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Ji-Zhe Lai

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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
Preprint Jul 2026

Algebraic Speedups for Exact Inversion of Hamiltonian Evolutions

Deterministic exact inversion of an arbitrary $d$-dimensional unitary requires {$\Theta(d^2)$} coherent forward calls in the worst case. We ask how this cost changes for Hamiltonian evolution $U(x)=\exp(i\sum_j x_jH_j)$ when the generators are known but the parameters are hidden. For one-parameter families with a fixed...

Ji-Zhe Lai, M. Jing, Erdong Huang et al. · 0 citations

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