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This project establishes a critical machine-readable infrastructure for quantum information theory, enabling rigorous verification of fundamental theorems like Holevo capacity and Schumacher's source-coding theorem within Lean 4. By separating operational definitions from analytic characterizations, it creates a composable foundation that can directly support emerging AI-assisted formalization workflows in quantum computation.
QudeLeap & HKUST Build Lean-QIT for Formalizing Quantum Theory

Researchers from QudeLeap and HKUST have created Lean-QIT, a Lean 4 library formalizing quantum information theory.
Researchers from QudeLeap Research in Shanghai and The Hong Kong University of Science and Technology (Guangzhou), along with researchers from The University of Hong Kong and Quantum Science Center of Guangdong-Hong-Macao Greater Bay Area, have collaborated to build Lean-QIT, a new library for formalizing quantum information theory using Lean 4. The project addresses a critical gap in current quantum information theory development by establishing a reusable operational layer that defines codes and error criteria independently of their theoretical characterizations. This infrastructure provides composable, kernel-checked interfaces for quantum states, channels, and…
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