Author

Guocheng Zhen

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Preprint Aug 2026

Deterministic Minimum-Output-Entropy Nonadditivity via Haagerup's Inequality and Near-Free Permutation Representations

We give a deterministic realization of the finite-dimensional quadratic certificate underlying Collins's mixed-unitary proof of minimum-output-entropy nonadditivity. For every fixed integer $K\ge 2$ and rational $\eta>0$ satisfying $\log K>2(3+\eta)^2$, a deterministic polynomial-time algorithm, for every sufficiently...

Guo-Cheng Zhen, Cheng-Kai Zhu, Ranyiliu Chen et al. · 5 citations · ⚡1

Review Jul 2026

Benchmarking Agents for Proving Theorems in Quantum Algorithms and Quantum Information

Formal verification is becoming increasingly practical for quantum computing, yet the ability of AI agents to construct machine-checkable proofs in this domain remains unmeasured. We introduce Lean-QuantumAlg-Bench and Lean-QIT-Bench, two Lean 4 benchmarks containing 36 and 40 theorem-completion tasks for quantum algor...

Lei Zhang, Yusheng Zhao, Yimeng Cao et al. · 1 citation · ⚡1

Jul 2026

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

Lean-QIT provides a machine-readable foundation for formal QIT and a compositional knowledge substrate for emerging AI-assisted formalization, automated proof search, and agentic reasoning in quantum information and computation.

Chengkai Zhu, Ziao Tang, Guocheng Zhen et al. · arXiv.org · 2 citations