise remains less explored. …”
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    Demonstration of Fault-Tolerant Steane Quantum Error Correction by Lukas Postler, Friederike Butt, Ivan Pogorelov, Christian D. Marciniak, Sascha Heußen, Rainer Blatt, Philipp Schindler, Manuel Rispler, Markus Müller, Thomas Monz

    Published 2024-08-01
    “…Encoding information redundantly using quantum error-correcting (QEC) codes allows one to overcome the inherent sensitivity to noise in quantum computers to ultimately achieve large-scale quantum computation. …”
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    Minimum distances of error-correcting codes in incidence rings by A. V. Kelarev

    Published 2003-01-01
    “…The main theorem of this paper gives a formula for the largest minimum distance of error-correcting codes considered as ideals in incidence rings defined by directed graphs.…”
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    Error Correction by AI in High-precision Navigation Systems by Zhu Tianyu

    Published 2025-01-01
    “…In order to solve the problem that the traditional method depends on the reference station and is greatly affected by occlusion, this paper introduces a novel approach to error correction utilizing artificial intelligence techniques. …”
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    Perturbative Stability and Error-Correction Thresholds of Quantum Codes by Yaodong Li, Nicholas O’Dea, Vedika Khemani

    Published 2025-02-01
    “…Topologically ordered phases are stable to local perturbations, and topological quantum error-correcting codes enjoy thresholds to local errors. …”
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    Research progress on Chinese and English text error correction by Wang Yao

    Published 2025-01-01
    “…Text error correction is an essential task in natural language processing (NLP) that focuses on automatically identifying and correcting errors in written text. …”
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    Superselection rules, quantum error correction, and quantum chromodynamics by Ning Bao, ChunJun Cao, Aidan Chatwin-Davies, Gong Cheng, Guanyu Zhu

    Published 2025-05-01
    “…Abstract We investigate the relationship between superselection rules and quantum error correcting codes. We demonstrate that the existence of a superselection rule implies the Knill-Laflamme condition in quantum error correction. …”
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    Decoding general error correcting codes and the role of complementarity by Yoshifumi Nakata, Takaya Matsuura, Masato Koashi

    Published 2025-01-01
    “…Abstract Among various classes of quantum error correcting codes (QECCs), non-stabilizer codes have rich properties and are of theoretical and practical interest. …”
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    Strategies for implementing quantum error correction in molecular rotation by Brandon J. Furey, Zhenlin Wu, Mariano Isaza-Monsalve, Stefan Walser, Elyas Mattivi, René Nardi, Philipp Schindler

    Published 2024-12-01
    “…In parallel, quantum error correction codes that can protect quantum information encoded in rotational states of a single molecule have been developed. …”
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    Stability of gapped quantum matter and error-correction with adiabatic noise by Ali Lavasani, Sagar Vijay

    Published 2025-05-01
    “…The codespace of a quantum error-correcting code can often be identified with the degenerate ground space within a gapped phase of quantum matter. …”
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