Determining a noisy quantum channel's classical capacity and entanglement cost generally requires regularization over many channel uses. We remove both regularizations for every qubit-to-qubit channel admitting a pure output. For each such channel, Holevo information, channel entanglement of formation, and parallel ent...
Ziao Tang, Cheng-Kai Zhu, Ge Bai et al.· 2 citations· ⚡1
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
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.
The results make precise how permutation-based logical entangling constrains code design within the HGP framework is designed, demonstrate the circuit-level benefits of the unique family, and guide the search for phantom qLDPC families with better asymptotic parameters for low-overhead fault tolerance on neutral-atom h...
K. He, Ziao Tang, Zetong Li et al.· 0 citations
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