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paperarXivTrust 82 · PrimaryPublished 6d agoLive · 2d ago

Lean-QIT: Towards a Formal Infrastructure for Quantum Information Theory

Quantum information theory (QIT) characterizes the capabilities and fundamental limits of quantum information processing, underpinning quantum communication, computation, and error correction. Formalizing its coding theorems requires connecting finite-block protocols, analytic inequalities, and asymptotic limits within a unified machine-checked framework. Existing developments, however, lack a reusable operational layer that defines codes, error criteria, achievable rates, and capacities independently of their information-theoretic characterizations. In this work, we present LeanQIT, a Lean 4

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  • LinkedLinked via arxiv author · 85%Chengkai Zhu

    Lean-QIT: Towards a Formal Infrastructure for Quantum Information Theory

  • LinkedLinked via arxiv author · 85%Ziao Tang

    Lean-QIT: Towards a Formal Infrastructure for Quantum Information Theory

  • LinkedLinked via arxiv author · 85%Guocheng Zhen

    Lean-QIT: Towards a Formal Infrastructure for Quantum Information Theory

  • LinkedLinked via arxiv author · 85%Yimeng Cao

    Lean-QIT: Towards a Formal Infrastructure for Quantum Information Theory

  • LinkedLinked via arxiv author · 85%Yusheng Zhao

    Lean-QIT: Towards a Formal Infrastructure for Quantum Information Theory

  • LinkedLinked via arxiv author · 85%Ranyiliu Chen

    Lean-QIT: Towards a Formal Infrastructure for Quantum Information Theory

  • LinkedLinked via arxiv author · 85%Xuanqiang Zhao

    Lean-QIT: Towards a Formal Infrastructure for Quantum Information Theory

  • LinkedLinked via arxiv author · 85%Lei Zhang

    Lean-QIT: Towards a Formal Infrastructure for Quantum Information Theory

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