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Author

Juntao You

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Preprint Aug 2026

Quantized Low-Rank Quantum State Tomography: Hyperbolic Quantization and Riemannian Least-Squares Recovery

We study low-rank quantum state tomography from finite-bit Pauli batch responses. To avoid bias introduced by generic quantization, we propose HyperQuant, a mean-preserving hyperbolic quantizer adapted to the second-moment scale of Pauli responses. We establish minimax distortion guarantees and show that exact mean pre...

Hanqin Cai, Longxiu Huang, Juntao You · 0 citations
#machine learning Preprint Sep 2026

Near-Optimal Nonconvex Matrix Completion

We study nonconvex methods for matrix completion, the problem of recovering a low-rank matrix from a subset of its entries. Convex methods achieve sample complexity linear in the matrix dimension and the rank, up to logarithmic factors, whereas global guarantees for commonly used nonconvex methods require a higher poly...

Jian-Feng Cai, Xi-Liang Lu, Juntao You · 0 citations

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