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 library for finite-dimensional QIT. It provides composable, kernel-checked interfaces for quantum...
| Authors | Chengkai Zhu, Ziao Tang, Guocheng Zhen et al. |
|---|---|
| Primary category | quant-ph |
| Published | 10 July 2026 |
| Last updated at source | 10 July 2026 |
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