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    "headline": "Non-Abelian Quantum Codes Reached Constant Rate and Linear Distance",
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    "dek": "A sheaf-code construction also produced an almost-good family whose full code space carries long-range magic.",
    "summary": "A sheaf-code construction also produced an almost-good family whose full code space carries long-range magic.",
    "body_text": "The framework gauges sheaf codes through cup products, uses explicit logical representatives and proves protection against arbitrary low-weight errors under the stated construction. It is a mathematical coding result, not a fabricated code family demonstrated on quantum hardware.",
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    "tags": [
      "quantum error correction",
      "qLDPC",
      "non-Abelian codes"
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      "title": "arXiv preprint 2609.30159",
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    "title": "Non-Abelian Quantum Codes Reached Constant Rate and Linear Distance",
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